A further study on rationality conditions of fuzzy choice functions

作者：Wu Caiping; Wang Xuzhu^*; Hao Yonghua

来源：Fuzzy Sets and Systems, 2011, 176(1): 1-19.

DOI：10.1016/j.fss.2011.04.008

• Decision analysis
• Choice function
• Revealed preference
• Rationality condition

The investigation of rationality plays a central role in the study of fuzzy choice functions. In this paper, we deal with some important rationality conditions of fuzzy choice functions, including Weak (Strong) Fuzzy Congruence Axiom. Weak (Strong) Axiom of Fuzzy Revealed Preference, fuzzy versions of famous crisp conditions alpha, beta, gamma and delta etc. in the framework of the Banerjee choice function. We systematically investigate the relationships between these conditions under the assumption that every involved choice set is normal and verify some equivalence results for arbitrary t-norms. As a result, a fuzzy version of the Arrow-Sen theorem is presented. The research makes a significant difference compared with the current investigation in the framework of the Georgescu choice function.

• 出版日期2011-8-1
• 单位太原理工大学