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Title: Information boundedness principle in fuzzy inference process (English)
Author: Sarkoci, Peter
Author: Šabo, Michal
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 38
Issue: 3
Year: 2002
Pages: [327]-338
Summary lang: English
Category: math
Summary: The information boundedness principle requires that the knowledge obtained as a result of an inference process should not have more information than that contained in the consequent of the rule. From this point of view relevancy transformation operators as a generalization of implications are investigated. (English)
Keyword: inference
Keyword: fuzzy system modeling
MSC: 03B52
MSC: 03E72
MSC: 68T37
idZBL: Zbl 1265.68278
idMR: MR1944313
Date available: 2009-09-24T19:46:26Z
Last updated: 2015-03-25
Stable URL:
Reference: [1] Dubois D., Prade H.: Properties of measures of information in evidence and possibility theories.Fuzzy Sets and Systems 100 (1999), Supplement, 35–49 MR 1177947
Reference: [2] Klir G. J., Bo Y.: Fuzzy Sets and Fuzzy Logic.Theory and Applications. Prentice–Hall, Englewood Cliffs, N. J. 1995 Zbl 0915.03001, MR 1329731
Reference: [3] Kolesárová A., Kerre E. E.: Computational rule of inference based on triangular norms.In: Fuzzy If–Then Rules in Computational Inteligence. Theory and Applications (Da Ruan and E. E. Kerre, eds.), Kluwer Academic Publishers, Dordrecht 2000, pp. 61–80
Reference: [4] Nelsen R. B.: An Introduction to Copulas.Lecture Notes in Statistics, Springer, Berlin 1999 Zbl 1152.62030, MR 1653203
Reference: [5] Šabo M., Kolesárová, A., Varga Š.: RET operators generated by triangular norms and copulas.Internat. J. Uncertainty and Knowledge–Based Systems 9 (2001), 2, 169–181 Zbl 1113.68504, MR 1821986, 10.1142/S0218488501000715
Reference: [6] Yager R. R.: Global requirements for implication operators in fuzzy modus ponens.Fuzzy Sets and Systems 106 (1999), 3–10 Zbl 0931.68117, MR 1689566
Reference: [7] Yager R. R.: Uninorms in fuzzy modeling.Fuzzy Sets and Systems 122 (2001), 167–175 MR 1839955, 10.1016/S0165-0114(00)00027-0


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