About approach to multi-attribute decision making problems based on COWA operator under interval-valued intuitionistic fuzzy environment

Abstract

Proposed new Hamming distance and entropy for interval-valued intuitionistic fuzzy sets. And then the two new measures, which are extended from the Hamming distance and entropy for intuitionistic fuzzy sets by using the continuous ordered weighted aggregation (COWA) operator, are applied in interval-valued intuitionistic fuzzy multi-attribute decision making (MADM) problems with attribute weights completely unknown. An example is illustrated to verify the effectiveness of the two measures. In fact, we can convert a MADM problem from interval-valued intuitionistic fuzzy environment to intuitionistic fuzzy environment first and then solve it by using the intuitionistic fuzzy MADM methods, which is a new strategy.