A Similarity Measure between Fuzzy Sets

Gao Zheng

doi:10.4028/www.scientific.net/AMM.229-231.2663

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 229-231A Similarity Measure between Fuzzy Sets

A Similarity Measure between Fuzzy Sets

Abstract:

The similarity measure is one of the most useful fuzzy measures in fuzzy logic theory. In this paper, we propose a new similarity measure between fuzzy sets. As a preparation, we first choose an axiomatic definition for the similarity measure. Then, according to the chosen axiomatic definition, we propose a new computation formula. Finally, we give two examples to validate its performance. The results show that the new similarity measure is rational for fuzzy sets.

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Periodical:

Applied Mechanics and Materials (Volumes 229-231)

Pages:

2663-2666

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.229-231.2663

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Online since:

November 2012

Authors:

Gao Zheng

Keywords:

Fuzzy Logic, Fuzzy Set, Similarity Measure

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References

[1] L.A. Ladeh: Fuzzy sets. Information and Control Vol. 8 (1965), pp.338-353.

Google Scholar

[2] L.A. Zadeh: Similarity relations and fuzzy ordering. Information Sciences Vol. 3 (1971), pp.177-200.

Google Scholar

[3] C.P. Pappis and N.I. Karacapilidis: A comparative assessment of measures of similarity of fuzzy values. Fuzzy Sets and Systems Vol. 56 (1993), pp.171-174.

DOI: 10.1016/0165-0114(93)90141-4

Google Scholar

[4] X. Liu: Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems Vol. 52 (1992), pp.305-318.

DOI: 10.1016/0165-0114(92)90239-z

Google Scholar

[5] J.J. Buckley and Y. Hayashi: Fuzzy input-output controllers are universal approximates. Fuzzy Sets and Systems, Vol. 58 (1993), pp.273-278.

DOI: 10.1016/0165-0114(93)90503-a

Google Scholar

[6] K.S. Candan, W.S. Li and M.L. Priya: Similarity-based ranking and query processing in multimedia databases. Data & Knowledge Engineering Vol. 35 (2000), pp.259-298.

DOI: 10.1016/s0169-023x(00)00025-2

Google Scholar

[7] W. Zeng and H. Li: Inclusion measures, similarity measures, and the fuzziness of fuzzy sets and their relations. International Journal of Intelligent Systems Vol. 21 (2006), pp.639-653.

DOI: 10.1002/int.20152

Google Scholar