On Interval Soft Sets with Applications

Interval set theory and soft set theory are mathematical tools for dealing with uncertainty information. As a combination of interval set and soft set, recently, we introduced the new notion of interval soft sets. In this paper we further research interval soft sets and its application. We investigate the tabular representation of interval soft sets, introduce the new concepts of interval choice values, and apply the theory of interval soft sets to solve a decision making problem by using two methods. We discuss some operations of interval soft sets, and construct some lattice structures. Moreover, we introduce the notion of soft equality in interval soft set theory, establish quotient algebra by soft equality relation, and discuss the application of soft equality relations in preconditioning of decision making