Yazar "Razzaque, Abdul" seçeneğine göre listele

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    Öğe
    Dynamical behavior of cancer cell densities in two dimensional domain by the representation theory of solitons
    (Elsevier, 2023) Iqbal, Muhammad Sajid; Ahmed, Nauman; Naeem, Rishi; Akgul, Ali; Razzaque, Abdul; Inc, Mustafa; Khurshid, Hina
    This article analyzes the mathematical model which is described by the nonlinear partial differential equation governing the density of cancer cells at any position (x, y) in the open bounded subset of the plane at any time t. This is a two-dimensional model that describes the dynamics of cancer cells under radiotherapy and its comparison with the one in the absence of radiation effects. The 06-model expansion method has been used to find the exact solutions of the underlying problem. The simulation of obtained results have also been argued.(c) 2023 Elsevier B.V. All rights reserved.
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    Öğe
    Einstein Aggregation Operators under Bipolar Neutrosophic Environment with Applications in Multi-Criteria Decision-Making
    (Mdpi, 2022) Jamil, Muhammad; Afzal, Farkhanda; Akgul, Ali; Abdullah, Saleem; Maqbool, Ayesha; Razzaque, Abdul; Riaz, Muhammad Bilal
    In this article, we introduce bipolar neutrosophic (BN) aggregation operators (AOs) as a revolutionary notion in aggregation operators (AOs) by applying Einstein operations to bipolar neutrosophic aggregation operators (AOs), with its application related to a real-life problem. The neutrosophic set is able to drawout the incomplete, inconsistent and indeterminate information pretty efficiently. Initially, we present essential definitions along with operations correlated to the neutrosophic set (NS) and its generalization, the bipolar neutrosophic set (BNS). The Einstein aggregation operators are our primary targets, such asthe BN Einstein weighted average (BNEWA), BN Einstein ordered weighted average (BNEOWA), BN Einstein hybrid average (BNEHA), BN Einstein weighted geometric (BNEWG), BN Einstein ordered weighted geometric (BNEOWG) and BN Einstein hybrid geometric (BNEHG), as well as their required properties. The most important benefit of using the suggested approaches is that they provide decision-makers with complete sight of the issue. These techniques, when compared to other methods, provide complete, progressive and precise findings. Lastly, by means of diverse types of newly introduced aggregation operators and a numerical illustration by an example, we suggest an innovative method to be used for multi-criteria community decision-making (DM). This illustrates the utility and applicability of this new strategy when facing real-world problems.