| Georgescu模糊选择函数伪传递合理性的研究 |
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| 引用本文： | 高倩,王绪柱,武彩萍.Georgescu模糊选择函数伪传递合理性的研究[J].模糊系统与数学,2020,34(1):56-66. |
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| 作者姓名： | 高倩 王绪柱 武彩萍 |
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| 作者单位： | 太原理工大学数学学院,山西榆次030600 |
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| 摘 要： | 本文研究模糊选择函数伪传递合理性。对普通选择函数伪传递合理的两个充要条件进行了模糊化,讨论了它们的独立性;证明了对Georgescu模糊选择函数而言,这两个条件仍是伪传递合理的充分条件,但不再是必要条件。
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| 关 键 词： | 模糊选择函数 合理性 模糊显示偏好 伪传递 |
A Study on Pseudo-transitive Rationality of Georgescu Fuzzy Choice Functions |
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| GAO Qian,WANG Xu-zhu,WU Cai-ping.A Study on Pseudo-transitive Rationality of Georgescu Fuzzy Choice Functions[J].Fuzzy Systems and Mathematics,2020,34(1):56-66. |
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| Authors: | GAO Qian WANG Xu-zhu WU Cai-ping |
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| Institution: | (College of Mathematics,Taiyuan University of Technology,Yuci 030600,China) |
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| Abstract: | In this paper, we deal with the pseudo-transitive rationality of fuzzy choice functions. We fuzzify two necessary and sufficient conditions for pseudo-transitive rationality of crisp choice functions, and discuss the independence of them;And verify that two conditions are still sufficient conditions for pseudo-transitive rationality of Georgescu fuzzy choice functions, but they are no longer necessary. |
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| Keywords: | Fuzzy Choice Function Rationality Fuzzy Revealed Preference Pseudo-transitivity |
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