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Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers
Author(s) -
S. Elizabeth,
L. Sujatha
Publication year - 2012
Publication title -
advances in fuzzy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.38
H-Index - 19
eISSN - 1687-711X
pISSN - 1687-7101
DOI - 10.1155/2012/646248
Subject(s) - shortest path problem , path (computing) , combinatorics , fuzzy logic , fuzzy number , mathematics , range (aeronautics) , interval (graph theory) , computer science , algorithm , fuzzy set , artificial intelligence , graph , materials science , composite material , programming language
In problems of graphs involving uncertainties, the fuzzy shortest path problem is one of the most studied topics, since it has a wide range of applications in different areas and therefore deserves special attention. In this paper, algorithms are proposed for the fuzzy shortest pathproblem, where the arc length of the network takes imprecise numbers, instead of real numbers, namely, level -triangular LR fuzzy numbers. Few indices defined in this paper help to identify the shortest path in fuzzy environment

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