Dominance index- A new perspective for decision-making using dual hesitant fuzzy soft sets

Authors

  • Deepa V Assistant Professor, Department of Mathematics, Government College Mokeri, Kozhikode, Kerala India-673507 https://orcid.org/0000-0001-6257-1368
  • Athira T M Assistant Professor, Department of Mathematics, Manipal institute of Technology, Manipal Academy of Higher Education, Karnataka, India-576104. https://orcid.org/0000-0001-5358-233X
  • Manjunath AS Associate Professor, Department of Applied Science, RIT- Govt. Engineering College Kottayam, Velloor P O, Kerala-686501 https://orcid.org/0000-0002-0853-4328
  • Sunil Jacob John Professor, Department of Mathematics, National institute of Technology calicut, Kerala, India-673601 https://orcid.org/0000-0002-6333-2884

Keywords:

Decision-Making, Dual Hesitant Fuzzy Soft Set, Dominance Index, Ranking, MCDM

Abstract

The dual hesitant fuzzy soft set (DHFSS), a hybrid structure of a dual hesitant fuzzy set and a soft set, is highly effective in handling membership and non-membership values using a set of possible values. This article explores an entirely different application of DHFSS for representing preliminary data involved in decision-making problems. Moreover, an innovative measure for comparing DHFSSs, namely the Dominance Index, which determines the dominance of one DHFSS over another, is presented. Furthermore, a linear algebraic approach, integrated with the Dominance Index of a dual hesitant fuzzy element, is proposed for solving decision-making problems. Finally, a real-life decision-making problem involving the evaluation of mobile tower work sites based on the performance of their workers is presented and solved using the proposed method to demonstrate its applicability.

Vol. 8(2) (2025): International Journal of Maps in Mathematics

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Published

2025-09-28

How to Cite

Deepa V, Athira T M, Manjunath AS, & Sunil Jacob John. (2025). Dominance index- A new perspective for decision-making using dual hesitant fuzzy soft sets. International Journal of Maps in Mathematics, 8(2), 534–566. Retrieved from https://simadp.com/journalmim/article/view/289

Issue

Vol. 8 No. 2 (2025): International Journal of Maps in Mathematics

Section

Articles

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