Improved Weighted Synthesis of Two Criteria for Comparing Intuitionistic Fuzzy Values

Abstract

This paper presents a new approach to comparing intuitionistic fuzzy values. Drawbacks of the previously proposed methods, especially the two-criteria method, are first analyzed. Then the score function and the accuracy function are primarily taken into account to construct the synthesis function with a variable weight coefficient which depends on the risk sensitivity of a decision maker. Not only can maintain some advantages of the two-criteria method, this new approach can provide a more reasonable and accurate estimation of the degree that how much an intuitionistic fuzzy value is greater or less than another one. The choice of risk sensitivity is analyzed to give a suggestion for an inexperienced decision maker. Using some convictive examples, it is shown that the proposed scheme is free of the drawbacks of known methods.