Annals of Communications in Mathematics

AbstractIn this paper, the applicability of soft set theory to subalgebras of CI-algebras is investigated. CI-algebras are utilized in algebraic logic and computer science. Soft set theory is a framework for dealing with ambiguous or imprecise information. We employ soft sets to investigate the intersection and union of subalgebras, among other properties of subalgebras of CI-algebras. We demonstrate that soft set theory is a valuable tool for analyzing subalgebras of CI-algebras and developing new results in this domain. This paper contributes to the comprehension of soft set theory and its applications in CI algebras with the findings presented herein.

AbstractIn this paper, an extension of the fermatean uncertainty soft subgroup structures under a norm. Also, the cubic fermatean uncertainty soft ideal structures and fermatean uncertainty multigroup over multi-homomorphism are discussed in detail.

AbstractIn this paper, the notions of hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals of BCI-algebras and hesitant anti-intuitionistic fuzzy soft subcommutative ideals of BCK-algebras are introduced and their related properties are investigate. Relations between a hesitant anti-intuitionistic fuzzy soft ideals and hesitant anti-intuitionistic fuzzy soft BCI-commutative ideals are discussed. Conditions for a hesitant anti-intuitionistic fuzzy soft ideal to be a hesitant anti-intuitionistic fuzzy soft BCIcommutative ideal are provided. Finally, it is proved that a hesitant anti-intuitionistic fuzzy soft p-ideal is a hesitant anti-intuitionistic fuzzy soft sub-commutative ideal in a BCKalgebra.

AbstractIn this paper, the concept of the direct product of a group is studied from the classical settings. We then propose the notion of the direct product of a soft multigroup and investigate some of its structural properties. Finally, the concept of upper and lower cuts of soft multigroup is introduced, exemplified and some related results are established.

AbstractThe theory of soft multigroup is an extension of soft group theory. The study of soft multigroups drawn from soft group and soft multisets is an awakening research domain in non classical group. This paper establishes and investigates some properties of normalizer of a soft group in the framework of soft multigroup. Also, the notion of cyclic soft multigroup is proposed and some of its properties are examined.

AbstractSoft graph theory offers a parametrized perspective on graphs by classifying the universe’s components according to a specified set of parameters. This paper explores soft graph theory, which classifies graph components based on a set of parameters, focusing on the wheel and friendship graph families. By analyzing soft graphs with distance-based parameter sets, the study provides key results on the isomorphic subgraphs formed within these structures. These findings offer important insights into the structure and behavior of soft graphs, enhancing our understanding of soft graph theory.