On measurability of fuzzy-number-valued functions. (English) Zbl 0978.28010

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.


28E10 Fuzzy measure theory
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[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
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