Multipolar fuzzy a-ideals in BCI-algebras

Interval-Valuedm-Polar Fuzzy Positive Implicative Ideals inBCK-Algebras

“…As an extension of fuzzy sets, Zadeh [1] defined fuzzy sets with an interval-valued membership function proposing the concept interval-valued fuzzy sets. is concept has been studied from various points of view in different algebraic structures as BCK-algebras and some of its generalization (see, for example, [2][3][4][5][6][7]), groups (see, for example, [8][9][10]), and rings (see, for example, [11][12][13]). Jun [14] studied interval-valued fuzzy ideals in BCI-algebras.…”

Shannon entropy on product BL-algebras

“…BL-algebras are other instances of the aforementioned algebras which are more widely used than M -algebras in logic. Many studies have been conducted on BL-algebras and related stracture [3,4,5,11,12,22]. It is well-known that BL-algebras provide an algebraic language for logic, and play a very decisive role in the development of this theory.…”

m-Polar Fuzzy B-ideal of B-algebra

“…A year after investigating m-polar (∈, ∈)-fuzzy p-ideals in BCI-algebra, Miuhuddin, et al [11] built a new structure, the m-polar (∈, ∈)-fuzzy q-ideals in BCI-algebra and its characteristics are examined. After that, the concept of normal m-polar (∈, ∈)-fuzzy a-ideal and its properties were established by Borzooei, et al [12].…”

“…In this paper, we combine the ideas of Yamini and Kailasavalli [8], Takallo et al [10], Muhiuddin et al [11], and Borzooei, et al [12] to obtain a new idea and structure, namely m-polar (∈, ∈)-fuzzy B-ideal of B-algebra. This research aims to extend the knowledge of m-polar fuzzy sets, which can be combined with other algebraic structures, besides BCI-algebra.…”