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A New Estimation of Failure Analysis in Fuzzy Environment, Case Study: The Electrical Model Failure for the Football Stadium

Author

Listed:
  • T. Allahviranloo

    (Istinye University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey)

  • F. Abbasi

    (��Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran)

Abstract

In this paper, we propose the new fuzzy arithmetic operations based on transmission average on pseudo-hexagonal fuzzy numbers from [F. Abbasi, T. Allahviranloo and S. Abbasbandy, A new attitude coupled with fuzzy thinking to fuzzy rings and fields, Journal of Intelligent and Fuzzy Systems 29 (2015) 851–861]. The properties of these propose operations and their fundamental qualities are discussed in detail. Several illustrative examples were given to show the accomplishment and ability of the proposed method. Finally, as a applied rudimentary case study an electric network model of a football stadium is considered in fuzzy environment. The reliability of components for the proposed model is considered as pseudo-hexagonal fuzzy number.

Suggested Citation

  • T. Allahviranloo & F. Abbasi, 2022. "A New Estimation of Failure Analysis in Fuzzy Environment, Case Study: The Electrical Model Failure for the Football Stadium," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 791-817, November.
    • Handle: RePEc:wsi:nmncxx:v:18:y:2022:i:03:n:s1793005722500387
    DOI: 10.1142/S1793005722500387
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