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Some properties of fuzzy neighborhood normed linear spaces. (English) Zbl 0798.46057

Summary: The aim of this paper is to investigate some properties related to continuity, uniform continuity and boundedness in fuzzy neighborhood normed linear spaces.

MSC:

46S40 Fuzzy functional analysis
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References:

[1] Ahsanullah, T. M.G., Fuzzy neighborhood modules and algebras, Fuzzy Sets and Systems, 35, 219-229 (1990) · Zbl 0703.54005
[2] Ahsanullah, T. M.G., Some properties of the level spaces of fuzzy neighborhood spaces and fuzzy neighborhood groups, J. Bangladesh Acad. Sci., 13, 91-95 (1989)
[3] M.A. Amer and N.N. Morsi, Bounded linear transformations between probabilistic normed vector spaces (Preprint).; M.A. Amer and N.N. Morsi, Bounded linear transformations between probabilistic normed vector spaces (Preprint). · Zbl 0867.54011
[4] M.A. Amer and N.N. Morsi, Characterizations of some fuzzy topological notions in probabilistic metric spaces, Fuzzy Sets and Systems; M.A. Amer and N.N. Morsi, Characterizations of some fuzzy topological notions in probabilistic metric spaces, Fuzzy Sets and Systems · Zbl 0786.54005
[5] Congxin, Wu; Ming, M. A., Fuzzy normed algebras and representation of locally m-convex fuzzy topological algebras, Fuzzy Sets and Systems, 30, 63-68 (1989) · Zbl 0664.46049
[6] Katsaras, A. K., Linear fuzzy neighborhood spaces, Fuzzy Sets and Systems, 16, 25-40 (1985) · Zbl 0587.54011
[7] Khan, A. F.M. Khodad; Ahsanullah, T. M.G., Sequential convergence in fuzzy neighborhood spaces, Fuzzy Sets and Systems, 46, 115-120 (1992) · Zbl 0759.54005
[8] Lowen, R., Fuzzy uniform spaces, J. Math. Anal. Appl., 82, 370-385 (1981) · Zbl 0494.54005
[9] Lowen, R., Fuzzy neighborhood spaces, Fuzzy Sets and Systems, 7, 165-189 (1982) · Zbl 0487.54008
[10] Mashhour, A. S.; Morsi, N. N., Fuzzy metric neighborhood spaces, Fuzzy Sets and Systems, 45, 367-388 (1992) · Zbl 0758.54002
[11] Morsi, N. N., On fuzzy pseudo-normed vector spaces, Fuzzy Sets and Systems, 27, 351-372 (1988) · Zbl 0682.46004
[12] Morsi, N. N., The Urysohn Lemma for fuzzy neighborhood spaces, Fuzzy Sets and Systems, 39, 347-360 (1991) · Zbl 0719.54004
[13] Wuyts, P., On the determination of fuzzy topological spaces and fuzzy neighborhood spaces by their level topologies, Fuzzy Sets and Systems, 12, 71-85 (1984) · Zbl 0574.54004
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