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Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers

Fuzzy shortest path problem based on level \(\lambda\)-triangular LR fuzzy numbers
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:WileyJournal:Advances in Fuzzy Systems, volume 2,012, pages 1-6 (issn: 1687-7101, eissn: 1687-711X, Copyright policy )
Authors: Sebastian Elizabeth; L. Sujatha;

doi: 10.1155/2012/646248

Fuzzy Shortest Path Problem Based on Level 𝜆-Triangular LR Fuzzy Numbers

Abstract

Summary: Among the 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 path problem, where the arc length of the network takes imprecise numbers, instead of real numbers, namely, level \(\lambda\)-triangular LR fuzzy numbers. Few indices defined in this paper help to identify the shortest path in fuzzy environment.

Keywords

QA76.75-76.765, Graph algorithms (graph-theoretic aspects), network, LR fuzzy number, Electrical engineering. Electronics. Nuclear engineering, Computer software, Fractional graph theory, fuzzy graph theory, TK1-9971, fuzzy shortest path problem, arc length

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold