Interpolation in homogenous fuzzy signature rule bases

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

Abstract

Fuzzy signature sets (FSigSets) are extensions of the original fuzzy set concept, and also of the Vector Valued Fuzzy Set notion. In a FSigSet rule base the (input) universe of discourse X is mapped into a set of hierarchically grouped fuzzy sets, and each element of X has a 'membership degree' consisting of a rooted tree with membership degrees at each leaf and aggregations at the intermediate vertices. The structure of the tree is identical for each element in the case of homogenous FSigSets, and so are the aggregations, depending only on the position of the vertex. Interpolation in fuzzy rule bases allows the calculation of a conclusion in the output universe Y belonging to an observation even if there are gaps in the rule base and the observation does not intersect with any of the antecedent sets. The key question here is how to determine the degree of similarity, or inversely, the distance, of any observation from the surrounding antecedents of the rules in the base, so that the distance incorporates the information involved with the close connection of the features in the sub-groups, and the aggregations expressing the form of this connection. A solution is proposed, and a pair of numerical examples is presented.

Original languageEnglish
Title of host publication2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509060344
DOIs
Publication statusPublished - Aug 23 2017
Event2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017 - Naples, Italy
Duration: Jul 9 2017Jul 12 2017

Other

Other2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017
CountryItaly
CityNaples
Period7/9/177/12/17

Fingerprint

Rule Base
Fuzzy sets
Interpolation
Signature
Agglomeration
Interpolate
Fuzzy Sets
Aggregation
Fuzzy rules
Fuzzy Rule Base
Rooted Trees
Intersect
Leaves
Subgroup
Numerical Examples
Output
Vertex of a graph
Observation

Keywords

  • Distance by aggragation
  • Fuzzy rule bases
  • Fuzzy rule interpolation
  • Fuzzy Signature Sets

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

Cite this

Kóczy, L. (2017). Interpolation in homogenous fuzzy signature rule bases. In 2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017 [8015393] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FUZZ-IEEE.2017.8015393

Interpolation in homogenous fuzzy signature rule bases. / Kóczy, L.

2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017. Institute of Electrical and Electronics Engineers Inc., 2017. 8015393.

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

Kóczy, L 2017, Interpolation in homogenous fuzzy signature rule bases. in 2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017., 8015393, Institute of Electrical and Electronics Engineers Inc., 2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017, Naples, Italy, 7/9/17. https://doi.org/10.1109/FUZZ-IEEE.2017.8015393
Kóczy L. Interpolation in homogenous fuzzy signature rule bases. In 2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017. Institute of Electrical and Electronics Engineers Inc. 2017. 8015393 https://doi.org/10.1109/FUZZ-IEEE.2017.8015393
Kóczy, L. / Interpolation in homogenous fuzzy signature rule bases. 2017 IEEE International Conference on Fuzzy Systems, FUZZ 2017. Institute of Electrical and Electronics Engineers Inc., 2017.
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