A New Type of Extended Soft Set Operations: Complementary Extended Difference Operation

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Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi
Volume:8 Issue:2
A New Type of Extended Soft Set Operations: Complementary Extended Difference Operation

A New Type of Extended Soft Set Operations: Complementary Extended Difference Operation

Authors : Aslıhan Sezgin, Emre Akbulut, Hüseyin Demir

Pages : 90-114

Doi:10.47137/usufedbid.1473425

View : 66 | Download : 59

Publication Date : 2024-12-30

Article Type : Research Paper

Abstract :Soft set theory has many theoretical and practical applications. It was first introduced by Molodtsov in 1999 as a way to represent specific situations including uncertainty. The fundamental building blocks of soft set theory are soft set operations. Since its debut, several types of soft set operations have been defined and utilized in diverse contexts. In order to further the theory, a new soft set operation known as the complementary extended difference operation is defined in this paper. Its properties are thoroughly discussed, with particular attention to how it differs from the difference operation in classical sets. Additionally, the distribution of this operation over other types of soft set operations is examined in order to determine how this operation relates to other soft set operations.
Keywords : Esnek küme, Koşullu tümleyenler, Tümleyenli genişletilmiş işlemler

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