A NEW SOFT SET OPERATION: COMPLEMENTARY SOFT BINARY PIECEWISE PLUS (+) OPERATION

Aslıhan Sezgä°n () and Akın Osman ATAGÃœN
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Aslıhan Sezgä°n: Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Turkey
Akın Osman ATAGÜN: Department of Mathematics, Faculty of Arts and Science, Kırşehir Ahi Evran University, Kırşehir, Turkey

Matrix Science Mathematic (MSMK), 2023, vol. 7, issue 2, 125-142

Abstract: Soft set theory, introduced by Molodtsov, is as an important mathematical tool to deal with uncertainty and it has been applied to many fields both as theoretical and application aspects. Since 1999, different kinds of soft set operations has been defined and used in various types. In this paper, we define a new kind of soft set operation called, complementary soft binary piecewise plus operation and investigate its basic algebraic properties. Moreover, by examining the distribution rules, we contribute to the soft set literature by obtaining the relationships between this new soft set operation and some other types of soft set operations such as soft restrcited, extended, soft binary piecewise, and complementary soft binary piecewise operations. As proposing new soft set operations and obtaining their algebraic properties and implementations opens up new avenues for handling parametric data challenges in terms of decision-making methods and new cryptography approaches, and analyzing the algebraic structure of soft sets from the standpoint of new soft set operations offers a thorough understanding of the algebraic structure of soft sets, this paper can be regarded as both theoretical and application study.

Keywords: Soft sets; Soft Set Operations; Conditional Complements (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:7:y:2023:i:2:p:125-142

DOI: 10.26480/msmk.02.2023.125.142

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