The conception of the bipolar complex fuzzy set (BCFS) is one fundamental and significant modifications (FS) to tackle tricky awkward information. BCFS has a rich wider structure been utilized in various fields. In this article, we introduce concept (BCF) subalgebras (BCFSAs), BCF ideals (BCFIs) BCK/BCI-algebra along with certain properties. Further, investigate relations between BCFSA BCFI nec...

In this paper, we apply the concept of linear Diophantine fuzzy sets in BCK/BCI-algebras. respect, notions subalgebras and (commutative) ideals are introduced some vital properties discussed. Additionally, characterizations considered. Moreover, associated results for subalgebras, commutative obtained.

In this paper we study particular classes of pseudo-BCK algebras, bounded or not bounded, as pseudo-BCK(pP) algebras, pseudo-BCK(pP) lattices, pseudo-Hájek(pP) algebras and pseudo-Wajsberg algebras. We introduce new classes of pseudo-BCK(pP) lattices, we establish hierarchies and we give some examples. We work with left-defined algebras and we work with → and ; as primitive operations, not with...

In this paper, we introduce a new class algebras related to BCK-algebras and semigroups, called a KS-semigroup and define an ideal of a KS-semigroups and a strong KS-semigroup, and characterizations of ideals is given. Also we define a congruence relation on a KS-semigroups and a quotient KS-semigroups and prove the isomorphism. Mathematics Subject Classification: 06F35, 03G25