Doubt Fuzzy Ideals of B-Algebras

Abstract

In this paper, we introduce the notion of doubt fuzzy ideals of B-algebras and show that the arbitrary union of any doubt fuzzy ideals of a B-algebra is a doubt fuzzy ideal.

Pythagorean fuzzy KU-subalgebras of KU-algebras

“…In a KU-algebra (X, * , 0), it obtains that x * x = 0, for all x ∈ X (see, [24]). Throughout this paper, we shall use a KU-algebra X instead of the KU-algebra (X, * , 0).…”

“…Example 2.5. Let X = {0, a, b, c} be a set with the multiplication * on X is defined by the following table: * 0 a b c 0 0 a b c a 0 0 0 b b 0 b 0 a c 0 0 0 0 It turns out that (X, * , 0) is a KU-algebra (see, [24]). We see that the set A = {0, a, b} is a KU-subalgebra of X.…”

“…In 2009, Prabpayak and Leerawat [24] introduced a new algebra which was called KU-algebras and studied congruences on KU-algebras. Subsequently, they discussed relationships between quotient KUalgebras and isomorphisms of KU-algebras see also [25].…”

Weakly irreducible UP-filters of meet-commutative UP-algebras

“…The concept of KU-algebras was introduced in 2009 by C. Prabpayak and U. Leerawat in the article [9]. In 2017, A Iampan u [3] introduced the concept of UP-algebras as a generalization of KU-algebras.…”

Some operations of fuzzy sets in UP-algebras with respect to a triangular norm

“…The branch of the logical algebra, a UP-algebra was introduced by Iampan [4] in 2017, and it is known that the class of KU-algebras [10] is a proper subclass of the class of UP-algebras. It have been examined by several researchers, for example, Somjanta et al [16] introduced the notion of fuzzy sets in UP-algebras, the notion of intuitionistic fuzzy sets in UP-algebras was introduced by Kesorn et al [7], Kaijae et al [6] introduced the notions of anti-fuzzy UP-ideals and anti-fuzzy UP-subalgebras of UP-algebras, the notion of Q-fuzzy sets in UP-algebras was introduced by Tanamoon et al [19], Sripaeng et al [18] introduced the notion anti-Q-fuzzy UP-ideals and anti Q-fuzzy UP-subalgebras of UP-algebras, the notion of N -fuzzy sets in UP-algebras was introduced by Songsaeng and Iampan [17], Senapati et al [14,15] applied cubic set and interval-valued intuitionistic fuzzy structure in UP-algebras, Romano [11] introduced the notion of proper UP-filters in UP-algebras, etc.…”