×
Kruse, Rudolf

Fuzzy integrals and conditional fuzzy measures. (English) Zbl 0525.28001

Fuzzy Sets Syst. 10, 309-313 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0525.28001

Cited in 1 Review
Cited in 19 Documents

MSC:

28A10 Real- or complex-valued set functions
28A99 Classical measure theory
28A25 Integration with respect to measures and other set functions
28A15 Abstract differentiation theory, differentiation of set functions

Keywords:

conditional fuzzy measure; fuzzy integral with respect to a lambda- additive fuzzy measure; Radon-Nikodym-like theorem
Cite Review PDF
Full Text: DOI

References:

[1] Banon, G., Distinctions between several subsets of fuzzy measures, Fuzzy Sets and Systems, 5, 291-305 (1981) · Zbl 0449.60001
[2] Kruse, R., Zur Konstruktion von unscharfen, λ-additiven Maßen, (Dissertation (1980), Braunschweig: Braunschweig Lyon) · Zbl 0491.28006
[3] Kruse, R., A note on λ-additive fuzzy measures, Fuzzy Sets and Systems, 8, 219-222 (1982) · Zbl 0491.28007
[4] Kruse, R., On the construction of fuzzy measures, Fuzzy Sets and Systems, 8, 323-327 (1982) · Zbl 0501.28003
[5] R. Kruse, On the entropy of λ-additive fuzzy measures. J. Math. Anal. Appl., to appear.; R. Kruse, On the entropy of λ-additive fuzzy measures. J. Math. Anal. Appl., to appear. · Zbl 0648.28013
[6] Sugeno, M., Theory of fuzzy integrals and its applications, (Thesis (1974), Tokyo Institute of Technology) · Zbl 0316.60005
[7] Sugeno, M.; Terano, T., A model of learning based on fuzzy information, Kybernetes, 6, 157-166 (1977)
[8] Terano, T.; Sugeno, M., Conditional fuzzy measures and their applications, (Zadeh, L., Fuzzy Sets and Their Applications to Cognitive and Decision Processes (1975), Academic Press) · Zbl 0316.60005
[9] Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (1965) · Zbl 0139.24606
[10] Zadeh, L. A., Probability measures of fuzzy events, J. Math. Anal. Appl., 23, 421-427 (1968) · Zbl 0174.49002
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.