Manuscript Topics

BCK/BCI-algebras are algebraic structures that describe fragments of the propositional calculus involving implication known as BCK/BCI-logics.

As generalizations of BCK/BCI-algebras, several algebras, e.g., BCH-algebra, BH-algebra, BZ-algebra, BCC-algebra, near-BCK-algebra, pre-BCK-algebra, have been developed.

The notion of a d-algebra was introduced by deleting two complicated axioms form BCK-algebras. In sequel many new algebraic structures have been appeared in the literature by choosing some axioms based on several axioms/conditions in BCK/BCI-algebras. B-, BE-, BF-, BG-, BI-, BM-, BO-, C-, CI-, Q-, QS-, RM-algebras were introduced/discussed by many researchers. This opened new windows on groupoid theory, and encouraged many researchers to study some connections between groupoid theory and BCK-algebras.

BCK/BCI-algebras and their related algebras contain both algebraic structures and ordered structures, and their axioms relate to several logics, and so we call this algebras as logical algebras or general algebraic structures.

The purpose of this special issue is to promote the exchange of ideas among researchers, and to spread out new trends in general algebraic structures and its applications to fuzzy theory.  It is focused on all aspects of general algebraic structures,  BCK-algebras and its related algebraic systems, e.g.,  MV-algebras,  BL>-algebras,  MTL-algebras,  EQ-algebras, lattice implication algebras, hoops algebras, etc., from their foundations to some applications to computer sciences, informatics, decision making problems.

This special issue of AIMS Mathematics will provide an opportunity to construct logical algebras (general algebraic structures), and will encourage researchers to publish their research results in this area.

We will consider any paper in this area for possible publication.  We will exclude papers on well-known algebras, e.g., groups, rings and modules, fields, semigroups, lattices and poset theory, etc.

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