• Xinlin Wu and Yong Zhao.
• Department of Systems Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China ; Department of Mathematics, Hubei University of Education, Wuhan, Hubei 430205, Chi... more na. less
• ScientificWorldJournal. 2014 Jan 1; 2014: 928279.

AbstractThe rationality of a fuzzy choice function is a hot research topic in the study of fuzzy choice functions. In this paper, two common fuzzy sets are studied and analyzed in the framework of the Banerjee choice function. The complete rationality and bounded rationality of fuzzy choice functions are defined based on the two fuzzy sets. An assumption is presented to study the fuzzy choice function, and especially the fuzzy choice function with bounded rationality is studied combined with some rationality conditions. Results show that the fuzzy choice function with bounded rationality also satisfies some important rationality conditions, but not vice versa. The research gives supplements to the investigation in the framework of the Banerjee choice function.

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