| Title:
|
Selection and correction of weighted rules based on Łukasiewicz's fuzzy logic with evaluated syntax (English) |
| Author:
|
Ivánek, Jiří |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2017 |
| Pages:
|
113-128 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The core of the expert knowledge is typically represented by a set of rules (implications) assigned with weights specifying their (un)certainties. In the paper, a method for hierarchical selection and correction of expert's weighted rules is described particularly in the case when Łukasiewicz's fuzzy logic with evaluated syntax for dealing with weights is used. (English) |
| Keyword:
|
uncertain knowledge |
| Keyword:
|
fuzzy implication |
| Keyword:
|
rule base |
| Keyword:
|
Łukasiewicz's fuzzy logic with evaluated syntax |
| Keyword:
|
composition function |
| MSC:
|
28E10 |
| MSC:
|
28E99 |
| idZBL:
|
Zbl 06738597 |
| idMR:
|
MR3638559 |
| DOI:
|
10.14736/kyb-2017-1-0113 |
| . |
| Date available:
|
2017-04-03T10:50:22Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146711 |
| . |
| Reference:
|
[1] Berka, P.: Learning compositional decision rules using the KEX algorithm..Intelligent Data Analysis 16 (2012), 665-681. |
| Reference:
|
[2] Berka, P., Ivánek, J.: Automated knowledge acquisition for PROSPECTOR-like expert systems..In: Machine Learning: ECML-94 (F. Bergadano and L. D. Raedt, eds.), Springer Verlag 1994, pp. 339-342. MR 1291828, 10.1007/3-540-57868-4_68 |
| Reference:
|
[3] Hájek, P.: Combining functions for certainty factors in consulting systems..Int. J. Man-Machine Studies 22 (1985), 59-76. 10.1016/s0020-7373(85)80077-8 |
| Reference:
|
[4] Hájek, P.: Metamathematics of Fuzzy Logic..Kluwer Academic Publishers, Dordrecht 1998. Zbl 1007.03022, MR 1900263, 10.1007/978-94-011-5300-3 |
| Reference:
|
[5] Hájek, P., Havránek, T., Jiroušek, R.: Uncertain Information Processing in Expert Systems. MR 1253068 |
| Reference:
|
[6] Ivánek, J.: Representation of expert knowledge as a fuzzy axiomatical theory..Int. J. General Systems 20 (1991), 55-58. 10.1080/03081079108945013 |
| Reference:
|
[7] Ivánek, J., Stejskal, B.: Automatic acquisition of knowledge base from data without expert: ESOD (Expert System from Observational Data)..In: Proc. COMPSTAT'88 Copenhagen, Physica-Verlag, Heidelberg 1988, pp. 175-180. 10.1007/978-3-642-46900-8_23 |
| Reference:
|
[8] Ivánek, J., Švenda, J., Ferjenčík, J.: Inference in expert systems based on complete multivalued logic..Kybernetika 25 (1989), 25-32. Zbl 0665.68077, 10.1109/64.193052 |
| Reference:
|
[9] Novák, V.: Fuzzy Logic with Evaluated Syntax..In: Handbook of Mathematical Fuzzy Logic (P. Cintula, C. G. Fermuller, C. and Noguera, eds.), volume 3, College Publications, London 2015, pp. 1063-1104. Zbl 1100.03012 |
| Reference:
|
[10] Novák, V., Perfilieva, I., Močkoř, J.: Mathematical Principles of Fuzzy Logic..Kluwer, Boston 1999. Zbl 0940.03028, MR 1733839, 10.1007/978-1-4615-5217-8 |
| Reference:
|
[11] Pavelka, J.: On fuzzy logic I, II, III..Zeischr. f. Math. Logik und Grundl. der Math. 25 (1979), 45-52, 119-134, 447-464. MR 0524558, 10.1002/malq.19790252510 |
| . |
