N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA

Generalizations of N-Subalgebras in BCK/BCI-Algebras Based on Point N-Structures

The aim of this article is to obtain more general forms than the papers of Jun et al. 2010 ; Jun et al. in press . The notions of N-subalgebras of types ∈, qk , ∈,∈ ∨qk , and q,∈ ∨qk are introduced, and the concepts of qk-support and ∈ ∨qk-support are also introduced. Several related properties are investigated. Characterizations of N-subalgebra of type ∈,∈ ∨qk are discussed, and conditions for...

N-Subalgebras in BCK/BCI-Algebras Based on Point N-Structures

Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras

As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014). The aim of this paper is to apply hesitant fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of hesitant fuzzy soft subalgebras and (c...

On subalgebras of an evolution algebra of a "chicken" population

We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. For such algebras in terms of its structure constants we calculate right and plenary periods of generator elements. Some results on subalgebras of EACP and ideals on low-dimensional EACP are obtained.

REDEFINED FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS

Using the notion of anti fuzzy points and its besideness to and nonquasi-coincidence with a fuzzy set, new concepts in anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their properties and relationships are investigated.