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A new similarity measure for generalized fuzzy numbers

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Abstract

In this paper, first of all the distance measure entitled generalized Hausdorff distance is defined between two trapezoidal generalized fuzzy numbers that has been introduced by Chen [9]. Then using a other distance and combining with generalized Hausdorff distance, the similarity measure is defined. The basic properties of the above-mentioned similarity measure are proved in detail. Finally, the concept is illustrated by solving several testing examples.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    T. Allahviranloo, S. Abbasbandy & S. Hajighasemi

Authors
  1. T. Allahviranloo
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  2. S. Abbasbandy
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  3. S. Hajighasemi
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Correspondence to T. Allahviranloo.

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Allahviranloo, T., Abbasbandy, S. & Hajighasemi, S. A new similarity measure for generalized fuzzy numbers. Neural Comput & Applic 21 (Suppl 1), 289–294 (2012). https://doi.org/10.1007/s00521-012-0836-2

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  • DOI: https://doi.org/10.1007/s00521-012-0836-2

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