Categories isomorphic to the Kubiak--Šostak extension of TML

Authors:
Yueli Yue;Jinming Fang
Affiliations:
Department of Mathematics, Ocean University of China, Qingdao 266071, People's Republic of China;Department of Mathematics, Ocean University of China, Qingdao 266071, People's Republic of China
Venue:
Fuzzy Sets and Systems
Year:
2006

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Abstract

In this paper, we study Wang Guo-Jun's topological molecular lattices (Wang's TML) in a Kubiak-Sostak sense and construct a category-the Kubiak-Sostak extension of TML, denoted by FTML. Then we prove that FTML is topological over CD^o^p and TML is bireflective full subcategory of FTML. Finally, we introduce several important categories to characterize FTML.