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Embedding problem of fuzzy number space. III. (English) Zbl 0774.54003

[For Part II see Zbl 0771.46045.]
The authors compare some topological structures for fuzzy numbers. As a tool they use an embedding theorem proved earlier [Fuzzy Sets Syst. 44, 33-38 (1991; Zbl 0757.46066)].
Reviewer: O.Kaleva (Tampere)

MSC:

54A40 Fuzzy topology
26E50 Fuzzy real analysis
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References:

[1] Badard, R., Comparison of topological and uniform structures for fuzzy numbers and the fixed point problem, Fuzzy Sets and Systems, 21, 211-220 (1981) · Zbl 0604.54009
[2] Bergstrom, H., Weak Convergence of Measure (1982), Academic Press: Academic Press New York
[3] Dieudonne, J., (Elements d’Analyse, Vol. 1 (1969), Gauthier-Villars: Gauthier-Villars Paris)
[4] Goetschel, R.; Voxman, W., Topological properties of fuzzy number, Fuzzy Sets and Systems, 10, 87-99 (1983) · Zbl 0521.54001
[5] Goetschel, R.; Voxman, W., Elementary fuzzy calculus, Fuzzy Sets and Systems, 18, 31-43 (1986) · Zbl 0626.26014
[6] Kaleva, O., The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems, 35, 389-396 (1990) · Zbl 0696.34005
[7] Negoita, C. V.; Ralescu, D. A., Applications of Fuzzy Sets to Systems Analysis (1975), Wiley: Wiley New York · Zbl 0326.94002
[8] Nguyen, H. T., A note on the extension principle for fuzzy sets, J. Math. Anal. Appl., 64, 369-380 (1978) · Zbl 0377.04004
[9] Puri, M. L.; Ralescu, D. A., Differential for fuzzy functions, J. Math. Anal. Appl., 91, 552-558 (1983) · Zbl 0528.54009
[10] Radstrom, H., An embedding theorem for spaces of convex sets, (Proc. Amer. Math. Soc., 31 (1952)), 165-169 · Zbl 0046.33304
[11] Congxin, Wu; Ming, Ma, Embedding problem of fuzzy number space: Part I, Fuzzy Sets and Systems, 44, 33-38 (1991) · Zbl 0757.46066
[12] Congxin, Wu; Ming, Ma, Embedding problem of fuzzy number space: Part II, Fuzzy Sets and Systems, 45, 189-202 (1992) · Zbl 0771.46045
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