尊敬的 微信汇率:1円 ≈ 0.046166 元 支付宝汇率:1円 ≈ 0.046257元 [退出登录]
SlideShare a Scribd company logo
McCulloch-Pitts Neuron
Dr. Pravat Kumar Rout
Department of EEE, ITER, SOA University
Theory
Warren S. McCulloch
The McCulloch-Pitts Neuron was the
earliest neural network discovered in
1943.
The weights associated with
communication links may be
excitatory (weights are positive) or
inhibitory (weights are negative)
A threshold activation function plays
a major role in the M-P neuron. If the
net input is greater than the sum of
the input signals, the neuron fires.
Mostly used in the logic functions.
The activation of M-P neuron is
always binary in nature.
It consists of a number of input units
connected to a single output unit.
Salient features of McCulloch-Pitts artificial neuron
Architecture
Q1. For the network shown in Figure 1, calculate the weights are net input to the output neuron.
Solution: The given neural net consists of three input neurons and one output neuron. The inputs
and weights are
[𝑥1, 𝑥2, 𝑥3] = [0.3,0.5,0.6]
𝑤1, 𝑤2, 𝑤3 = [0.2,0.1, −0.3]
The net input can be calculated as
𝑦𝑖𝑛 = 𝑥1𝑤1 + 𝑥2𝑤2 + 𝑥3𝑤3
= 0.3 × 0.2 + 0.5 × 0.1 + 0.6 × −0.3
= 0.06 + 0.05 − 0.18 = −0.07
Example-1
Q2. Calculate the net input for the network shown in Figure 2 with bias included in the network.
Solution: The given net consists of two input neurons a bias and an output neuron. The inputs are
x1, x2 = 0.2,0.6 and the weights are [w1, w2]=[0.3,0.7]. Since the bias is included b=0.45 and bias
input x0is equal to 1. The net input is calculated as
yin= b + x1w1 + x2w2
= 0.45 + 0.2 × 0.3 + 0.6 × 0.7
= 0.45 + 0.06 + 0.42 = 0.93
Therefore, yin = 0.93is the net input.
Example-2
Q3. Obtain the output of the neuron Y for the network shown in Figure 3 using activation function
as: (1)binary sigmoidal and (ii) bipolar sigmoidal.
Solution: The given network has three neurons with bias and output neuron. These form a single layer
network. The inputs ere given as x1, x2, x3 = 0.8,0.6,0.4 and the weights are [w1, w2, w3]=[0.1,0.3,-0.2]
with bias b=0.35 (its input is always 1). The net input to the output neuron is
𝑦𝑖𝑛 = 𝑏 + ෍
𝑖=1
𝑛
𝑥𝑖𝑤𝑖
[n=3, because only 3 input neurons are given]
= b + x1 w1 + x2w2 + x3w3
= 0.35 + 0.8 × 0.1 + 0.6 × 0.3 + 0.4 × −0.2
= 0.35 + 0.08 + 0.18 − 0.08 = 0.53
(i)For binary sigmoidal activation function,
𝑦 = 𝑓 𝑦𝑖𝑛 =
1
1+𝑒−𝑦𝑖𝑛
=
1
1+𝑒−0.53 = 0.625
(ii) For bipolar sigmoidal activation function,
𝑦 = 𝑓 𝑦𝑖𝑛 =
2
1+𝑒−𝑦𝑖𝑛
− 1 =
2
1+𝑒−0.53 − 1 = 0.259
Example-3
Example-4: M-P Neuron to implementation the
logical AND operation
Example-5: M-P Neuron to implementation
the logical OR operation
Example-6: M-P Neuron to implementation the
logical AND-NOT operation
Example-7: M-P Neuron to implementation
the logical XOR operation
Assignment
Write down a suitable MATLAB program for implementing logic functions using M-P
neuron?
Mc culloch pitts neuron

More Related Content

What's hot

Soft computing
Soft computingSoft computing
Soft computing
ganeshpaul6
 
Multi Layer Network
Multi Layer NetworkMulti Layer Network
Activation function
Activation functionActivation function
Activation function
Astha Jain
 
Machine Learning: Introduction to Neural Networks
Machine Learning: Introduction to Neural NetworksMachine Learning: Introduction to Neural Networks
Machine Learning: Introduction to Neural Networks
Francesco Collova'
 
Mc Culloch Pitts Neuron
Mc Culloch Pitts NeuronMc Culloch Pitts Neuron
Mc Culloch Pitts Neuron
Shajun Nisha
 
Back propagation
Back propagationBack propagation
Back propagation
Nagarajan
 
Artificial neural network
Artificial neural networkArtificial neural network
Artificial neural network
Mohd Arafat Shaikh
 
Genetic algorithm ppt
Genetic algorithm pptGenetic algorithm ppt
Genetic algorithm ppt
Mayank Jain
 
Interconnection Network
Interconnection NetworkInterconnection Network
Interconnection Network
Heman Pathak
 
Convolutional Neural Network and Its Applications
Convolutional Neural Network and Its ApplicationsConvolutional Neural Network and Its Applications
Convolutional Neural Network and Its Applications
Kasun Chinthaka Piyarathna
 
