Fuzzy (Soft) Quasi-Interior Ideals of Semirings

Transactions on Fuzzy Sets and Systems

مقاله 12، دوره 1، شماره 2، بهمن 2022، صفحه 129-141   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/tfss.2022.1956811.1023

نویسندگان

Arsham Borumand Saeid^{* 1}؛ Marapureddy Murali Krishna Rao²؛ Rajendra Kumar Kona³؛ Noorbhasha Rafi⁴

¹Department of Pure Mathematics‎, Faculty of Mathematics and Computer‎, Shahid Bahonar University of Kerman‎, Kerman‎, ‎Iran‎.

²Department of Mathematics‎, Sankethika Institute of Tech‎. ‎and Management‎, Visakhapatnam-530 041‎, ‎A.P.‎, ‎India‎.

³Department of Mathematics‎, GIS‎, ‎GITAM (Deemed to be University)‎, Visakhapatnam-530 045‎, ‎A.P.‎, ‎India‎.

⁴Department of Mathematics‎, Bapatla Engineering College‎, Bapatla‎, ‎A‎. ‎P.‎, ‎India-522 101‎.

چکیده

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 $(\mu‎, ‎A)$ is a fuzzy soft left quasi-interior ideal‎ ‎over a regular semiring $M,$ if and only if $(\mu‎, ‎A)$ is a fuzzy soft quasi-ideal over a semiring $M,$‎ ‎and study some of the properties‎.

کلیدواژه‌ها

Semiring؛ Regular semiring؛ Quasi-interior ideal؛ Fuzzy quasi-interior ideal؛ Fuzzy soft quasi-interior ideal

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