New method for avoiding abnormal conclusion for α-cut based rule interpolation

P. Baranyi, D. Tikk, Yeung Yam, L. Kóczy, Laszlo Nadai

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

30 Citations (Scopus)

Abstract

The first published result in fuzzy rule interpolation was the α-cut based fuzzy rule interpolation, termed as KH-interpolation, originally devoted for complexity reduction. Some deficiencies of this method was presented later, such as abnormal conclusion for certain configuration of the involved fuzzy sets. This inspired several authors to propose various conceptually different fuzzy interpolation approaches, however, none of those algorithms has such a low computational complexity than the KH-method. In the frequent practical cases of using piecewise linear sets only with three of four characteristic points the new methods maintain their relatively high complexity. The goal of this paper is to modify properly the original α-cut based interpolation approach to eliminate the abnormality problem and to ensure normal conclusion in the practical case when the fuzzy sets are of a finite number of characteristic points while at the same time maintaining the advantageous properties of the original method. A concise analysis of the proposed method is also presented.

Original languageEnglish
Title of host publicationIEEE International Conference on Fuzzy Systems
PublisherIEEE
Volume1
Publication statusPublished - 1999
EventProceedings of the 1999 IEEE International Fuzzy Systems Conference, FUZZ-IEEE'99 - Seoul, South Korea
Duration: Aug 22 1999Aug 25 1999

Other

OtherProceedings of the 1999 IEEE International Fuzzy Systems Conference, FUZZ-IEEE'99
CitySeoul, South Korea
Period8/22/998/25/99

Fingerprint

Interpolation
Fuzzy rules
Fuzzy sets
Computational complexity

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Software
  • Safety, Risk, Reliability and Quality

Cite this

Baranyi, P., Tikk, D., Yam, Y., Kóczy, L., & Nadai, L. (1999). New method for avoiding abnormal conclusion for α-cut based rule interpolation. In IEEE International Conference on Fuzzy Systems (Vol. 1). IEEE.

New method for avoiding abnormal conclusion for α-cut based rule interpolation. / Baranyi, P.; Tikk, D.; Yam, Yeung; Kóczy, L.; Nadai, Laszlo.

IEEE International Conference on Fuzzy Systems. Vol. 1 IEEE, 1999.

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

Baranyi, P, Tikk, D, Yam, Y, Kóczy, L & Nadai, L 1999, New method for avoiding abnormal conclusion for α-cut based rule interpolation. in IEEE International Conference on Fuzzy Systems. vol. 1, IEEE, Proceedings of the 1999 IEEE International Fuzzy Systems Conference, FUZZ-IEEE'99, Seoul, South Korea, 8/22/99.
Baranyi P, Tikk D, Yam Y, Kóczy L, Nadai L. New method for avoiding abnormal conclusion for α-cut based rule interpolation. In IEEE International Conference on Fuzzy Systems. Vol. 1. IEEE. 1999
Baranyi, P. ; Tikk, D. ; Yam, Yeung ; Kóczy, L. ; Nadai, Laszlo. / New method for avoiding abnormal conclusion for α-cut based rule interpolation. IEEE International Conference on Fuzzy Systems. Vol. 1 IEEE, 1999.
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