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A simple method for computing the entropy of the product of general fuzzy intervals

Author

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  • Luoh, Leh
  • Wang, Wen-June

Abstract

Entropy is generally a measurement of the fuzziness degree for a fuzzy set. This paper studies the entropy calculation of the standard product of two general fuzzy intervals, i.e. C=A×B, and then provides some simple formulas to get the entropy of the product C. Those formulas are composed of the locations of critical points of the fuzzy intervals A and B. By the formulas, the calculation of the membership function of the product C is not needed any more, and the fuzziness estimation of the product of two arbitrary fuzzy intervals can be obtained quickly and effectively.

Suggested Citation

  • Luoh, Leh & Wang, Wen-June, 2001. "A simple method for computing the entropy of the product of general fuzzy intervals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(1), pages 37-49.
    • Handle: RePEc:eee:matcom:v:58:y:2001:i:1:p:37-49
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    Cited by:

    1. Vladimir Chernov & Luidmyla Dorokhova & Oleksandr Dorokhov, 2016. "Fuzzy Approach to Estimates Entropy and Risks for Innovative Projects and Programs," Montenegrin Journal of Economics, Economic Laboratory for Transition Research (ELIT), vol. 12(3), pages 55-68.

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