Khaleed Alhazaymeh

Vague soft expert set theory

The concept of fuzzy soft expert set theory and its operations were reviewed. The concept of vague soft expert set theory is introduced. Its operations such as equal, subset, complement, union and intersection are defined. Illustrative examples of vague soft expert set are then given.

Interval-valued vague soft sets and its application

Molodtsov has introduced the concept of soft sets and the application of soft sets in decision making and medical diagnosis problems. The basic properties of vague soft sets are presented. In this paper, we introduce the concept of interval-valued vague soft sets which are an extension of the soft set and its operations such as equality, subset, intersection, union, AND operation, OR operation, complement, and null while further studying some properties. We give examples for these concepts, and we give a number of applications on interval-valued vague soft sets.

Vague soft set relations and functions

Molodtsov introduced the theory of soft sets as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects. In this paper the concepts of vague soft set relations are introduced as a sub-vague soft set of the Cartesian product of the vague soft sets and related concepts such as equivalent vague soft set relation, partition, composition and function along with some properties and illustrative examples.

Generalized vague soft expert set theory

The concept of generalized vague soft expert set and its operations are studied. Also, the multi-opinion of generalized vague soft expert set in a decision making problem with uncertainty is introduced. The basic operations of generalized vague soft expert set theory, namely, complement, subset, union, intersection, “AND” and “OR” operations are defined.