Introduction to Soft Set Theory and its Applications

Abstract

The soft set theory offers a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. The main objectives to introduce the basic notions of the theory of soft sets, to present the first results of the theory, and to discuss some problems of the future. We present an application of soft set theory due to Molodtsov [5] in decision making problems that is based on the rough reduction of parameters to keep the optimal choice objects. We have also defined equality of two soft sets, subset and superset of a soft set, complement of a soft set, null soft set and absolute soft set with examples. We have also defined binary operations like AND, OR, union and intersection of soft sets. De Morgan's laws is verified in a soft set theory.