Vineela B
Author Information
Full Name: Vineela B

Fuzzy Bi-Quasi-Interior Ideals of Semirings
Ganesh Kumar Reddi, M. Murali Krishna Rao, Rajendra Kumar Kona*, Vineela B
Annals of Communications in Mathematics 2025
8 (3)
410-424
DOI: https://doi.org/10.62072/acm.2025.080308
ABSTRACT.In this paper, we introduce the notion of a fuzzy bi-quasi interior ideal as a generalization of fuzzy ideals, fuzzy bi-quasi ideals, fuzzy quasi-interior ideals and fuzzy bi-interior ideals of a semiring. We prove that every fuzzy right quasi-interior ideal of a semiring is a fuzzy bi-quasi interior ideal and a fuzzy bi-quasi interior ideal is a fuzzy right tri-ideal of a semiring. We characterize the regular semiring in terms of fuzzy bi-quasi interior ideals and study some of the properties.