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Power Muirhead Mean Operators for Interval-Valued Linear Diophantine Fuzzy Sets and Their Application in Decision-Making Strategies

Author

Listed:
  • Tahir Mahmood

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Izatmand Haleemzai

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Zeeshan Ali

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Dragan Pamucar

    (Department of Logistics, Military Academy, The University of Defense in Belgrade, 11000 Belgrade, Serbia)

  • Dragan Marinkovic

    (Department of Structural Analysis, Faculty of Mechanical Engineering and Transport Systems, Technische Universität Berlin, 10623 Berlin, Germany
    Department of Transport and Logistics, Faculty of Mechanical Engineering, University of Nis, 18000 Nis, Serbia)

Abstract

It is quite beneficial for every company to have a strong decision-making technique at their disposal. Experts and managers involved in decision-making strategies would particularly benefit from such a technique in order to have a crucial impact on the strategy of their company. This paper considers the interval-valued linear Diophantine fuzzy (IV-LDF) sets and uses their algebraic laws. Furthermore, by using the Muirhead mean (MM) operator and IV-LDF data, the IV-LDF power MM (IV-LDFPMM) and the IV-LDF weighted power MM (IV-LDFWPMM) operators are developed, and some special properties and results demonstrated. The decision-making technique relies on objective data that can be observed. Based on the multi-attribute decision-making (MADM) technique, which is the beneficial part of the decision-making strategy, examples are given to illustrate the development. To demonstrate the advantages of the developed tools, a comparative analysis and geometrical interpretations are also provided.

Suggested Citation

  • Tahir Mahmood & Izatmand Haleemzai & Zeeshan Ali & Dragan Pamucar & Dragan Marinkovic, 2021. "Power Muirhead Mean Operators for Interval-Valued Linear Diophantine Fuzzy Sets and Their Application in Decision-Making Strategies," Mathematics, MDPI, vol. 10(1), pages 1-25, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2021:i:1:p:70-:d:711486
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