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Fuzzy Projection Over a Crisp Set and Applications

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Abstract

This paper presents a new approach for projecting a fuzzy number over a crisp closed convex set. Based on this approach, a kind of fuzzy linear projection equation is introduced and also it is used to solve a fuzzy system of linear equations with crisp variables, fuzzy right-hand side, and fuzzy coefficients. The proposed definition for fuzzy projection is based on \(\alpha-\)cut approach. Numerical examples illustrate the applicability of new approach for solving fuzzy system of linear equations with crisp variables. However, the applications of fuzzy projection cannot be limited just to solving a fuzzy system of linear equations.

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Authors and Affiliations

  1. Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

    Morteza Pakdaman & Sohrab Effati

  2. Center of Excellence on Soft Computing and Intelligent Information Processing, Ferdowsi University of Mashhad, Mashhad, Iran

    Morteza Pakdaman & Sohrab Effati

Authors
  1. Morteza Pakdaman
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  2. Sohrab Effati
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Correspondence to Sohrab Effati.

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This study was not funded by any grant.

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The authors declare that they have no conflict of interest.

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Pakdaman, M., Effati, S. Fuzzy Projection Over a Crisp Set and Applications. Int. J. Fuzzy Syst. 18, 312–319 (2016). https://doi.org/10.1007/s40815-015-0125-1

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  • DOI: https://doi.org/10.1007/s40815-015-0125-1

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