| 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:
|
http://hdl.handle.net/10338.dmlcz/135467 |
| . |
| 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 |
| . |
