Title of article :
Fuzzy (Soft) Quasi-Interior Ideals of Semirings
Author/Authors :
Saeid ، Arsham Borumand Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman , Rao ، Marapureddy Murali Krishna Department of Mathematics - Sankethika Institute of Technology and Management , Kona ، Rajendra Kumar Department of Mathematics - GITAM (Deemed to be University) , Rafi ، Noorbhasha Department of Mathematics - Bapatla Engineering College
Abstract :
In this paper, as a further generalization of fuzzy ideals, we introduce the notion of a fuzzy (soft) quasi-interior ideals of semirings and characterize regular semiring in terms of fuzzy (soft) quasi-interior ideals of semirings. We prove that (µ, A) is a fuzzy soft left quasi-interior ideal over a regular semiring M, if and only if (µ, A) is a fuzzy soft quasi-ideal over a semiring M, and study some of the properties.
Keywords :
Semiring , Regular semiring , Quasi , interior ideal , Fuzzy quasi , interior ideal , Fuzzy soft quasi , interior ideal.
Journal title :
Transactions on Fuzzy Sets and Systems
Journal title :
Transactions on Fuzzy Sets and Systems
