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Dubois, Didier; Prade, Henri

Towards fuzzy differential calculus. II: Integration on fuzzy intervals. (English) Zbl 0493.28003

Fuzzy Sets Syst. 8, 105-116 (1982).
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Cited in 4 Reviews
Cited in 46 Documents

MSC:

28B99 Set functions, measures and integrals with values in abstract spaces
26A42 Integrals of Riemann, Stieltjes and Lebesgue type
03E72 Theory of fuzzy sets, etc.

Keywords:

fuzzy set; interval analysis; Riemann integration; Zadeh’s extension principle; fuzzy event; fuzzy-valued integral; Yager’s integral

Citations:

Zbl 0174.490; Zbl 0438.60006; Zbl 0493.28002
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\textit{D. Dubois} and \textit{H. Prade}, Fuzzy Sets Syst. 8, 105--116 (1982; Zbl 0493.28003)
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References:

[1] Dubois, D.; Prade, H., Towards fuzzy analysis: integration and differentiation of fuzzy mappings, () · Zbl 0582.03040
[2] Dubois, D.; Prade, H., Fuzzy sets and systems: theory and applications, (1980), Academic Press New York · Zbl 0444.94049
[3] Dubois, D.; Prade, H., Towards fuzzy differential calculus. part 1: integration of fuzzy mappings, Fuzzy sets and systems, 8, 1-17, (1982) · Zbl 0493.28002
[4] Dubois, D.; Prade, H., Towards fuzzy differential calculus. part 3: differentiation, Fuzzy sets and systems, 8, (1982), to appear · Zbl 0537.93003
[5] Khalili, S., Independent fuzzy events, J. math. anal. appl., 67, 412-420, (1979) · Zbl 0422.60002
[6] Klement, E.P., Some relations between integration on fuzzy sets and fuzzy measures, () · Zbl 0491.28005
[7] Nguyen, H., A note on the extension principle for fuzzy sets, J. math. anal. appl., 64, 369-380, (1978) · Zbl 0377.04004
[8] Ralescu, D., Integration on fuzzy sets, (1979), Indiana University Bloomington
[9] Yager, R.R., A note on probabilities of fuzzy events, Inform. sci., 18, 113-129, (1979) · Zbl 0438.60006
[10] Zadeh, L.A., Probability measures of fuzzy events, J. math. anal. appl., 23, 421-427, (1968) · Zbl 0174.49002
[11] Zadeh, L.A., Similarity relations and fuzzy orderings, Inform. sci., 3, 177-200, (1971) · Zbl 0218.02058
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