Application of Neuro-Fuzzy system to solve Traveling Salesman Problem

Application of Neuro-Fuzzy system to solve Traveling Salesman Problem

Article ID

88S49

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Application of Neuro-Fuzzy system to solve Traveling Salesman Problem

Dr. Nitin Jain

Suman Sangwan

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Abstract

This paper presents the application of adaptive neuro-fuzzy inference system (ANFIS) in solving the traveling salesman problem. Takagi-Sugeno-Kang neuro-fuzzy architecture model is used for this purpose. TSP, although, simple to describe & mathematically well characterized, is quite difficult to solve. TSP is called a NP-Hard problem, i.e. this problem is as hard as the hardest problem in NP-Complete space. Training of fuzzy system was performed by a hybrid Back-Propagation (BP) and Least-Mean-Square (LMS) algorithm and for optimizing the number of fuzzy rules, subtractive-clustering algorithm was utilized. Then the ANFIS was tested against a number of training data samples. More accurate and quick results were obtained by using ANFIS.

Application of Neuro-Fuzzy system to solve Traveling Salesman Problem

This paper presents the application of adaptive neuro-fuzzy inference system (ANFIS) in solving the traveling salesman problem. Takagi-Sugeno-Kang neuro-fuzzy architecture model is used for this purpose. TSP, although, simple to describe & mathematically well characterized, is quite difficult to solve. TSP is called a NP-Hard problem, i.e. this problem is as hard as the hardest problem in NP-Complete space. Training of fuzzy system was performed by a hybrid Back-Propagation (BP) and Least-Mean-Square (LMS) algorithm and for optimizing the number of fuzzy rules, subtractive-clustering algorithm was utilized. Then the ANFIS was tested against a number of training data samples. More accurate and quick results were obtained by using ANFIS.

Authors

Dr. Nitin Jain

Suman Sangwan

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How to Cite

Dr. Nitin Jain. 1970. “. Unknown Journal GJCST Volume 11 (GJCST Volume 11 Issue 14): .

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GJCST Volume 11 Issue 14
Pg. 7- 13

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Submission Received June 17, 2011
Accepted July 9, 2011
Published July 22, 2011

Keywords

ANFIS BP FIS LMS MF Subtractive Clustering

Article Matrices

Total Score: 107

Country: India

Subject: Uncategorized

Authors: Dr. Nitin Jain, Suman Sangwan (PhD/Dr. count: 1)

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Publish Date: 1970 01, Thu

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