Perfect Fuzzy Soft Tripartite Graphs and Their Complements

Fuzzy soft graphs are efficient numerical tools for simulating the uncertainty of the real world. A fuzzy soft graph is a perfect fusion of the fuzzy soft set and the graph model that is widely used in a variety of fields. This paper discusses a few unique notions of perfect fuzzy soft tripartite gr...

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Bibliographic Details
Published inDiscrete dynamics in nature and society Vol. 2022; no. 1
Main Authors Kalaiarasi, Kalaichelvan, Mahalakshmi, L., Kausar, Nasreen, Kousar, Sajida, Kattel, Parameshwari
Format Journal Article
LanguageEnglish
Published New York Hindawi 2022
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Fuzzy sets
Game theory
Graphs
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Summary:Fuzzy soft graphs are efficient numerical tools for simulating the uncertainty of the real world. A fuzzy soft graph is a perfect fusion of the fuzzy soft set and the graph model that is widely used in a variety of fields. This paper discusses a few unique notions of perfect fuzzy soft tripartite graphs (PFSTG), as well as the concepts of complement of perfect fuzzy soft tripartite graphs (CPFSTGs). Because soft sets are most useful in real-world applications, the newly developed concepts of perfect soft tripartite fuzzy graphs will lead to many theoretical applications by adding extra fuzziness in analysing. We look at some of their properties and come up with a few results that are related to these concepts. Furthermore, we investigated some fundamental theorems and illustrated an application of size of perfect fuzzy soft tripartite graphs in employee selection for an institution using the perfect fuzzy soft tripartite graph.
ISSN:1026-0226
1607-887X
DOI:10.1155/2022/1108887