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Additive fuzzy measures and integrals. I. (English) Zbl 0516.28006

MSC:
28A99 Classical measure theory
28A10 Real- or complex-valued set functions
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
05A17 Combinatorial aspects of partitions of integers
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References:
[1] Bourbaki, N, Intégration, (1970), Hermann Paris · Zbl 0213.07501
[2] Butnariu, D, Solution concepts for n-person fuzzy games, (), 339-359
[3] Butnariu, D, Fuzzy games, A description of the concept, Fuzzy sets and systems, 1, 181-192, (1978) · Zbl 0389.90100
[4] Goguen, J, L-fuzzy sets, J. math. anal. appl., 18, 145-147, (1967) · Zbl 0145.24404
[5] {\scE. P. Klement}, Construction of fuzzy σ-algebras using triangular norms, J. Math. Anal. Appl., to appear. · Zbl 0491.28003
[6] Parthasarathy, K.R, Introduction to probability and measures, (1978), Springer-Verlag Berlin/New York · Zbl 0376.60052
[7] Rose, A; Rosser, J, Fragments of many-valued statement calculi, Trans. amer. math. soc., LXXXVII, 1-53, (1958) · Zbl 0085.24303
[8] Sugeno, M, Theory and applications of fuzzy integrals, () · Zbl 0316.60005
[9] Zadeh, L.A, Fuzzy sets, Inform. and control, 8, 338-352, (1965) · Zbl 0139.24606
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