Artifical Neural Network and its applications
Artifical Neural Network and its applicationsArtifical Neural Network and its applications
Artifical Neural Network and its applications
Sangeeta Tiwari
 
Artificial Neural Network Lect4 : Single Layer Perceptron Classifiers
Artificial Neural Network Lect4 : Single Layer Perceptron ClassifiersArtificial Neural Network Lect4 : Single Layer Perceptron Classifiers
Artificial Neural Network Lect4 : Single Layer Perceptron Classifiers
Mohammed Bennamoun
 
Neural network & its applications
Neural network & its applications Neural network & its applications
Neural network & its applications
Ahmed_hashmi
 
Principles of soft computing-Associative memory networks
Principles of soft computing-Associative memory networksPrinciples of soft computing-Associative memory networks
Principles of soft computing-Associative memory networks
Sivagowry Shathesh
 
Neural Networks
Neural NetworksNeural Networks
Neural Networks
Ismail El Gayar
 
Multilayer perceptron
Multilayer perceptronMultilayer perceptron
Multilayer perceptron
omaraldabash
 
Anfis (1)
Anfis (1)Anfis (1)
Anfis (1)
TarekBarhoum
 
Hopfield Networks
Hopfield NetworksHopfield Networks
Hopfield Networks
Kanchana Rani G
 
I. AO* SEARCH ALGORITHM
I. AO* SEARCH ALGORITHMI. AO* SEARCH ALGORITHM
I. AO* SEARCH ALGORITHM
vikas dhakane
 
Evaluating hypothesis
Evaluating  hypothesisEvaluating  hypothesis
Evaluating hypothesis
swapnac12
 

What's hot (20)

Soft computing
Soft computingSoft computing
Soft computing
 
Multi Layer Network
Multi Layer NetworkMulti Layer Network
Multi Layer Network
 
Activation function
Activation functionActivation function
Activation function
 
Machine Learning: Introduction to Neural Networks
Machine Learning: Introduction to Neural NetworksMachine Learning: Introduction to Neural Networks
Machine Learning: Introduction to Neural Networks
 
Mc Culloch Pitts Neuron
Mc Culloch Pitts NeuronMc Culloch Pitts Neuron
Mc Culloch Pitts Neuron
 
Back propagation
Back propagationBack propagation
Back propagation
 
Artificial neural network
Artificial neural networkArtificial neural network
Artificial neural network
 
Genetic algorithm ppt
Genetic algorithm pptGenetic algorithm ppt
Genetic algorithm ppt
 
Interconnection Network
Interconnection NetworkInterconnection Network
Interconnection Network
 
Convolutional Neural Network and Its Applications
Convolutional Neural Network and Its ApplicationsConvolutional Neural Network and Its Applications
Convolutional Neural Network and Its Applications
 
Artifical Neural Network and its applications
Artifical Neural Network and its applicationsArtifical Neural Network and its applications
Artifical Neural Network and its applications
 
Artificial Neural Network Lect4 : Single Layer Perceptron Classifiers
Artificial Neural Network Lect4 : Single Layer Perceptron ClassifiersArtificial Neural Network Lect4 : Single Layer Perceptron Classifiers
Artificial Neural Network Lect4 : Single Layer Perceptron Classifiers
 
Neural network & its applications
Neural network & its applications Neural network & its applications
Neural network & its applications
 
Principles of soft computing-Associative memory networks
Principles of soft computing-Associative memory networksPrinciples of soft computing-Associative memory networks
Principles of soft computing-Associative memory networks
 
Neural Networks
Neural NetworksNeural Networks
Neural Networks
 
Multilayer perceptron
Multilayer perceptronMultilayer perceptron
Multilayer perceptron
 
Anfis (1)
Anfis (1)Anfis (1)
Anfis (1)
 
Hopfield Networks
Hopfield NetworksHopfield Networks
Hopfield Networks
 
I. AO* SEARCH ALGORITHM
I. AO* SEARCH ALGORITHMI. AO* SEARCH ALGORITHM
I. AO* SEARCH ALGORITHM
 
Evaluating hypothesis
Evaluating  hypothesisEvaluating  hypothesis
Evaluating hypothesis
 

Similar to Mc culloch pitts neuron

Neurvvvvvvvvvvvvvvvvvvvval Networks.pptx
Neurvvvvvvvvvvvvvvvvvvvval Networks.pptxNeurvvvvvvvvvvvvvvvvvvvval Networks.pptx
Neurvvvvvvvvvvvvvvvvvvvval Networks.pptx
eman458700
 
SOFT COMPUTERING TECHNICS -Unit 1
SOFT COMPUTERING TECHNICS -Unit 1SOFT COMPUTERING TECHNICS -Unit 1
SOFT COMPUTERING TECHNICS -Unit 1
sravanthi computers
 
10-Perceptron.pdf
10-Perceptron.pdf10-Perceptron.pdf
10-Perceptron.pdf
ESTIBALYZJIMENEZCAST
 
