Fuzzy (Soft) Quasi-Interior Ideals of Semirings
Subject Areas : Transactions on Fuzzy Sets and Systems
Arsham Borumand Saeid
1
,
Marapureddy Murali Krishna Rao
2
,
Rajendra Kumar Kona
3
,
Noorbhasha Rafi
4
1 - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
2 - Department of Mathematics, Sankethika Institute of Tech. and Management, Visakhapatnam-530 041, A.P., India.
3 - Department of Mathematics, GIS, GITAM (Deemed to be University), Visakhapatnam-530 045, A.P., India.
4 - Department of Mathematics, Bapatla Engineering College, Bapatla, A. P., India-522 101.
Keywords: Semiring, Regular semiring, Quasi-interior ideal, Fuzzy quasi-interior ideal, Fuzzy soft quasi-interior ideal,
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.
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