Yeni Bir Esnek Küme İşlemi: Tümleyenli Esnek İkili Parçalı Fark (\) İşlemi

Year 2024, Volume: 7 Issue: 1, 58 - 94, 22.01.2024

Aslıhan Sezgin , Naim Cagman

https://doi.org/10.47495/okufbed.1308379

Cited By: 5

Abstract

Esnek küme teorisi, belirsizlikle başa çıkan bir teoridir. Başlangıcından bu yana, birçok türde esnek küme işlemi tanımlanmış ve çeşitli türlerde kullanılmıştır. Bu çalışmada, tümleyenli esnek ikili parçalı fark işlemi adı verilen yeni bir esnek küme işlemi tanımlanmış ve temel cebirsel özellikleri araştırılmıştır. Klasik teorideki fark işlemi ile esnek küme teorisindeki tümleyenli esnek ikili parçalı fark işlemi arasında birçok çarpıcı benzer özellikler elde edilmiştir. Ayrıca bu işlem ile diğer tüm esnek küme işlemleri arasındaki ilişkiler dağılma kurallar yardımıyla incelenerek, esnek küme literatürüne katkıda bulunma amaçlanmıştır.

Keywords

esnek küme, esnek küme işlemleri, şartlı tümleyen

Project Number

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A New Soft Set Operation: Complementary Soft Binary Piecewise Difference (\) Operation

Abstract

Soft set theory is a theory of dealing with uncertainty. Since its inception, many kinds of soft set operations are defined and used in various types. In this paper, a new kind of soft set operation called, complementary soft binary piecewise difference operation is defined and its basic properties are investigated. We obtain many striking analogous fact between difference operation in classical theory and complementary soft binary piecewise difference operation in soft set theory. Also, by obtaining the relationships between this new soft set operation and all other types of soft set operations, we aim to contribute to the soft set literature with the help of examing the distribution rules.

Keywords

soft set, soft set operations, conditional complements

Supporting Institution

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Project Number

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Thanks

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