Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making

An approach for decision making with interval-valued intuitionistic fuzzy information is developed, and a practical example is provided to illustrate the developed approach.

Abstract

Methods for aggregating interval-valued intuitionistic fuzzy information are investigated.Some operational laws of intervalvalued intuitionistic fuzzy numbers are defined.Based on these operational laws,some aggregation operators,including interval-valued intuitionistic fuzzy weighted arithmetic aggregation operator and interval-valued intuitionistic fuzzy weighted geometric aggregation operator,are proposed.The score function and accuracy function of interval-valued intuitionistic fuzzy number are defined,and based on these two functions,a method for ranking interval-valued intuitionistic fuzzy numbers is presented.Finally,an approach for decision making with interval-valued intuitionistic fuzzy information is developed,and a practical example is provided to illustrate the developed approach.