A New Type of Extended Soft Set Operation: Complementary Extended Lambda Operation

Authors

  • Aslıhan SEZGİN Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Türkiye
  • Emre AKBULUT Department of Mathematics, Graduate School of Natural and Applied Sciences, Amasya University, Amasya, Türkiye
  • Hüseyin DEMİR Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Türkiye

Keywords:

Soft sets, Soft set operations, Lambda operation, Algebraic structures, Conditional complements

Abstract

Soft set theory was proposed by Molodtsov in 1999 to model some problems involving uncertainty and it has a wide range of theoretical and practical applications. Soft set operations constitute the vital building block of soft set theory. Since its introduction, several kinds of soft set operations have been proposed. In this study, in order to advance the soft theory, a new soft set operation known as the complementary extended lambda operation is described in this study, and all of its characteristics are thoroughly examined, and to obtain the relationship of the operation with other soft set operations, the distribution of this operation over other type soft set operations are examined.

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Published

2025-03-17

How to Cite

SEZGİN, A., AKBULUT, E., & DEMİR, H. (2025). A New Type of Extended Soft Set Operation: Complementary Extended Lambda Operation. Kadirli Uygulamalı Bilimler Fakültesi Dergisi, 5(1), 1–28. Retrieved from https://kadirliubfd.com/index.php/kubfd/article/view/137