Research on Bounded Rationality of Fuzzy Choice Functions

The 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 de...

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Main Authors: Xinlin Wu, Yong Zhao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/928279
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author Xinlin Wu
Yong Zhao
author_facet Xinlin Wu
Yong Zhao
author_sort Xinlin Wu
collection DOAJ
description The 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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publishDate 2014-01-01
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spelling doaj-art-03bd520ccd68400a89feedd15f3acf232025-08-20T02:03:19ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/928279928279Research on Bounded Rationality of Fuzzy Choice FunctionsXinlin Wu0Yong Zhao1Department of Systems Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaDepartment of Systems Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaThe 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.http://dx.doi.org/10.1155/2014/928279
spellingShingle Xinlin Wu
Yong Zhao
Research on Bounded Rationality of Fuzzy Choice Functions
The Scientific World Journal
title Research on Bounded Rationality of Fuzzy Choice Functions
title_full Research on Bounded Rationality of Fuzzy Choice Functions
title_fullStr Research on Bounded Rationality of Fuzzy Choice Functions
title_full_unstemmed Research on Bounded Rationality of Fuzzy Choice Functions
title_short Research on Bounded Rationality of Fuzzy Choice Functions
title_sort research on bounded rationality of fuzzy choice functions
url http://dx.doi.org/10.1155/2014/928279
work_keys_str_mv AT xinlinwu researchonboundedrationalityoffuzzychoicefunctions
AT yongzhao researchonboundedrationalityoffuzzychoicefunctions