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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ibtesam Alshammari & Mani Parimala & Cenap Ozel & Muhammad Riaz & Rania Kammoun, 2022. "New MCDM Algorithms with Linear Diophantine Fuzzy Soft TOPSIS, VIKOR and Aggregation Operators," Mathematics, MDPI, vol. 10(17), pages 1-22, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3080-:d:898343
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    References listed on IDEAS

    as
    1. Aiyared Iampan & Gustavo Santos García & Muhammad Riaz & Hafiz Muhammad Athar Farid & Ronnason Chinram & Basil Papadopoulos, 2021. "Linear Diophantine Fuzzy Einstein Aggregation Operators for Multi-Criteria Decision-Making Problems," Journal of Mathematics, Hindawi, vol. 2021, pages 1-31, July.
    2. Harish Garg & Fathima Perveen P A & Sunil Jacob John & Luis Perez-Dominguez & Adiel T. de Almeida-Filho, 2022. "Spherical Fuzzy Soft Topology and Its Application in Group Decision-Making Problems," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-19, April.
    3. Muhammad Riaz & Hafiz Muhammad Athar Farid & Weiwei Wang & Dragan Pamucar, 2022. "Interval-Valued Linear Diophantine Fuzzy Frank Aggregation Operators with Multi-Criteria Decision-Making," Mathematics, MDPI, vol. 10(11), pages 1-36, May.
    Full references (including those not matched with items on IDEAS)

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