Belligerent Fuzzy GE‐Filters on GE‐Algebras

Abstract

In this paper, the concept of belligerent fuzzy GE-filter of GE-algebra is introduced. The relationship between a fuzzy GE-filter of GE-algebra and a belligerent fuzzy GE-filter of GE-algebra is given. Further, it is shown that a finite product (union) of belligerent fuzzy GE-filters of GE-algebras is a belligerent fuzzy GE-filter of the finite product (union) of GE-algebras.

Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL

“…In particular, Bo and Wangming [7] and Santhi Sundar Raj et al [8] have laid down the foundation for fuzzy ideals of a lattice and an ADL, respectively. In [9,10], Alemayehu et al introduced the concepts of belligerent fuzzy GE-flter of GE-algebras and beta-fuzzy flters of stone almost distributive lattices, respectively. Santhi Sundra Raj et al [8] introduced the concept of fuzzy prime ideals of almost distributive lattices.…”