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Similarity measure design and similarity computation for discrete fuzzy data

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Abstract

The similarity computations for fuzzy membership function pairs were carried out. Fuzzy number related knowledge was introduced, and conventional similarity was compared with distance based similarity measure. The usefulness of the proposed similarity measure was verified. The results show that the proposed similarity measure could be applied to ordinary fuzzy membership functions, though it was not easy to design. Through conventional results on the calculation of similarity for fuzzy membership pair, fuzzy membership-crisp pair and crisp-crisp pair were carried out. The proposed distance based similarity measure represented rational performance with the heuristic point of view. Furthermore, troublesome in fuzzy number based similarity measure for abnormal universe of discourse case was discussed. Finally, the similarity measure computation for various membership function pairs was discussed with other conventional results.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, Suzhou, 215123, China

    Sang-Hyuk Lee

  2. Institute for Information and Electronics Research, Inha University, 253 Yonghyun-dong, Nam-Gu, Incheon, 402-751, Korea

    Wook-Je Park

  3. Daeho Technology Korea Co., Ltd, Changwon, Gyeongnam, 641-773, Korea

    Dong-yean Jung

Authors
  1. Sang-Hyuk Lee
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  2. Wook-Je Park
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  3. Dong-yean Jung
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Correspondence to Sang-Hyuk Lee.

Additional information

Foundation item: Project(2010-0020163) supported by Priority Research Centers Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology

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Lee, SH., Park, WJ. & Jung, Dy. Similarity measure design and similarity computation for discrete fuzzy data. J. Cent. South Univ. Technol. 18, 1602–1608 (2011). https://doi.org/10.1007/s11771-011-0878-0

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  • DOI: https://doi.org/10.1007/s11771-011-0878-0

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