广义直觉模糊集的范畴

数学季刊 ›› 2005, Vol. 20 ›› Issue (2): 192-199.

广义直觉模糊集的范畴

Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China

收稿日期:2005-03-25 出版日期:2005-06-30 发布日期:2024-01-24
作者简介:YANG Wan-cai(1951-),male,native of Zhecheng,Henan,an associate professor of Henan Uni- versity of Science and Technology,M.S.D.,engages in fuzzy math.

Category of Generalized Intuitionistic Fuzzy Sets

Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, China

Received:2005-03-25 Online:2005-06-30 Published:2024-01-24
About author:YANG Wan-cai(1951-),male,native of Zhecheng,Henan,an associate professor of Henan Uni- versity of Science and Technology,M.S.D.,engages in fuzzy math.

摘要/Abstract

摘要： 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.

关键词: category;topos;middle , object;weak topos;generalized , intuitionistic , fuzzy , set

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.

Key words: category;topos;middle , object;weak topos;generalized , intuitionistic , fuzzy , set

中图分类号:

O159

杨万才, 李小申. 广义直觉模糊集的范畴[J]. 数学季刊, 2005, 20(2): 192-199.

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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