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模糊选择函数T-拟传递合理性充要条件的研究 被引量:1

A Study on Necessary and Sufficient Conditions of T-quasi-transitive Rationality of Fuzzy Choice Functions
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摘要 T-拟传递合理性对模糊选择函数的研究至关重要.基于选择集为正规模糊选择集,对任意的t-模,利用文献中已有的结论,深入研究了模糊选择函数T-拟传递合理性的刻画问题,得到了模糊选择函数T-拟传递合理性的充要条件. T-quasi-transitive rationality of fuzzy choice functions is essential to the research of fuzzy choice functions.In this paper,based on the normality of fuzzy choice sets,we investigate the characterizations of T-quasi-transitive rationality of fuzzy choice functions for any t-norms by use of conclusions in the literature.And thus,we obtain some necessary and sufficient conditions of T-quasi-transitive rationality.
出处 《数学的实践与认识》 北大核心 2016年第18期235-241,共7页 Mathematics in Practice and Theory
基金 山西省自然科学基金(2013011004-1) 山西省留学回国人员科研资助项目(2013052) 山西省研究生教育改革研究课题(20142028)
关键词 模糊选择函数 T-拟传递合理 Fδ合理性条件 fuzzy choice functions T-quasi-transitive rationality Fδ rationality condition
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