Max net
Max netMax net
ACUMENS ON NEURAL NET AKG 20 7 23.pptx
ACUMENS ON NEURAL NET AKG 20 7 23.pptxACUMENS ON NEURAL NET AKG 20 7 23.pptx
ACUMENS ON NEURAL NET AKG 20 7 23.pptx
gnans Kgnanshek
 
Artificial Neural Network
Artificial Neural Network Artificial Neural Network
Artificial Neural Network
Iman Ardekani
 
071bct537 lab4
071bct537 lab4071bct537 lab4
071bct537 lab4
shailesh kandel
 
DNN.pptx
DNN.pptxDNN.pptx
DNN.pptx
someshleocola
 
Multilayer Backpropagation Neural Networks for Implementation of Logic Gates
Multilayer Backpropagation Neural Networks for Implementation of Logic GatesMultilayer Backpropagation Neural Networks for Implementation of Logic Gates
Multilayer Backpropagation Neural Networks for Implementation of Logic Gates
IJCSES Journal
 
Classification using perceptron.pptx
Classification using perceptron.pptxClassification using perceptron.pptx
Classification using perceptron.pptx
someyamohsen3
 
Soft Computering Technics - Unit2
Soft Computering Technics - Unit2Soft Computering Technics - Unit2
Soft Computering Technics - Unit2
sravanthi computers
 
6
66
Neural networks
Neural networksNeural networks
Neural networks
Slideshare
 
Artificial Neural Networks Lect2: Neurobiology & Architectures of ANNS
Artificial Neural Networks Lect2: Neurobiology & Architectures of ANNSArtificial Neural Networks Lect2: Neurobiology & Architectures of ANNS
Artificial Neural Networks Lect2: Neurobiology & Architectures of ANNS
Mohammed Bennamoun
 
Artificial Neural Networks (ANNs) focusing on the perceptron Algorithm.pptx
Artificial Neural Networks (ANNs) focusing on the perceptron Algorithm.pptxArtificial Neural Networks (ANNs) focusing on the perceptron Algorithm.pptx
Artificial Neural Networks (ANNs) focusing on the perceptron Algorithm.pptx
MDYasin34
 
Artificial Neural Network
Artificial Neural NetworkArtificial Neural Network
Artificial Neural Network
ssuserab4f3e
 
19_Learning.ppt
19_Learning.ppt19_Learning.ppt
19_Learning.ppt
gnans Kgnanshek
 
تطبيق الشبكة العصبية الاصطناعية (( ANN في كشف اعطال منظومة نقل القدرة الكهربائية
تطبيق الشبكة العصبية الاصطناعية (( ANN في كشف اعطال منظومة نقل القدرة الكهربائيةتطبيق الشبكة العصبية الاصطناعية (( ANN في كشف اعطال منظومة نقل القدرة الكهربائية
تطبيق الشبكة العصبية الاصطناعية (( ANN في كشف اعطال منظومة نقل القدرة الكهربائية
ssuserfdec151
 
lecture07.ppt
lecture07.pptlecture07.ppt
lecture07.ppt
butest
 
2-Perceptrons.pdf
2-Perceptrons.pdf2-Perceptrons.pdf
2-Perceptrons.pdf
DrSmithaVasP
 

Similar to Mc culloch pitts neuron (20)

Neurvvvvvvvvvvvvvvvvvvvval Networks.pptx
Neurvvvvvvvvvvvvvvvvvvvval Networks.pptxNeurvvvvvvvvvvvvvvvvvvvval Networks.pptx
Neurvvvvvvvvvvvvvvvvvvvval Networks.pptx
 
SOFT COMPUTERING TECHNICS -Unit 1
SOFT COMPUTERING TECHNICS -Unit 1SOFT COMPUTERING TECHNICS -Unit 1
SOFT COMPUTERING TECHNICS -Unit 1
 
10-Perceptron.pdf
10-Perceptron.pdf10-Perceptron.pdf
10-Perceptron.pdf
 
Max net
Max netMax net
Max net
 
ACUMENS ON NEURAL NET AKG 20 7 23.pptx
ACUMENS ON NEURAL NET AKG 20 7 23.pptxACUMENS ON NEURAL NET AKG 20 7 23.pptx
ACUMENS ON NEURAL NET AKG 20 7 23.pptx
 
Artificial Neural Network
Artificial Neural Network Artificial Neural Network
Artificial Neural Network
 
071bct537 lab4
071bct537 lab4071bct537 lab4
071bct537 lab4
 
DNN.pptx
DNN.pptxDNN.pptx
DNN.pptx
 
Multilayer Backpropagation Neural Networks for Implementation of Logic Gates
Multilayer Backpropagation Neural Networks for Implementation of Logic GatesMultilayer Backpropagation Neural Networks for Implementation of Logic Gates
Multilayer Backpropagation Neural Networks for Implementation of Logic Gates
 
Classification using perceptron.pptx
Classification using perceptron.pptxClassification using perceptron.pptx
Classification using perceptron.pptx
 
Soft Computering Technics - Unit2
Soft Computering Technics - Unit2Soft Computering Technics - Unit2
Soft Computering Technics - Unit2
 
