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Operations on fuzzy syntopogenous structures. (English) Zbl 0761.54004
The author continues his investigation of fuzzy syntopogenous structures as defined in [ibid. 36, No. 3, 375-393 (1990; Zbl 0704.54004)]. In particular, he constructs a “topogenous (a perfect, a biperfect) cover” of a fuzzy semi-topogenous order and studies, with the help of this, initial fuzzy syntopogenous structures (products, subspaces), initial fuzzy quasi-proximities (products) and continuity of functions between fuzzy syntopogenous spaces.
MSC:
54A40Fuzzy topology
54A15Syntopogeneous structures
54E05Proximity structures and generalizations
03E72Fuzzy set theory
54E15Uniform structures and generalizations