New MCDM Algorithms with Linear Diophantine Fuzzy Soft TOPSIS, VIKOR and Aggregation Operators

Ibtesam Alshammari (), Mani Parimala, Cenap Ozel (), Muhammad Riaz and Rania Kammoun
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Ibtesam Alshammari: Department of Mathematics, Faculty of Science, University of Hafr Al Batin, Hafar Al-Batin 31991, Saudi Arabia
Mani Parimala: Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam 638401, India
Cenap Ozel: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Muhammad Riaz: Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan
Rania Kammoun: Department of Mathematics, Faculty of Science, University of Hafr Al Batin, Hafar Al-Batin 31991, Saudi Arabia

Mathematics, 2022, vol. 10, issue 17, 1-22

Abstract: In this paper, we focus on several ideas associated with linear Diophantine fuzzy soft sets (LDFSSs) along with its algebraic structure. We provide operations on LDFSSs and their specific features, elaborating them with real-world examples and statistical depictions to construct an inflow of linguistic variables based on linear Diophantine fuzzy soft (LDFSS) information. We offer a study of LDFSSs to the multi-criteria decision-making (MCDM) process of university determination, together with new algorithms and flowcharts. We construct LDFSS-TOPSIS, LDFSS-VIKOR and the LDFSS-AO techniques as robust extensions of TOPSIS (a technique for order preferences through the ideal solution), VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje) and AO (aggregation operator). We use the LDFSS-TOPSIS, LDFSS-VIKOR and LDFSS-AO techniques to solve a real-world agricultural problem. Moreover, we present a small-sized robotic agri-farming to support the proposed technique. A comparison analysis is also performed to examine the symmetry of optimal decision and to analyze the efficiency of the suggested algorithms.

Keywords: linear Diophantine fuzzy soft sets; MCDM; linear Diophantine fuzzy soft topological spaces; symmetry; LDFSS-TOPSIS; LDFSS-VIKOR; LDFSS-AO (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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