6
66
6
 
Neural networks
Neural networksNeural networks
Neural networks
 
Artificial Neural Networks Lect2: Neurobiology & Architectures of ANNS
Artificial Neural Networks Lect2: Neurobiology & Architectures of ANNSArtificial Neural Networks Lect2: Neurobiology & Architectures of ANNS
Artificial Neural Networks Lect2: Neurobiology & Architectures of ANNS
 
Artificial Neural Networks (ANNs) focusing on the perceptron Algorithm.pptx
Artificial Neural Networks (ANNs) focusing on the perceptron Algorithm.pptxArtificial Neural Networks (ANNs) focusing on the perceptron Algorithm.pptx
Artificial Neural Networks (ANNs) focusing on the perceptron Algorithm.pptx
 
Artificial Neural Network
Artificial Neural NetworkArtificial Neural Network
Artificial Neural Network
 
19_Learning.ppt
19_Learning.ppt19_Learning.ppt
19_Learning.ppt
 
تطبيق الشبكة العصبية الاصطناعية (( ANN في كشف اعطال منظومة نقل القدرة الكهربائية
تطبيق الشبكة العصبية الاصطناعية (( ANN في كشف اعطال منظومة نقل القدرة الكهربائيةتطبيق الشبكة العصبية الاصطناعية (( ANN في كشف اعطال منظومة نقل القدرة الكهربائية
تطبيق الشبكة العصبية الاصطناعية (( ANN في كشف اعطال منظومة نقل القدرة الكهربائية
 
lecture07.ppt
lecture07.pptlecture07.ppt
lecture07.ppt
 
2-Perceptrons.pdf
2-Perceptrons.pdf2-Perceptrons.pdf
2-Perceptrons.pdf
 

More from Siksha 'O' Anusandhan (Deemed to be University )

Defining the Research Problem .pdf
Defining the Research Problem .pdfDefining the Research Problem .pdf
Defining the Research Problem .pdf
Siksha 'O' Anusandhan (Deemed to be University )
 
phd Thesis and Paper writing.pdf
phd Thesis and Paper writing.pdfphd Thesis and Paper writing.pdf
phd Thesis and Paper writing.pdf
Siksha 'O' Anusandhan (Deemed to be University )
 
Presentation.pdf
Presentation.pdfPresentation.pdf
An Introduction to Research Methodology.pdf
An Introduction to Research Methodology.pdfAn Introduction to Research Methodology.pdf
An Introduction to Research Methodology.pdf
Siksha 'O' Anusandhan (Deemed to be University )
 
Dr. P.K. Rout Final_my jouney.pdf
Dr. P.K. Rout Final_my jouney.pdfDr. P.K. Rout Final_my jouney.pdf
Dr. P.K. Rout Final_my jouney.pdf
Siksha 'O' Anusandhan (Deemed to be University )
 
VIRTUAL POWER PLANT (VPP).pdf
VIRTUAL POWER PLANT (VPP).pdfVIRTUAL POWER PLANT (VPP).pdf
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Siksha 'O' Anusandhan (Deemed to be University )
 
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Siksha 'O' Anusandhan (Deemed to be University )
 
Design and implementation of active power filter for harmonic elimination and...
Design and implementation of active power filter for harmonic elimination and...Design and implementation of active power filter for harmonic elimination and...
Design and implementation of active power filter for harmonic elimination and...
Siksha 'O' Anusandhan (Deemed to be University )
 
Topologies and Controls for Optimal Energy Bifurcation in AC, DC, and Hybrid ...
Topologies and Controls for Optimal Energy Bifurcation in AC, DC, and Hybrid ...Topologies and Controls for Optimal Energy Bifurcation in AC, DC, and Hybrid ...
Topologies and Controls for Optimal Energy Bifurcation in AC, DC, and Hybrid ...
Siksha 'O' Anusandhan (Deemed to be University )
 
Final talk trident-05-10-2021- dr p k rout-converted
Final talk trident-05-10-2021- dr p k rout-convertedFinal talk trident-05-10-2021- dr p k rout-converted
Final talk trident-05-10-2021- dr p k rout-converted
Siksha 'O' Anusandhan (Deemed to be University )
 
Role of teachers in technical education
Role of teachers in technical educationRole of teachers in technical education
Role of teachers in technical education
Siksha 'O' Anusandhan (Deemed to be University )
 
Technical presentation format for M.Tech, Ph.D. students
Technical presentation format for M.Tech, Ph.D. students Technical presentation format for M.Tech, Ph.D. students
Technical presentation format for M.Tech, Ph.D. students
Siksha 'O' Anusandhan (Deemed to be University )
 
Integrated protection and control strategies for microgrid
Integrated protection and control strategies for microgrid Integrated protection and control strategies for microgrid
Integrated protection and control strategies for microgrid
Siksha 'O' Anusandhan (Deemed to be University )
 
Integrated protection and control strategies for microgrid
Integrated protection and control strategies for microgridIntegrated protection and control strategies for microgrid
Integrated protection and control strategies for microgrid
Siksha 'O' Anusandhan (Deemed to be University )
 
Differential evolution optimization technique
Differential evolution optimization techniqueDifferential evolution optimization technique
Differential evolution optimization technique
Siksha 'O' Anusandhan (Deemed to be University )
 
