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Towards fuzzy differential calculus. I: Integration of fuzzy mappings. (English) Zbl 0493.28002


MSC:

28B99 Set functions, measures and integrals with values in abstract spaces
03E72 Theory of fuzzy sets, etc.
26A42 Integrals of Riemann, Stieltjes and Lebesgue type
26B99 Functions of several variables
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[14] Zadeh, L. A., Fuzzy sets, Inform. and Control, 8, 338-353 (1965) · Zbl 0139.24606
[15] Zadeh, L. A., Probability measures of fuzzy events, J. Math. Anal. Appl., 23, 421-427 (1968) · Zbl 0174.49002
[16] Zadeh, L. A., The concept of a linguistic variable and its application to approximate reasoning, Part III, Inform. Sci., 9, 43-80 (1975) · Zbl 0404.68075
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[18] D. Dubois and H. Prade, Towards fuzzy differential calculus. Part 2: Integration on fuzzy intervals, Fuzzy Sets and Systems, to appear.; D. Dubois and H. Prade, Towards fuzzy differential calculus. Part 2: Integration on fuzzy intervals, Fuzzy Sets and Systems, to appear. · Zbl 0493.28003
[19] D. Dubois and H. Prade, Towards fuzzy differential calculus. Part 3: Fuzzy differentiation, Fuzzy Sets and Systems, to appear.; D. Dubois and H. Prade, Towards fuzzy differential calculus. Part 3: Fuzzy differentiation, Fuzzy Sets and Systems, to appear. · Zbl 0499.28009
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