Type-2 Fuzzy Soft Sets and Their Applications in Decision Making

Abstract EN

Molodtsov introduced the theory of soft sets, which can be used as a general mathematical tool for dealing with uncertainty.

This paper aims to introduce the concept of the type-2 fuzzy soft set by integrating the type-2 fuzzy set theory and the soft set theory.

Some operations on the type-2 fuzzy soft sets are given.

Furthermore, we investigate the decision making based on type-2 fuzzy soft sets.

By means of level soft sets, we propose an adjustable approach to type-2 fuzzy-soft-set based decision making and give some illustrative examples.

Moreover, we also introduce the weighted type-2 fuzzy soft set and examine its application to decision making.