Title :
Fuzzy memberships via model-relations
Author_Institution :
Coll. of Math. Sci., Shanghai Teachers Univ., China
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
Keywords :
fuzzy set theory; topology; fuzzy memberships; fuzzy point; fuzzy subset; fuzzy topology; locale-wise membership; model-relation; model-relations; quasi-coincidence; remote-neighborhood; topological systems; Educational institutions; Fuzzy sets; Fuzzy systems; Page description languages; Topology;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.944778
