Browsing by Author "Ahsan, Muhammad"

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Citation - WoS: 11
Citation - Scopus: 18
An Approach of Decision-Making Under the Framework of Fermatean Fuzzy Sets
(Hindawi Ltd, 2022) Ahsan, Muhammad; Jarad, Fahd; Altunok, Taner; Sindhu, Muhammad Sarwar; Siddique, Imran
Because of its influence on various elements of human life experiences and conditions, the building industry is a significant business. In the recent past, environmental considerations have been incorporated in the design and planning stages of building supply chains. The process of evaluating and selecting suppliers is one of the most important issues in supply chain management. A multicriteria decision-making (MCDM) problem can be utilized to handle such issues. The goal of this research is to present a new and efficient technique for selecting suppliers with ambiguous data. The suggested methodology's structure is based on technology for order of preference by similarity to ideal solution (TOPSIS), with Fermatean fuzzy sets (F-r FSs) employed to cope with information uncertainty. In this article, authors modified the distance between F-r FSs to propose the similarity measure and implemented it to form the MCDM model to resolve the vague and uncertain data. Moreover, we used this similarity measure to choose the optimal alternative. A practical example for alternative selection is provided, along with a comparison of the acquired findings to existing approach. Finally, to strengthen the outcome obtained through the proposed model, sensitivity analysis and time complexity analysis are performed.
Citation - WoS: 11
Citation - Scopus: 18
A Modified Algorithm Based on Haar Wavelets for the Numerical Simulation of Interface Models
(Wiley, 2022) Jarad, Fahd; Rana, Gule; Al-Mdallal, Qasem; Asif, Muhammad; Haider, Nadeem; Bilal, Rubi; Ahsan, Muhammad
In this paper, a new numerical technique is proposed for the simulations of advection-diffusion-reaction type elliptic and parabolic interface models. The proposed technique comprises of the Haar wavelet collocation method and the finite difference method. In this technique, the spatial derivative is approximated by truncated Haar wavelet series, while for temporal derivative, the finite difference formula is used. The diffusion coefficients, advection coefficients, and reaction coefficients are considered discontinuously across the fixed interface. The newly established numerical technique is applied to both linear and nonlinear benchmark interface models. In the case of linear interface models, Gauss elimination method is used, whereas for nonlinear interface models, the nonlinearity is removed by using the quasi-Newton linearization technique. The L & INFIN; errors are calculated for different number of collocation points. The obtained numerical results are compared with the immersed interface method. The stability and convergence of the method are also discussed. On the whole, the numerical results show more efficiency, better accuracy, and simpler applicability of the newly developed numerical technique compared to the existing methods in literature.