Defuzzification
DefuzzificationDefuzzification
Fuzzy relations and fuzzy compositional rules
Fuzzy relations  and fuzzy compositional rulesFuzzy relations  and fuzzy compositional rules
Fuzzy relations and fuzzy compositional rules
Siksha 'O' Anusandhan (Deemed to be University )
 
If then rule in fuzzy logic and fuzzy implications
If then rule  in fuzzy logic and fuzzy implicationsIf then rule  in fuzzy logic and fuzzy implications
If then rule in fuzzy logic and fuzzy implications
Siksha 'O' Anusandhan (Deemed to be University )
 
Linguistic hedges in fuzzy logic
Linguistic hedges in fuzzy logicLinguistic hedges in fuzzy logic
Linguistic hedges in fuzzy logic
Siksha 'O' Anusandhan (Deemed to be University )
 

More from Siksha 'O' Anusandhan (Deemed to be University ) (20)

Defining the Research Problem .pdf
Defining the Research Problem .pdfDefining the Research Problem .pdf
Defining the Research Problem .pdf
 
phd Thesis and Paper writing.pdf
phd Thesis and Paper writing.pdfphd Thesis and Paper writing.pdf
phd Thesis and Paper writing.pdf
 
Presentation.pdf
Presentation.pdfPresentation.pdf
Presentation.pdf
 
An Introduction to Research Methodology.pdf
An Introduction to Research Methodology.pdfAn Introduction to Research Methodology.pdf
An Introduction to Research Methodology.pdf
 
Dr. P.K. Rout Final_my jouney.pdf
Dr. P.K. Rout Final_my jouney.pdfDr. P.K. Rout Final_my jouney.pdf
Dr. P.K. Rout Final_my jouney.pdf
 
VIRTUAL POWER PLANT (VPP).pdf
VIRTUAL POWER PLANT (VPP).pdfVIRTUAL POWER PLANT (VPP).pdf
VIRTUAL POWER PLANT (VPP).pdf
 
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
 
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
Robust Active Power Filter Controller Design for Microgrid and Electric Vehic...
 
Design and implementation of active power filter for harmonic elimination and...
Design and implementation of active power filter for harmonic elimination and...Design and implementation of active power filter for harmonic elimination and...
Design and implementation of active power filter for harmonic elimination and...
 
Topologies and Controls for Optimal Energy Bifurcation in AC, DC, and Hybrid ...
Topologies and Controls for Optimal Energy Bifurcation in AC, DC, and Hybrid ...Topologies and Controls for Optimal Energy Bifurcation in AC, DC, and Hybrid ...
Topologies and Controls for Optimal Energy Bifurcation in AC, DC, and Hybrid ...
 
Final talk trident-05-10-2021- dr p k rout-converted
Final talk trident-05-10-2021- dr p k rout-convertedFinal talk trident-05-10-2021- dr p k rout-converted
Final talk trident-05-10-2021- dr p k rout-converted
 
Role of teachers in technical education
Role of teachers in technical educationRole of teachers in technical education
Role of teachers in technical education
 
Technical presentation format for M.Tech, Ph.D. students
Technical presentation format for M.Tech, Ph.D. students Technical presentation format for M.Tech, Ph.D. students
Technical presentation format for M.Tech, Ph.D. students
 
Integrated protection and control strategies for microgrid
Integrated protection and control strategies for microgrid Integrated protection and control strategies for microgrid
Integrated protection and control strategies for microgrid
 
Integrated protection and control strategies for microgrid
Integrated protection and control strategies for microgridIntegrated protection and control strategies for microgrid
Integrated protection and control strategies for microgrid
 
Differential evolution optimization technique
Differential evolution optimization techniqueDifferential evolution optimization technique
Differential evolution optimization technique
 
Defuzzification
DefuzzificationDefuzzification
Defuzzification
 
Fuzzy relations and fuzzy compositional rules
Fuzzy relations  and fuzzy compositional rulesFuzzy relations  and fuzzy compositional rules
Fuzzy relations and fuzzy compositional rules
 
If then rule in fuzzy logic and fuzzy implications
If then rule  in fuzzy logic and fuzzy implicationsIf then rule  in fuzzy logic and fuzzy implications
If then rule in fuzzy logic and fuzzy implications
 
Linguistic hedges in fuzzy logic
Linguistic hedges in fuzzy logicLinguistic hedges in fuzzy logic
Linguistic hedges in fuzzy logic
 

Recently uploaded

一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
nonods
 
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
IJCNCJournal
 
Butterfly Valves Manufacturer (LBF Series).pdf
Butterfly Valves Manufacturer (LBF Series).pdfButterfly Valves Manufacturer (LBF Series).pdf
Butterfly Valves Manufacturer (LBF Series).pdf
Lubi Valves
 
Basic principle and types Static Relays ppt
Basic principle and  types  Static Relays pptBasic principle and  types  Static Relays ppt
Basic principle and types Static Relays ppt
Sri Ramakrishna Institute of Technology
 
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdfAsymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
felixwold
 
