Decision making based on generalized geometric operator under interval-valued intuitionistic fuzzy environment

摘要

An interval-valued intuitionistic fuzzy set (Atanassov and Gargov, 1989) is one of the generalizations of fuzzy set theory. Since it is characterized by a membership range and a non-membership range, it is very useful in modeling real life problems. This study develops an approach to deal with the decision making problems in the context of interval-valued intuitionistic fuzzy sets. First, the generalized interval-valued intuitionistic fuzzy weighted geometric (GIIFWG) and generalized interval-valued intuitionistic fuzzy ordered weighted geometric (GIIFOWG) operators are proposed to aggregate the interval-valued intuitionistic fuzzy values. Then, the properties and special cases of these operators are studied in detail. Furthermore, an example is provided to illustrate the developed methods. The results reveal that different parameters of the aggregation operators may bring out different ranks of alternatives.