Zhang, Bokan On measurability of fuzzy-number-valued functions. (English) Zbl 0978.28010 Fuzzy Sets Syst. 120, No. 3, 305-509 (2001). Summary: This paper gives a new definition of the measurability of fuzzy number-valued functions, and shows the relationship among this measurability and those derived from the corresponding set-valued functions. Cited in 6 Documents MSC: 28E10 Fuzzy measure theory Keywords:support functions; measurability; fuzzy number-valued functions; set-valued functions PDF BibTeX XML Cite \textit{B. Zhang}, Fuzzy Sets Syst. 120, No. 3, 305--509 (2001; Zbl 0978.28010) Full Text: DOI References: [1] Butnariu, D., Measurability concepts for fuzzy mappings, Fuzzy Sets and Systems, 31, 77-82 (1989) · Zbl 0664.28011 [2] Cheney, E. W., Introduction to Approximation Theory (1966), McGraw-Hill: McGraw-Hill New York · Zbl 0161.25202 [3] Diamond, P.; Kloeden, P., Characterization of compact subsets, Fuzzy Sets and Systems, 29, 341-348 (1989) · Zbl 0661.54011 [4] Kaleva, O., Fuzzy differential equations, Fuzzy Sets and Systems, 24, 301-317 (1987) · Zbl 0646.34019 [5] Kim, Y. K.; Ghil, B. M., Integrals of fuzzy-number-valued functions, Fuzzy Sets and Systems, 86, 213-222 (1997) · Zbl 0922.28015 [6] Klein, E.; Thompson, A. C., (Theory of Correspondence (1984), Wiley-Interscience Publication: Wiley-Interscience Publication New York), 167-168 [8] Puri, M. L.; Ralescu, D. A., Fuzzy random variables, J. Math. Anal Appl., 114, 409-422 (1986) · Zbl 0592.60004 [9] Congxin, Wu; Ming, Ma, Embedding problem of fuzzy number spacePart II, Fuzzy Sets and Systems, 45, 189-202 (1992) · Zbl 0771.46045 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.