Ma, Ming On embedding problems of fuzzy number spaces. IV. (English) Zbl 0789.46069 Fuzzy Sets Syst. 58, No. 2, 185-193 (1993). Summary: In this paper, we are going to follow the preceding papers to investigate the embedding problem of fuzzy number space NE\(^ 1\) by means of a concrete embedding operator. Using the embedding operator, some subclasses of NE\(^ 1\) and metrics on NE\(^ 1\) are also investigated.[For part III see C. Wu and the author, ibid. 46, No. 2, 281-286 (1992; Zbl 0774.54003)]. Cited in 2 ReviewsCited in 14 Documents MSC: 46S40 Fuzzy functional analysis 54A40 Fuzzy topology 03E72 Theory of fuzzy sets, etc. Keywords:metric; embedding problem of fuzzy number space; concrete embedding operator Citations:Zbl 0757.46066; Zbl 0771.46045; Zbl 0774.54003 PDF BibTeX XML Cite \textit{M. Ma}, Fuzzy Sets Syst. 58, No. 2, 185--193 (1993; Zbl 0789.46069) Full Text: DOI OpenURL References: [1] Badard, R., Comparison of topological and uniform structure for fuzzy numbers and the fixed points, Fuzzy Sets and Systems, 21, 211-220 (1987) · Zbl 0604.54009 [2] Diamond, P.; Kloeden, P., Metric spaces of fuzzy sets, Fuzzy Sets and Systems, 35, 241-249 (1990) · Zbl 0704.54006 [3] Goestschel, R.; Voxman, W., A pseudometric for fuzzy sets and certain related results, J. Math. Anal. Appl., 81, 507-523 (1981) · Zbl 0505.54008 [4] Goetschel, R.; Voxman, W., Topological properties of fuzzy number, Fuzzy Sets and Systems, 10, 87-99 (1983) · Zbl 0521.54001 [5] Hewitt, E.; Stromberg, K., Real and Abstract Analysis (1965), Springer-Verlag: Springer-Verlag Berlin [6] Jin Chenhui; Wang Demao, Metric structure on fuzzy number, J. of Beijing Normal College, 3, 1-9 (1989), (in Chinese) [7] Nanda, S., On sequences of fuzzy number, Fuzzy Sets and Systems, 33, 123-126 (1989) · Zbl 0707.54003 [8] Puri, M. L.; Ralescu, D. A., Differentials of fuzzy function, J. Math. Anal. Appl., 91, 552-558 (1983) · Zbl 0528.54009 [9] Puri, M. L.; Ralescu, D. A., Fuzzy random variables, J. Math. Anal. Appl., 114, 409-422 (1986) · Zbl 0592.60004 [10] Steen, L. A.; Seebach, J. A., Counterexamples in Topology (1978), Springer-Verlag: Springer-Verlag New York · Zbl 0211.54401 [11] Wu Congxin; Ma Ming, On embedding problem of fuzzy number space: Part 1, Fuzzy Sets and Systems, 44, 33-38 (1991) · Zbl 0757.46066 [12] Wu Congxin; Ma Ming, On embedding problem of fuzzy number space: Part 2, Fuzzy Sets and Systems, 45, 189-202 (1992) · Zbl 0771.46045 [13] Wu Congxin; Wang Tingfu, Theory of Orliez Spaces and Its Applications (1983), Heilongjiang Science and Technique Publish House: Heilongjiang Science and Technique Publish House Harbin [14] Wu Congxin; Zhao Linsheng; Liu Tiefu, Generalizations and Applications of Bounded Variation Functions (1988), Heilongjiang Science and Technique Publish House: Heilongjiang Science and Technique Publish House Harbin 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.