Call Girls In Lucknow 🔥 +91-7014168258🔥High Profile Call Girl Lucknow
Call Girls In Lucknow 🔥 +91-7014168258🔥High Profile Call Girl LucknowCall Girls In Lucknow 🔥 +91-7014168258🔥High Profile Call Girl Lucknow
Call Girls In Lucknow 🔥 +91-7014168258🔥High Profile Call Girl Lucknow
yogita singh$A17
 
Intuit CRAFT demonstration presentation for sde
Intuit CRAFT demonstration presentation for sdeIntuit CRAFT demonstration presentation for sde
Intuit CRAFT demonstration presentation for sde
ShivangMishra54
 
Sri Guru Hargobind Ji - Bandi Chor Guru.pdf
Sri Guru Hargobind Ji - Bandi Chor Guru.pdfSri Guru Hargobind Ji - Bandi Chor Guru.pdf
Sri Guru Hargobind Ji - Bandi Chor Guru.pdf
Balvir Singh
 
🔥 Hyderabad Call Girls  👉 9352988975 👫 High Profile Call Girls Whatsapp Numbe...
🔥 Hyderabad Call Girls  👉 9352988975 👫 High Profile Call Girls Whatsapp Numbe...🔥 Hyderabad Call Girls  👉 9352988975 👫 High Profile Call Girls Whatsapp Numbe...
🔥 Hyderabad Call Girls  👉 9352988975 👫 High Profile Call Girls Whatsapp Numbe...
aarusi sexy model
 
High Profile Call Girls Ahmedabad 🔥 7737669865 🔥 Real Fun With Sexual Girl Av...
High Profile Call Girls Ahmedabad 🔥 7737669865 🔥 Real Fun With Sexual Girl Av...High Profile Call Girls Ahmedabad 🔥 7737669865 🔥 Real Fun With Sexual Girl Av...
High Profile Call Girls Ahmedabad 🔥 7737669865 🔥 Real Fun With Sexual Girl Av...
dABGO KI CITy kUSHINAGAR Ak47
 
❣Independent Call Girls Chennai 💯Call Us 🔝 7737669865 🔝💃Independent Chennai E...
❣Independent Call Girls Chennai 💯Call Us 🔝 7737669865 🔝💃Independent Chennai E...❣Independent Call Girls Chennai 💯Call Us 🔝 7737669865 🔝💃Independent Chennai E...
❣Independent Call Girls Chennai 💯Call Us 🔝 7737669865 🔝💃Independent Chennai E...
nainakaoornoida
 
Call Girls Madurai 8824825030 Escort In Madurai service 24X7
Call Girls Madurai 8824825030 Escort In Madurai service 24X7Call Girls Madurai 8824825030 Escort In Madurai service 24X7
Call Girls Madurai 8824825030 Escort In Madurai service 24X7
Poonam Singh
 
❣Unsatisfied Bhabhi Call Girls Surat 💯Call Us 🔝 7014168258 🔝💃Independent Sura...
❣Unsatisfied Bhabhi Call Girls Surat 💯Call Us 🔝 7014168258 🔝💃Independent Sura...❣Unsatisfied Bhabhi Call Girls Surat 💯Call Us 🔝 7014168258 🔝💃Independent Sura...
❣Unsatisfied Bhabhi Call Girls Surat 💯Call Us 🔝 7014168258 🔝💃Independent Sura...
hotchicksescort
 
Literature review for prompt engineering of ChatGPT.pptx
Literature review for prompt engineering of ChatGPT.pptxLiterature review for prompt engineering of ChatGPT.pptx
Literature review for prompt engineering of ChatGPT.pptx
LokerXu2
 
Call Girls Nagpur 8824825030 Escort In Nagpur service 24X7
Call Girls Nagpur 8824825030 Escort In Nagpur service 24X7Call Girls Nagpur 8824825030 Escort In Nagpur service 24X7
Call Girls Nagpur 8824825030 Escort In Nagpur service 24X7
sexytaniya455
 
INTRODUCTION TO ARTIFICIAL INTELLIGENCE BASIC
INTRODUCTION TO ARTIFICIAL INTELLIGENCE BASICINTRODUCTION TO ARTIFICIAL INTELLIGENCE BASIC
INTRODUCTION TO ARTIFICIAL INTELLIGENCE BASIC
GOKULKANNANMMECLECTC
 
Mahipalpur Call Girls Delhi 🔥 9711199012 ❄- Pick Your Dream Call Girls with 1...
Mahipalpur Call Girls Delhi 🔥 9711199012 ❄- Pick Your Dream Call Girls with 1...Mahipalpur Call Girls Delhi 🔥 9711199012 ❄- Pick Your Dream Call Girls with 1...
Mahipalpur Call Girls Delhi 🔥 9711199012 ❄- Pick Your Dream Call Girls with 1...
simrangupta87541
 
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls ChennaiCall Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
paraasingh12 #V08
 
Data Communication and Computer Networks Management System Project Report.pdf
Data Communication and Computer Networks Management System Project Report.pdfData Communication and Computer Networks Management System Project Report.pdf
Data Communication and Computer Networks Management System Project Report.pdf
Kamal Acharya
 
College Call Girls Kolkata 🔥 7014168258 🔥 Real Fun With Sexual Girl Available...
College Call Girls Kolkata 🔥 7014168258 🔥 Real Fun With Sexual Girl Available...College Call Girls Kolkata 🔥 7014168258 🔥 Real Fun With Sexual Girl Available...
College Call Girls Kolkata 🔥 7014168258 🔥 Real Fun With Sexual Girl Available...
Ak47
 

Recently uploaded (20)

一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
一比一原版(psu学位证书)美国匹兹堡州立大学毕业证如何办理
 
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
Particle Swarm Optimization–Long Short-Term Memory based Channel Estimation w...
 
