Weighted interval-valued belief structures on Atanassov’s intuitionistic fuzzy sets

Abstract

The Dempster–Shafer (D–S) theory of evidence provides a powerful tool for combination of uncertainty information, and has been extensively applied to deal with uncertainty and vagueness. This paper shows a new approach to combine weighted interval-valued belief structures based on Atanassov’s intuitionistic fuzzy sets (A-IF) theory. Two numerical examples are provided to illustrate the rule of combination of weighted interval-valued belief structures. It is then found that this combination can lead to a good result in dealing with the corresponding belief structures in accordance with people’s cognitive thinking.