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On Interval-Valued Fuzzy Soft Preordered Sets and Associated Applications in Decision-Making

Author

Listed:
  • Mabruka Ali

    (Department of Mathematics and Statistics, Universiti Putra Malaysia UPM, Serdang 43400, Malaysia)

  • Adem Kılıçman

    (Department of Mathematics and Statistics, Universiti Putra Malaysia UPM, Serdang 43400, Malaysia
    Institute for Mathematical Research, University Putra Malaysia UPM, Serdang 43400, Malaysia)

Abstract

Recently, using interval-valued fuzzy soft sets to rank alternatives has become an important research area in decision-making because it provides decision-makers with the best option in a vague and uncertain environment. The present study aims to give an extensive insight into decision-making processes relying on a preference relationship of interval-valued fuzzy soft sets. Firstly, interval-valued fuzzy soft preorderings and an interval-valued fuzzy soft equivalence are established based on the interval-valued fuzzy soft topology. Then, two crisp preordering sets, namely lower crisp and upper crisp preordering sets, are proposed. Next, a score function depending on comparison matrices is expressed in solving multi-group decision-making problems. Finally, a numerical example is given to illustrate the validity and efficacy of the proposed method.

Suggested Citation

  • Mabruka Ali & Adem Kılıçman, 2021. "On Interval-Valued Fuzzy Soft Preordered Sets and Associated Applications in Decision-Making," Mathematics, MDPI, vol. 9(23), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3142-:d:696038
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    Cited by:

    1. Abid Khan & Miin-Shen Yang & Mirajul Haq & Ashfaq Ahmad Shah & Muhammad Arif, 2022. "A New Approach for Normal Parameter Reduction Using σ -Algebraic Soft Sets and Its Application in Multi-Attribute Decision Making," Mathematics, MDPI, vol. 10(8), pages 1-17, April.

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