Gil, M. A.; Corral, N.; Gil, P. The fuzzy decision problem: An approach to the point estimation problem with fuzzy information. (English) Zbl 0576.90003 Eur. J. Oper. Res. 22, 26-34 (1985). Die Verff. geben eine Verallgemeinerung der Parameter-Schätzmethode für den Fall von unscharfen (”fuzzy”) Entscheidungsproblemen. Entsprechend werden Begriffe der unscharfen Entscheidungstheorie mit Bezug auf die entsprechenden Begriffe der statistischen Entscheidungstheorie hergeleitet und genutzt, um speziell über den Bayes fuzzy estimator Theoreme zu beweisen. Reviewer: E.Melis Cited in 20 Documents MSC: 91B06 Decision theory 03E72 Theory of fuzzy sets, etc. 62C10 Bayesian problems; characterization of Bayes procedures Keywords:prior risk; posterior risk; parameter estimation; fuzzy decision; fuzzy information; point estimation; risk function; Bayes fuzzy estimator × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Blackwell, D.; Girshick, M. A., Theory of Games and Statistical Decisions (1954), Wiley: Wiley New York · Zbl 0056.36303 [2] De Groot, M. H., Optimal Statistical Decisions (1970), Mc Graw-Hill: Mc Graw-Hill New York · Zbl 0225.62006 [3] Ferguson, T. S., Mathematical Statistics. A Decision Theory Approach (1967), Academic Press: Academic Press New York · Zbl 0153.47602 [4] Gil, M. A.; López, M. T.; Gil, P., Comparison between fuzzy information systems, Kybernetes, 13, 245-251 (1984) · Zbl 0552.94030 [5] Gil, M. A.; López, M. T.; Gil, P., Quantity of information; comparison between information systems, Part I: non-fuzzy states, Part 2. fuzzy states, Fuzzy Sets and Systems, 15, 2, 129-145 (1985) · Zbl 0559.94003 [6] Goguen, J. A., \(L\)-fuzzy sets, Journal of Mathematical Analysis and Applications, 18, 145-174 (1967) · Zbl 0145.24404 [7] Okuda, T.; Tanaka, H.; Asai, K., A formulation of fuzzy decision problem with fuzzy information, using probability measures of fuzzy events, Information and Control, 38, 135-147 (1978) · Zbl 0401.94050 [8] Ralescu, D., Fuzzy logic and statistical estimation, (Proceedings of the Second World Conference on Mathematics at the Service of Man. Proceedings of the Second World Conference on Mathematics at the Service of Man, Canarias (1982)), 605-606 · Zbl 0503.62009 [9] Tanaka, H.; Okuda, T.; Asai, K., Fuzzy information and decision in statistical model, (Advances in Fuzzy Sets Theory and Applications (1979), North-Holland: North-Holland Amsterdam), 303-320 [10] Zacks, S., The Theory of Statistical Inference (1971), Wiley: Wiley New York [11] Zadeh, L. A., Fuzzy sets, Information and Control, 8, 338-353 (1965) · Zbl 0139.24606 [12] Zadeh, L. A., Probability measures of fuzzy events, Journal of Mathematical Analysis and Applications, 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.