Fuzzy orders and fuzzifying topologies

Authors:
Jinming Fang;Yue Qiu
Affiliations:
Department of Mathematics, Ocean University of China, Qing Dao 266071, PR China;Department of Mathematics, Ocean University of China, Qing Dao 266071, PR China
Venue:
International Journal of Approximate Reasoning
Year:
2008

Citing 10
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Abstract

The paper presents the essential connections between fuzzy preorders and fuzzifying topologies. In detail, we establish systematic procedure indicating how fuzzifying topologies are induced from fuzzy preordered relations on a set X, and conversely, we will answer the problem that the specialization order can be induced by a fuzzifying topology on a set X. Moveover, a powerful method generating fuzzy preordered relations is obtained.