| 广义直觉模糊集的范畴 |
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| 作者姓名： | YANG Wan-cai LI Xiao-shen |
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| 作者单位： | Department of Mathematics and Physics，Henan University of Science and Technology，Luoyang 471003，China |
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| 摘 要： | In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS axe studied. Firstly， it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers， Secondly， it is proved that the category GIFS has middle object and consequently GIFS is a weak topos.Thirdly， by the use of theory of weak topos GIFS，the power object of an object in GIFS is studied.
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| 关 键 词： | 广义模糊集 中间目标 弱拓扑斯 范畴论 |
Category of Generalized Intuitionistic Fuzzy Sets |
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| YANG Wan-cai,LI Xiao-shen.Category of Generalized Intuitionistic Fuzzy Sets[J].Chinese Quarterly Journal of Mathematics,2005,20(2):192-199. |
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| Authors: | YANGWan-cai LIXiao-shen |
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| Institution: | DepartmentofMathematicsandPhysics,HenanUniversityofScienceandTechnology,Luoyang471003,China |
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| Abstract: | In this paper, category GIFS of generalized intuitionistic fuzzy sets(GIF) is built up. Topoi properties of category GIFS are studied. Firstly, it is proved that the category GIFS has all topoi properties except that it has no subobject classifiers, Secondly, it is proved that the category GIFS has middle object and consequently GIFS is a weak topos. Thirdly, by the use of theory of weak topos GIFS, the power object of an object in GIFS is studied. |
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| Keywords: | category topos middle object weak topos generalized intuitionistic fuzzy set |
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