Category of Generalized Intuitionistic Fuzzy Sets

Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (2): 192-199.

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.

Abstract

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

CLC Number:

O159

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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Category of Generalized Intuitionistic Fuzzy Sets

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