A NEW SOFT SET OPERATION: COMPLEMENTARY SOFT BINARY PIECEWISE UNION (∪) OPERATION

Aslıhan Sezgin (), Fitnat Nur Aybek and Nurcan Bilgili Güngör
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Aslıhan Sezgin: Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Turkey
Fitnat Nur Aybek: Department of Mathematics, Graduate School of Natural and Applied Sciences, Amasya University, Amasya, Turkey
Nurcan Bilgili Güngör: Department of Mathematics, Faculty of Arts and Science, Amasya University, Amasya, Turkey

Acta Informatica Malaysia (AIM), 2023, vol. 7, issue 1, 38-53

Abstract: Molodtsov’s soft set theory has been used in various disciplines both theoretically and practically. It is an effective mathematical tool for dealing with uncertainty. Since its debut, numerous types of soft set operations have been presented and applied. In this study, we analyze the fundamental algebraic features of a novel soft set operation which we call complementary soft binary piecewise union operation. Additionally, by examining the distribution of complementary soft binary piecewise union operation over all other soft set operations’ type, it aims to contribute to the literature on soft sets by revealing relationships between this new soft set operation and other types of soft set operations. Moreover, we prove that the set of all the soft sets with a fixed parameter set together with the complementary soft binary piecewise union operation and the soft binary piecewise intersection operation is a zero-symmetric near-semiring.

Keywords: Soft Sets; Soft Set Operations; Conditional Complements; Near-semirings (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbnaim:v:7:y:2023:i:1:p:38-53

DOI: 10.26480/aim.01.2023.38.53

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