Yazar "Akram, Muhammad Saeed" seçeneğine göre listele

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    A new method to solve linear programming problems in the environment of picture fuzzy sets
    (University of Sistan and Baluchestan, 2022) Akram, Muhammad Saeed; Ullah, Inayat; Allahviranloo, Tofigh
    Picture fuzzy set is characterized by neutral membership function along with the membership and non-membership functions, and is, therefore, more general than the intuitionistic fuzzy set which is only characterized by membership and non-membership functions. In this paper, first, we are going to point out a drawback and try to fix it by the existing trapezoidal picture fuzzy number. Furthermore, we define an LR flat picture fuzzy number, which is a generalization of trapezoidal picture fuzzy numbers. We also discuss a linear programming model with LR flat picture fuzzy numbers as parameters and variables and present a method to solve these type of problems using a generalized ranking function. © 2022, University of Sistan and Baluchestan. All rights reserved.
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    Bipolar fuzzy Fourier transform for bipolar fuzzy solution of the bipolar fuzzy heat equation
    (University of Sistan and Baluchestan, 2022) Akram, Muhammad Saeed; Bilal, Muhammad Hamza; Shahriari, Mohammadreza; Allahviranloo, Tofigh
    This article presents the exact solution of a bipolar fuzzy heat equation based on bipolar fuzzy Fourier transform under generalized Hukuhara partial (gH-p) differentiability. A bipolar fuzzy Fourier transform is defined, and the related key propositions and fundamental characteristics are discussed. Further, a bipolar fuzzy heat equation model is constructed using gH-differentiability, and the analytical solution of a bipolar fuzzy heat equation with bipolar fuzzy Fourier transform approach is examined. Some illustrative examples are provided to check the suggested methodology’s liability and efficiency. The type of differentiability and the solution of the bipolar fuzzy heat equation are shown graphically, demonstrating the versatility of the proposed methodology and elucidating the impact of differentiability types on the solution behavior of the bipolar fuzzy heat equation. Additionally, the impact of different parameters on the solution behavior is analyzed, revealing insights into the underlying dynamics. © 2024, University of Sistan and Baluchestan. All rights reserved.