Transitive Closure of Vague Soft Set Relations and its Operators

A vague soft set is a mapping from a parameter set to the collection of vague subsets of the universal set. In this study, a vague soft relation is presented based on the Cartesian product of vague soft sets. The basic properties of these relations are studied to explain the concept of transitive cl...

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Published inINTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol. 22; no. 1; pp. 59 - 68
Main Authors Yousef, Al-Qudah, Alhazaymeh, Khaleed, Hassan, Nasruddin, Qoqazeh, Hamza, Almousa, Mohammad, Alaroud, Mohammad
Format Journal Article
LanguageEnglish
Published 한국지능시스템학회 31.03.2022
Subjects
전기공학
Symmetric closure
Transitive closure
Vague soft set
Fuzzy set
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Summary:A vague soft set is a mapping from a parameter set to the collection of vague subsets of the universal set. In this study, a vague soft relation is presented based on the Cartesian product of vague soft sets. The basic properties of these relations are studied to explain the concept of transitive closure of a vague soft relation. The symmetric, reflexive, and transitive closures of a vague soft set are introduced followed by examples to illustrate these relations. The concepts are further extended by proposing some of their properties. The existence and uniqueness of the transitive closure of a vague soft relation are established, and an algorithm to compute the transitive closure of a vague soft relation is also provided KCI Citation Count: 0
ISSN:1598-2645
2093-744X
DOI:10.5391/IJFIS.2022.22.1.59