The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.

The purpose of this research is to interpolate bipolarity into the definition vague soft set. This gives a new more applicable, flexible, and generalized extension set, fuzzy or even which bipolar In addition, types sets, as well some related concepts operations are established with examples. Moreover, properties sets including absorption, commutative, associative, distributive, De Morgan’s law...

We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. The properties and structural characteristics of these concepts are also studied and discussed. Furthermore, the relationship between the concepts introduced here and the corresponding concepts in classical hyperring theor...

In this paper, we recall the concept of vague soft expert set theory and its operations. We define the AND and OR operations of vague soft expert set and some properties. We prove the De Morgan’s law on vague soft expert set. We then provide an illustrative example of vague soft expert set and its application in decision making.