DocumentCode
2069950
Title
The characterization of Wϕ -transitive rationality and acyclic rationality of fuzzy choice functions
Author
Hao, Yonghua ; Xuzhu Wang ; Wu, Caiping ; Xue, Na
Author_Institution
Dept. of Math., Taiyuan Univ. of Technol., Taiyuan, China
Volume
1
fYear
2010
fDate
10-12 Dec. 2010
Firstpage
258
Lastpage
261
Abstract
The objective of the paper is to extend Bandyopadhyay´s results on rationality conditions of crisp choice functions. By fuzzifying the rationality conditions in the crisp case, we present a necessary and sufficient condition for the acyclic rationality and a characterization theorem for the Wφ-transitive rationality under a strong De Morgan triple. As a result, some rationality characterizations in the crisp choice functions are generalized.
Keywords
econometrics; fuzzy set theory; Wφ transitive rationality; acyclic rationality; crisp choice function; fuzzy choice functions; rationality condition; strong De Morgan triple; Artificial neural networks; Wϕ -transitive rationality; acyclic rationality; fuzzy choice function; rationality;
fLanguage
English
Publisher
ieee
Conference_Titel
Progress in Informatics and Computing (PIC), 2010 IEEE International Conference on
Conference_Location
Shanghai
Print_ISBN
978-1-4244-6788-4
Type
conf
DOI
10.1109/PIC.2010.5687454
Filename
5687454
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