Novel intuitionistic fuzzy weighted geometric operators for intuitionistic fuzzy multi-attribute decision making

Abstract

Intuitionistic fuzzy aggregation operators are crucial to the multiattribute decision making in intuitionistic fuzzy environments. In spite of this, the existing intuitionistic fuzzy weighted geometric operators in the literature have some shortcomings by which unsuitable rankings of the alternatives could be derived. In this paper, this issue is analysed and solved using the proposed diagram illustrations of these operations. Concretely, by investigating the relationships among these operators with three types of complements of the intuitionistic fuzzy numbers, some new intuitionistic fuzzy weighted geometric operators are developed and the relationships among the proposed operators and the existing ones are also verified. In particular, it is noted that all the mentioned intuitionistic fuzzy weighted geometric operators have their own drawbacks, but they are complementary each other. Finally, an approach to intuitionistic fuzzy multiattribute decision making is made based on these operators, and an example is illustrated to show the validity and the sensitivity of the proposed approach.