کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390134 661218 2011 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A further study on rationality conditions of fuzzy choice functions
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
A further study on rationality conditions of fuzzy choice functions
چکیده انگلیسی

The investigation of rationality plays a central role in the study of fuzzy choice functions. In this paper, we deal with some important rationality conditions of fuzzy choice functions, including Weak (Strong) Fuzzy Congruence Axiom, Weak (Strong) Axiom of Fuzzy Revealed Preference, fuzzy versions of famous crisp conditions α, β, γ and δ etc. in the framework of the Banerjee choice function. We systematically investigate the relationships between these conditions under the assumption that every involved choice set is normal and verify some equivalence results for arbitrary t-norms. As a result, a fuzzy version of the Arrow–Sen theorem is presented. The research makes a significant difference compared with the current investigation in the framework of the Georgescu choice function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 176, Issue 1, 1 August 2011, Pages 1-19