Fuzzy Systems

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An Intuitionistic Fuzzy Shortest Path Problem Using Similarity Measure


Affiliations
1 Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli-620020, Tamilnadu, India
     

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This paper presents an intuitionistic fuzzy shortest length procedure is proposed for triangular and trapezoidal intuitionistic fuzzy number to find the shortest length in an intuitionistic fuzzy graph which is an intuitionistic fuzzy number, instead of a fuzzy number is assigned to each arc length. An existing algorithm is extended to find the shortest length and using similarity measure to find the shortest path. At last, some numerical examples are given to illustrate this method.

Keywords

Intuitionistic Fuzzy Set (IFS), Intuitionistic Fuzzy Graph (IFG), Intuitionistic Fuzzy Number (IFN), Similarity Measure.
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  • An Intuitionistic Fuzzy Shortest Path Problem Using Similarity Measure

Abstract Views: 166  |  PDF Views: 3

Authors

A. Nagoor Gani
Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli-620020, Tamilnadu, India
M. Mohammed Jabarulla
Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli-620020, Tamilnadu, India

Abstract


This paper presents an intuitionistic fuzzy shortest length procedure is proposed for triangular and trapezoidal intuitionistic fuzzy number to find the shortest length in an intuitionistic fuzzy graph which is an intuitionistic fuzzy number, instead of a fuzzy number is assigned to each arc length. An existing algorithm is extended to find the shortest length and using similarity measure to find the shortest path. At last, some numerical examples are given to illustrate this method.

Keywords


Intuitionistic Fuzzy Set (IFS), Intuitionistic Fuzzy Graph (IFG), Intuitionistic Fuzzy Number (IFN), Similarity Measure.