Yazar "Shahriari, M. R." seçeneğine göre listele

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    Fuzzy Laplace transform method for a fractional fuzzy economic model based on market equilibrium
    (Elsevier Science Inc, 2024) Babakordi, Fatemeh; Allahviranloo, Tofigh; Shahriari, M. R.; Catak, Muammer
    Fuzzy fractional models are of interest because they are very effective in describing real -world problems, but the analytical investigation of these models is often complex. Therefore, presenting a practical method for the analytical solution of these models is of particular importance. Hence, in this paper, first, the Laplace transform of the fuzzy ABC fractional derivative and its properties are introduced using the strongly generalized Hukuhara differentiability concept, and an analytical method for solving the fuzzy ABC fractional differential equation based on the Laplace transform is proposed. In the following, to show the comprehensiveness and appropriateness of the method, since the parameters are imprecise and ambiguous in economic problems, the price adjustment equation is modeled in the form of a fuzzy ABC fractional differential equation using the fuzzy ABC fractional derivative, and the fuzzy price for the adjustment equation is obtained using the proposed analytical fuzzy price. Finally, the effectiveness of the proposed approach is demonstrated with numerical examples.
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    The Investigation of Some Essential Concepts of Extended Fuzzy-Valued Convex Functions and Their Applications
    (Hindawi Ltd, 2024) Allahviranloo, T.; Shahryari, M. R. Balooch; Sedaghatfar, O.; Shahriari, M. R.; Saadati, R.; Noeiaghdam, S.; Fernandez-Gamiz, U.
    In this paper, we are thus motivated to define and introduce the extended fuzzy-valued convex functions that can take the singleton fuzzy values -infinity similar to and +infinity similar to at some points. Such functions can be characterized using the notions of effective domain and epigraph. In this way, we study important concepts such as fuzzy indicator function and fuzzy infimal convolution for extended fuzzy-valued functions. Finally, we introduce the concept of directional generalized derivative for extended above functions and its properties. Eventually, we give a practical example that will illustrate well the directional g-derivative for the extended fuzzy-valued convex function.