关键词: 直觉模糊集, 直觉模糊熵, 协相关度, 得分函数

Abstract: Aiming at the multi-attribute decision-making problems with unknown attribute weight and Intuitionistic Fuzzy Set（IFS） as decision information, and the problems in researching decision-making methods on the basis of co-correlation degree, a decision-making method based on Intuitionistic Fuzzy（IF） entropy and modified co-correlation degree is proposed. In precise measurement of the intuitionism and fuzziness of IFS, a formula of improved IF entropy, which generalizes and extends the original formula of IF entropy, has been presented and adequately discussed. Moreover, from the structure of the correlation coefficient in probability statistics, the definition of co-correlation degree of IFS is improved by structuring the correlation coefficient and score function between IFS and ideal objects. Thus, an improved multi-attribute decision-making method based on intuitionistic fuzzy information is given, experimental results prove the effectiveness and feasibility.

Key words: intuitionistic fuzzy set, intuitionistic fuzzy entropy, co-correlation degree, score function