Yazar "Nuraei, R." seçeneğine göre listele

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    A new effective approximate multiplication operation on LR fuzzy numbers and its application
    (Springer Science and Business Media Deutschland, 2022) Ghanbari, M.; Allahviranloo, T.; Nuraei, R.; Pedrycz, W.
    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. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
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    NUMERICAL SOLUTION OF DUAL FUZZY SYLVESTER MATRIX EQUATIONS BY AN ITERATION METHOD
    (Ministry Communications & High Technologies Republic Azerbaijan, 2023) Ghanbari, M.; Allahviranloo, T.; Pedrycz, W.; Nuraei, R.
    In this paper, dual fuzzy Sylvester matrix equations are studied for the first time. Two general approaches are presented to solve these equations. In the first approach, a dual fuzzy Sylvester matrix equation is transformed into a numeric linear system by Vec-operation and Kronecker product, where the dimension of the obtained system is much larger than the di-mension of original equation. In this reason, this method is not feasible for numerical solving of a dual fuzzy Sylvester matrix equation of a large dimension. In the second proposed approach, a dual fuzzy Sylvester matrix equation is transformed into two numeric Sylvester matrix equa-tions of the same dimensionality of the original problem. In the next step, a new iteration method is applied for solving the obtained numeric equations without using Vec-operation and Kronecker product. Finally, the efficiency and ability of the proposed method is illustrated by two numerical examples.