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Category of Generalized Intuitionistic Fuzzy Sets

作者:YANGWan-cai; LIXiao-shen广义模糊集中间目标弱拓扑斯范畴论

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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