模糊选择函数的wϕ传递合理性和无环合理性的表征

Yonghua Hao, Xuzhu Wang, Caiping Wu, Na Xue
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引用次数: 1

摘要

本文的目的是推广Bandyopadhyay关于脆选择函数的合理性条件的结果。通过模糊化清晰情况下的合理性条件,给出了强De Morgan三重下wϕ -传递合理性的一个充要条件和表征定理。从而推广了脆选择函数的一些合理性特征。
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The characterization of Wϕ-transitive rationality and acyclic rationality of fuzzy choice functions
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.
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