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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
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References:
[1] Artico, G.; Moresco, R.: Fuzzy proximities compatible with lowen fuzzy uniformities. Fuzzy sets and systems 21, 85-98 (1987) · Zbl 0612.54006
[2] Hutton, B. W.: Uniformities on fuzzy topological spaces. J. math. Anal. appl. 53, 559-571 (1977) · Zbl 0358.54008
[3] Katsaras, A. K.: Fuzzy proximities and fuzzy completely regular spaces I. An. ştiinţ. Univ. ia{\cent}i 26, 31-41 (1980)
[4] Katsaras, A. K.: On fuzzy syntopogenous structures. Rev. roumaine math. Pures appl. 30, 419-431 (1985) · Zbl 0587.54010
[5] Katsaras, A. K.: Fuzzy quasi-proximities and fuzzy quasi-uniformities. Fuzzy sets and systems 27, 335-343 (1988) · Zbl 0671.54005
[6] Katsaras, A. K.: Totally bounded fuzzy syntopogenous structures. Fuzzy sets and systems 28, 91-103 (1988) · Zbl 0678.54005
[7] Katsaras, A. K.: Fuzzy neighborhood structures and fuzzy quasi-uniformities. Fuzzy sets and systems 29, 187-199 (1989) · Zbl 0658.54008
[8] Katsaras, A. K.: Fuzzy syntopogenous structures compatible with lowen fuzzy uniformities and artico-moresco fuzzy proximities. Fuzzy sets and systems 36, 375-393 (1990) · Zbl 0704.54004
[9] Katsaras, A. K.; Petalas, C. G.: A unified theory of fuzzy topologies, fuzzy proximities and fuzzy uniformities. Rev. roumaine math. Pures appl. 28, No. 9, 845-856 (1983) · Zbl 0521.54002
[10] Katsaras, A. K.; Petalas, C. G.: On fuzzy syntopogenous structures. J. math. Anal. appl. 99, No. 1, 219-236 (1984) · Zbl 0558.54001
[11] Lowen, R.: Fuzzy neighborhood spaces. Fuzzy sets and systems 7, 165-189 (1982) · Zbl 0487.54008
[12] Lowen, R.: Fuzzy uniform spaces. J. math. Anal. appl. 82, 370-385 (1981) · Zbl 0494.54005
[13] Morsi, N. M.: Nearness concepts in fuzzy neighborhood spaces and in their fuzzy proximity spaces. Fuzzy sets and systems 31, 83-109 (1989) · Zbl 0689.54003
[14] Mashhour, A. S.; Morsi, N. M.; El-Tantawy, O. A.: Fuzzy neighbourhood syntopogenous structures. Fuzzy sets and systems 43, 219-234 (1991) · Zbl 0761.54005