Bipolar Hypersoft Sets

Sagvan Y. Musa and Baravan A. Asaad
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Sagvan Y. Musa: Department of Mathematics, Faculty of Education, University of Zakho, Zakho 42002, Iraq
Baravan A. Asaad: Department of Computer Science, College of Science, Cihan University-Duhok, Duhok 42001, Iraq

Mathematics, 2021, vol. 9, issue 15, 1-15

Abstract: Hypersoft set theory is an extension of soft set theory and is a new mathematical tool for dealing with fuzzy problems; however, it still suffers from the parametric tools’ inadequacies. In order to boost decision-making accuracy even more, a new mixed mathematical model called the bipolar hypersoft set is created by merging hypersoft sets and bipolarity. It is characterized by two hypersoft sets, one of which provides positive information and the other provides negative information. Moreover, some fundamental properties relative to it such as subset, superset, equal set, complement, difference, relative (absolute) null set and relative (absolute) whole set are defined. Furthermore, some set-theoretic operations such as the extended intersection, the restricted union, intersection, union, AND-operation and OR-operation of two bipolar hypersoft sets with their properties are discussed and supported by examples. Finally, tabular representations for the purposes of storing bipolar hypersoft sets in computer memory are used.

Keywords: bipolar hypersoft sets; hypersoft sets; bipolar soft sets; restricted union; extended intersection; difference; AND-operation; OR-operation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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