Applications of interval-valued intuitionistic fuzzy soft sets in a decision making problem

Abstract

Soft set theory in combination with the interval-valued intuitionistic fuzzy set has been proposed as the concept of the interval-valued intuitionistic fuzzy soft set. However, up to the present, few documents have focused on practical applications of the interval-valued fuzzy intuitionistic soft sets. In this paper, Firstly, we present the algorithm to solve decision making problems based on interval-valued intuitionistic fuzzy soft sets, which can help decision maker obtain the optical choice. And then we propose a definition of normal parameter reduction of interval-valued intuitionistic fuzzy soft sets, which considers the problems of suboptimal choice and added parameter set, and give a heuristic algorithm to achieve the normal parameter reduction of interval-valued intuitionistic fuzzy soft sets. Finally, an illustrative example is employed to show our contribution. © 2011 Springer-Verlag.