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Fuzzy shortest path in an interval-valued fuzzy hypergraph using similarity measures

Department of Mathematics, Khanpur Gangche High School, Paschim Medinipur, 721201, India

Department of Applied Mathematics With Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

* Corresponding Author
Annals of Communications in Mathematics 2018
, 1 (1),
48-64.
https://doi.org/10.62072/acm.2018.010105
Received: |
Accepted: |
Published:

Abstract

In this paper, a new approach is introduced to find the shortest path between two given vertices on interval-valued fuzzy hypergraphs. When only crisp numbers are not sufficient to measure a real world parameter, fuzzy numbers are considered. But, there are many types of fuzzy numbers available in literature. Most useful fuzzy number is trapezoidal fuzzy numbers. Throughout this paper the interval-valued trapezoidal fuzzy number is used as the arc length of the interval-valued fuzzy hypergraph. We have measured similarity between two interval-valued fuzzy numbers to find the shortest path. An algorithm is also designed to find all possible hyperpaths in a hypergraph and calculated its time complexity

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Cite This Article

Fuzzy shortest path in an interval-valued fuzzy hypergraph using similarity measures.

Annals of Communications in Mathematics,

,
1 (1):
48-64.
https://doi.org/10.62072/acm.2018.010105
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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