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
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;
Conference_Titel :
Progress in Informatics and Computing (PIC), 2010 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-6788-4
DOI :
10.1109/PIC.2010.5687454
