Redefined fuzzy B-algebras

Abstract

By two relations belonging to (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets, we define the concept of (α, β)-fuzzy subalgebras where α, β are any two of {∈, q, ∈ ∨q, ∈ ∧q} with α =∈ ∧q. We state and prove some theorems in (α, β)-fuzzy B-algebras.

Solvability of B-algebras

“…This algebra was introduced and established by . From then on, several properties and characterizations as well as several notions relating to B-algebras were established, including the basic properties of B-algebras [2,3,7,9,11,13,29,30], homomorphisms of B-algebras [14,22,28], B p -subalgebras [8,10,12], cyclic B-algebras [15,16], and fuzzy B-algebras [1,4,5,6,17,18,20,23,24,25,26,27]. In this paper, we introduce and characterize solvable B-algebras.…”