Butterfly Valves Manufacturer (LBF Series).pdf
Butterfly Valves Manufacturer (LBF Series).pdfButterfly Valves Manufacturer (LBF Series).pdf
Butterfly Valves Manufacturer (LBF Series).pdf
 
Basic principle and types Static Relays ppt
Basic principle and  types  Static Relays pptBasic principle and  types  Static Relays ppt
Basic principle and types Static Relays ppt
 
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdfAsymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
Asymmetrical Repulsion Magnet Motor Ratio 6-7.pdf
 
Call Girls In Lucknow 🔥 +91-7014168258🔥High Profile Call Girl Lucknow
Call Girls In Lucknow 🔥 +91-7014168258🔥High Profile Call Girl LucknowCall Girls In Lucknow 🔥 +91-7014168258🔥High Profile Call Girl Lucknow
Call Girls In Lucknow 🔥 +91-7014168258🔥High Profile Call Girl Lucknow
 
Intuit CRAFT demonstration presentation for sde
Intuit CRAFT demonstration presentation for sdeIntuit CRAFT demonstration presentation for sde
Intuit CRAFT demonstration presentation for sde
 
Sri Guru Hargobind Ji - Bandi Chor Guru.pdf
Sri Guru Hargobind Ji - Bandi Chor Guru.pdfSri Guru Hargobind Ji - Bandi Chor Guru.pdf
Sri Guru Hargobind Ji - Bandi Chor Guru.pdf
 
🔥 Hyderabad Call Girls  👉 9352988975 👫 High Profile Call Girls Whatsapp Numbe...
🔥 Hyderabad Call Girls  👉 9352988975 👫 High Profile Call Girls Whatsapp Numbe...🔥 Hyderabad Call Girls  👉 9352988975 👫 High Profile Call Girls Whatsapp Numbe...
🔥 Hyderabad Call Girls  👉 9352988975 👫 High Profile Call Girls Whatsapp Numbe...
 
High Profile Call Girls Ahmedabad 🔥 7737669865 🔥 Real Fun With Sexual Girl Av...
High Profile Call Girls Ahmedabad 🔥 7737669865 🔥 Real Fun With Sexual Girl Av...High Profile Call Girls Ahmedabad 🔥 7737669865 🔥 Real Fun With Sexual Girl Av...
High Profile Call Girls Ahmedabad 🔥 7737669865 🔥 Real Fun With Sexual Girl Av...
 
❣Independent Call Girls Chennai 💯Call Us 🔝 7737669865 🔝💃Independent Chennai E...
❣Independent Call Girls Chennai 💯Call Us 🔝 7737669865 🔝💃Independent Chennai E...❣Independent Call Girls Chennai 💯Call Us 🔝 7737669865 🔝💃Independent Chennai E...
❣Independent Call Girls Chennai 💯Call Us 🔝 7737669865 🔝💃Independent Chennai E...
 
Call Girls Madurai 8824825030 Escort In Madurai service 24X7
Call Girls Madurai 8824825030 Escort In Madurai service 24X7Call Girls Madurai 8824825030 Escort In Madurai service 24X7
Call Girls Madurai 8824825030 Escort In Madurai service 24X7
 
❣Unsatisfied Bhabhi Call Girls Surat 💯Call Us 🔝 7014168258 🔝💃Independent Sura...
❣Unsatisfied Bhabhi Call Girls Surat 💯Call Us 🔝 7014168258 🔝💃Independent Sura...❣Unsatisfied Bhabhi Call Girls Surat 💯Call Us 🔝 7014168258 🔝💃Independent Sura...
❣Unsatisfied Bhabhi Call Girls Surat 💯Call Us 🔝 7014168258 🔝💃Independent Sura...
 
Literature review for prompt engineering of ChatGPT.pptx
Literature review for prompt engineering of ChatGPT.pptxLiterature review for prompt engineering of ChatGPT.pptx
Literature review for prompt engineering of ChatGPT.pptx
 
Call Girls Nagpur 8824825030 Escort In Nagpur service 24X7
Call Girls Nagpur 8824825030 Escort In Nagpur service 24X7Call Girls Nagpur 8824825030 Escort In Nagpur service 24X7
Call Girls Nagpur 8824825030 Escort In Nagpur service 24X7
 
INTRODUCTION TO ARTIFICIAL INTELLIGENCE BASIC
INTRODUCTION TO ARTIFICIAL INTELLIGENCE BASICINTRODUCTION TO ARTIFICIAL INTELLIGENCE BASIC
INTRODUCTION TO ARTIFICIAL INTELLIGENCE BASIC
 
Mahipalpur Call Girls Delhi 🔥 9711199012 ❄- Pick Your Dream Call Girls with 1...
Mahipalpur Call Girls Delhi 🔥 9711199012 ❄- Pick Your Dream Call Girls with 1...Mahipalpur Call Girls Delhi 🔥 9711199012 ❄- Pick Your Dream Call Girls with 1...
Mahipalpur Call Girls Delhi 🔥 9711199012 ❄- Pick Your Dream Call Girls with 1...
 
