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A new effective approximate multiplication operation on LR fuzzy numbers and its application

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Abstract

The arithmetic operations on fuzzy numbers are the necessary tools for solving fuzzy equations. Unlike the addition, the procedure of multiplication of two fuzzy numbers is more demanding. In this paper, a new approximate multiplication formula for the LR fuzzy numbers is defined. Also, two simple applications of this new multiplication are presented. It is shown that, unlike the existing formulas, the proper fuzzy solution can be obtained by using the presented multiplication formula for some fuzzy algebraic equations.

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Acknowledgements

The authors thank the anonymous reviewer for various suggestions which have led to an improvement in both the quality and clarity of the paper.

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The authors have no funding for this research.

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Authors and Affiliations

  1. Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran

    M. Ghanbari

  2. Faculty of engineering and natural sciences, Istinye University, Istanbul, Turkey

    T. Allahviranloo

  3. Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran

    R. Nuraei

  4. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada

    W. Pedrycz

Authors
  1. M. Ghanbari
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  2. T. Allahviranloo
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  3. R. Nuraei
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  4. W. Pedrycz
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Correspondence to T. Allahviranloo.

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Ghanbari, M., Allahviranloo, T., Nuraei, R. et al. A new effective approximate multiplication operation on LR fuzzy numbers and its application. Soft Comput 26, 4103–4113 (2022). https://doi.org/10.1007/s00500-022-06861-y

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