Abstract

Since the birth of fuzzy topology, the fuzzy membership between fuzzy point and fuzzy subset has drawn attention, and various fuzzy memberships have been introduced, e.g. Pao-Ming Pu and Ying-Ming Liu's (1980) quasi-coincidence, Guo-Jun Wang's (1983) remote-neighborhood, and P.T. Johnstone's (1988) locale-wise membership. The author shows that those fuzzy memberships above could be unified into the model-relation in S. Vickers' (1989) topological systems. Based on that, the author would like to exhibit a little permeation between fuzzy topology and topological systems. The aim is to introduce another approach to fuzzy topology study.

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