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls ChennaiCall Girls Chennai +91-8824825030 Vip Call Girls Chennai
Call Girls Chennai +91-8824825030 Vip Call Girls Chennai
 
Data Communication and Computer Networks Management System Project Report.pdf
Data Communication and Computer Networks Management System Project Report.pdfData Communication and Computer Networks Management System Project Report.pdf
Data Communication and Computer Networks Management System Project Report.pdf
 
College Call Girls Kolkata 🔥 7014168258 🔥 Real Fun With Sexual Girl Available...
College Call Girls Kolkata 🔥 7014168258 🔥 Real Fun With Sexual Girl Available...College Call Girls Kolkata 🔥 7014168258 🔥 Real Fun With Sexual Girl Available...
College Call Girls Kolkata 🔥 7014168258 🔥 Real Fun With Sexual Girl Available...
 

Mc culloch pitts neuron

  • 1. McCulloch-Pitts Neuron Dr. Pravat Kumar Rout Department of EEE, ITER, SOA University
  • 3.
  • 4. Warren S. McCulloch The McCulloch-Pitts Neuron was the earliest neural network discovered in 1943. The weights associated with communication links may be excitatory (weights are positive) or inhibitory (weights are negative) A threshold activation function plays a major role in the M-P neuron. If the net input is greater than the sum of the input signals, the neuron fires. Mostly used in the logic functions. The activation of M-P neuron is always binary in nature. It consists of a number of input units connected to a single output unit.
  • 5. Salient features of McCulloch-Pitts artificial neuron
  • 7.
  • 8. Q1. For the network shown in Figure 1, calculate the weights are net input to the output neuron. Solution: The given neural net consists of three input neurons and one output neuron. The inputs and weights are [𝑥1, 𝑥2, 𝑥3] = [0.3,0.5,0.6] 𝑤1, 𝑤2, 𝑤3 = [0.2,0.1, −0.3] The net input can be calculated as 𝑦𝑖𝑛 = 𝑥1𝑤1 + 𝑥2𝑤2 + 𝑥3𝑤3 = 0.3 × 0.2 + 0.5 × 0.1 + 0.6 × −0.3 = 0.06 + 0.05 − 0.18 = −0.07 Example-1
  • 9. Q2. Calculate the net input for the network shown in Figure 2 with bias included in the network. Solution: The given net consists of two input neurons a bias and an output neuron. The inputs are x1, x2 = 0.2,0.6 and the weights are [w1, w2]=[0.3,0.7]. Since the bias is included b=0.45 and bias input x0is equal to 1. The net input is calculated as yin= b + x1w1 + x2w2 = 0.45 + 0.2 × 0.3 + 0.6 × 0.7 = 0.45 + 0.06 + 0.42 = 0.93 Therefore, yin = 0.93is the net input. Example-2
  • 10. Q3. Obtain the output of the neuron Y for the network shown in Figure 3 using activation function as: (1)binary sigmoidal and (ii) bipolar sigmoidal. Solution: The given network has three neurons with bias and output neuron. These form a single layer network. The inputs ere given as x1, x2, x3 = 0.8,0.6,0.4 and the weights are [w1, w2, w3]=[0.1,0.3,-0.2] with bias b=0.35 (its input is always 1). The net input to the output neuron is 𝑦𝑖𝑛 = 𝑏 + ෍ 𝑖=1 𝑛 𝑥𝑖𝑤𝑖 [n=3, because only 3 input neurons are given] = b + x1 w1 + x2w2 + x3w3 = 0.35 + 0.8 × 0.1 + 0.6 × 0.3 + 0.4 × −0.2 = 0.35 + 0.08 + 0.18 − 0.08 = 0.53 (i)For binary sigmoidal activation function, 𝑦 = 𝑓 𝑦𝑖𝑛 = 1 1+𝑒−𝑦𝑖𝑛 = 1 1+𝑒−0.53 = 0.625 (ii) For bipolar sigmoidal activation function, 𝑦 = 𝑓 𝑦𝑖𝑛 = 2 1+𝑒−𝑦𝑖𝑛 − 1 = 2 1+𝑒−0.53 − 1 = 0.259 Example-3
  • 11. Example-4: M-P Neuron to implementation the logical AND operation
  • 12. Example-5: M-P Neuron to implementation the logical OR operation
  • 13. Example-6: M-P Neuron to implementation the logical AND-NOT operation
  • 14. Example-7: M-P Neuron to implementation the logical XOR operation
  • 15. Assignment Write down a suitable MATLAB program for implementing logic functions using M-P neuron?
  翻译: