Arsham Borumand Saeid - Department of Pure Mathematics‎, Faculty of Mathematics and Computer‎, Shahid Bahonar University of Kerman‎, Kerman‎, ‎Iran‎.
Marapureddy Murali Krishna Rao - Department of Mathematics‎, Sankethika Institute of Tech‎. ‎and Management‎, Visakhapatnam-۵۳۰ ۰۴۱‎, ‎A.P.‎, ‎India‎.
Rajendra Kumar Kona - Department of Mathematics‎, GIS‎, ‎GITAM (Deemed to be University)‎, Visakhapatnam-۵۳۰ ۰۴۵‎, ‎A.P.‎, ‎India‎.
Noorbhasha Rafi - Department of Mathematics‎, Bapatla Engineering College‎, Bapatla‎, ‎A‎. ‎P.‎, ‎India-۵۲۲ ۱۰۱‎.

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.

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