Applications of soft union sets to hemirings via SU-h-ideals

Jianming Zhan · Naim Çağman · Aslıhan Sezgin

30 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Fuzzy and Soft Set Theory Rings, Modules, and Algebras Rough Sets and Fuzzy Logic

Abstract

The aim of this article is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of soft union hemirings (soft union h-ideals) of hemirings by soft intersection-union product and obtain some related results. Finally, we investigate some characterizations of h-hemiregular hemirings by soft union h-ideals.

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1999Soft set theory—First results 2003Soft set theory 2002An application of soft sets in a decision making problem 2009On some new operations in soft set theory 2007Soft sets and soft groups 2009Soft sets combined with fuzzy sets and rough sets: a tentative approach 2010Soft set theory and uni–int decision making 2008Soft semirings

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