Fuzzy (Soft) Quasi-Interior Ideals of Semirings

Subject Areas : Transactions on Fuzzy Sets and Systems

Arsham Borumand Saeid ¹ (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran. )
Marapureddy Murali Krishna Rao ² (Department of Mathematics, Sankethika Institute of Tech. and Management, Visakhapatnam-530 041, A.P., India.)
Rajendra Kumar Kona ³ (Department of Mathematics, GIS, GITAM (Deemed to be University), Visakhapatnam-530 045, A.P., India.)
Noorbhasha Rafi ⁴ (Department of Mathematics, Bapatla Engineering College, Bapatla, A. P., India-522 101. )

Received: 2022-04-16 Accepted : 2022-08-07 Published : 2022-11-07

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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