General interpolation technique in fuzzy rule bases with arbitrary membership functions

P. Baranyi, T. D. Gedeon, L. Kóczy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

36 Citations (Scopus)

Abstract

In this article we will present a new general multidimensional fuzzy rule interpolation method. This method, compared to the existing interpolation methods, can be applied for arbitrary type of fuzzy sets, does not require convex and normal sets in the rules. Other important difference: the new method gives an interpretable conclusion in every case, unlike the previously published methods. As a matter of course, to apply arbitrary type of sets, the general method makes calculation necessary for `every point' of the sets. A special method, based on the theory of the general method, will be introduced for application in practice, which needs low computational capacity. The specialized method uses three of the most wide spread set types in practice: the crisp, the triangular, and the trapezoidal fuzzy sets. The difference between the new and the former methods will be pointed out by examples and the results of different former methods.

Original languageEnglish
Title of host publicationProceedings of the IEEE International Conference on Systems, Man and Cybernetics
PublisherIEEE
Pages510-515
Number of pages6
Volume1
Publication statusPublished - 1996
EventProceedings of the 1996 IEEE International Conference on Systems, Man and Cybernetics - Beijing, China
Duration: Oct 14 1996Oct 17 1996

Other

OtherProceedings of the 1996 IEEE International Conference on Systems, Man and Cybernetics
CityBeijing, China
Period10/14/9610/17/96

Fingerprint

Fuzzy rules
Membership functions
Fuzzy sets
Interpolation

ASJC Scopus subject areas

  • Hardware and Architecture
  • Control and Systems Engineering

Cite this

Baranyi, P., Gedeon, T. D., & Kóczy, L. (1996). General interpolation technique in fuzzy rule bases with arbitrary membership functions. In Proceedings of the IEEE International Conference on Systems, Man and Cybernetics (Vol. 1, pp. 510-515). IEEE.

General interpolation technique in fuzzy rule bases with arbitrary membership functions. / Baranyi, P.; Gedeon, T. D.; Kóczy, L.

Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. Vol. 1 IEEE, 1996. p. 510-515.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Baranyi, P, Gedeon, TD & Kóczy, L 1996, General interpolation technique in fuzzy rule bases with arbitrary membership functions. in Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. vol. 1, IEEE, pp. 510-515, Proceedings of the 1996 IEEE International Conference on Systems, Man and Cybernetics, Beijing, China, 10/14/96.
Baranyi P, Gedeon TD, Kóczy L. General interpolation technique in fuzzy rule bases with arbitrary membership functions. In Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. Vol. 1. IEEE. 1996. p. 510-515
Baranyi, P. ; Gedeon, T. D. ; Kóczy, L. / General interpolation technique in fuzzy rule bases with arbitrary membership functions. Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. Vol. 1 IEEE, 1996. pp. 510-515
@inproceedings{736bdd0f59ea49bb8f5741ce44040f5f,
title = "General interpolation technique in fuzzy rule bases with arbitrary membership functions",
abstract = "In this article we will present a new general multidimensional fuzzy rule interpolation method. This method, compared to the existing interpolation methods, can be applied for arbitrary type of fuzzy sets, does not require convex and normal sets in the rules. Other important difference: the new method gives an interpretable conclusion in every case, unlike the previously published methods. As a matter of course, to apply arbitrary type of sets, the general method makes calculation necessary for `every point' of the sets. A special method, based on the theory of the general method, will be introduced for application in practice, which needs low computational capacity. The specialized method uses three of the most wide spread set types in practice: the crisp, the triangular, and the trapezoidal fuzzy sets. The difference between the new and the former methods will be pointed out by examples and the results of different former methods.",
author = "P. Baranyi and Gedeon, {T. D.} and L. K{\'o}czy",
year = "1996",
language = "English",
volume = "1",
pages = "510--515",
booktitle = "Proceedings of the IEEE International Conference on Systems, Man and Cybernetics",
publisher = "IEEE",

}

TY - GEN

T1 - General interpolation technique in fuzzy rule bases with arbitrary membership functions

AU - Baranyi, P.

AU - Gedeon, T. D.

AU - Kóczy, L.

PY - 1996

Y1 - 1996

N2 - In this article we will present a new general multidimensional fuzzy rule interpolation method. This method, compared to the existing interpolation methods, can be applied for arbitrary type of fuzzy sets, does not require convex and normal sets in the rules. Other important difference: the new method gives an interpretable conclusion in every case, unlike the previously published methods. As a matter of course, to apply arbitrary type of sets, the general method makes calculation necessary for `every point' of the sets. A special method, based on the theory of the general method, will be introduced for application in practice, which needs low computational capacity. The specialized method uses three of the most wide spread set types in practice: the crisp, the triangular, and the trapezoidal fuzzy sets. The difference between the new and the former methods will be pointed out by examples and the results of different former methods.

AB - In this article we will present a new general multidimensional fuzzy rule interpolation method. This method, compared to the existing interpolation methods, can be applied for arbitrary type of fuzzy sets, does not require convex and normal sets in the rules. Other important difference: the new method gives an interpretable conclusion in every case, unlike the previously published methods. As a matter of course, to apply arbitrary type of sets, the general method makes calculation necessary for `every point' of the sets. A special method, based on the theory of the general method, will be introduced for application in practice, which needs low computational capacity. The specialized method uses three of the most wide spread set types in practice: the crisp, the triangular, and the trapezoidal fuzzy sets. The difference between the new and the former methods will be pointed out by examples and the results of different former methods.

UR - http://www.scopus.com/inward/record.url?scp=0030380210&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030380210&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030380210

VL - 1

SP - 510

EP - 515

BT - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

PB - IEEE

ER -