DocumentCode
2035763
Title
Fuzzification of Suzumura´s results on choice functions
Author
Wu, Caiping ; Wang, Xuzhu
Author_Institution
Dept. of Math., Taiyuan Univ. of Technol., Taiyuan, China
Volume
3
fYear
2010
fDate
10-12 Aug. 2010
Firstpage
1020
Lastpage
1024
Abstract
In this paper, we mainly fuzzify the rationality conditions of choice functions employed by Suzumura and investigate their relationships systematically under the assumption that every involved choice set is normal. We prove that the rationality condition FRR is equivalent to WFCA, and furthermore, that both conditions are equivalent to WAFRP under a strong De Morgan triple. As a consequence, some work done by Suzumura is generalized.
Keywords
fuzzy set theory; rational functions; De Morgan triple; FRR; Suzumura; WAFRP; WFCA; fuzzification; fuzzy choice function; rationality condition; weak axiom of revealed preference; Biological system modeling; Book reviews; Economics; Fuzzy logic; Fuzzy sets; Modeling; fuzzy choice function; rationality conditions; regular-rational; revealed preference;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-5931-5
Type
conf
DOI
10.1109/FSKD.2010.5569587
Filename
5569587
Link To Document