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Öğe A new estimation of failure analysis in fuzzy environment, case study: The electrical model failure for the football stadium(World Scientific Publishing Co. Pte. Ltd., 2022) Allahviranloo, Tofigh; Abbasi, FazlollahIn 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 numberÖğe A New Framework for Numerical Techniques for Fuzzy Nonlinear Equations(Mdpi, 2023) Abbasi, Fazlollah; Allahviranloo, Tofigh; Akram, MuhammadThis paper describes a computational method for solving the nonlinear equations with fuzzy input parameters that we encounter in engineering system analysis. In addition to discussing the existence of solutions, the definition and formalization of numerical solutions is based on a new fuzzy computation operation as a transmission average. Error analysis in numerical solutions is described. Finally, some examples are presented to implement the proposed method and its effectiveness compared to other previous methods.