Katsaras, A. K. Operations on fuzzy syntopogenous structures. (English) Zbl 0761.54004 Fuzzy Sets Syst. 43, No. 2, 199-217 (1991). 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. Reviewer: B.Behrens (Göteborg) Cited in 11 Documents MSC: 54A40 Fuzzy topology 54A15 Syntopogeneous structures 54E05 Proximity structures and generalizations 03E72 Theory of fuzzy sets, etc. 54E15 Uniform structures and generalizations Keywords:fuzzy topogenous order; fuzzy syntopogenous structure; fuzzy uniformity; topogenous cover Citations:Zbl 0704.54004 PDFBibTeX XMLCite \textit{A. K. Katsaras}, Fuzzy Sets Syst. 43, No. 2, 199--217 (1991; Zbl 0761.54004) Full Text: DOI 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¢i, 26, 31-41 (1980) · Zbl 0443.54007 [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, 9, 845-856 (1983) · Zbl 0521.54002 [10] Katsaras, A. K.; Petalas, C. G., On fuzzy syntopogenous structures, J. Math. Anal. Appl., 99, 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.