m-Polar N-soft set and its application in multi-criteria decision-making: m-Polar N-soft set and its application..: H. Kamacı et al.

KAMACI H., Palpandi B., Petchimuthu S., Fathima Banu M.

Computational and Applied Mathematics, cilt.44, sa.1, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s40314-024-03029-2
  • Dergi Adı: Computational and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, zbMATH
  • Anahtar Kelimeler: M-parameterized N-soft set, m-Polar N-soft set, Multi-criteria decision-making, N-soft set, Soft set
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

This study introduces an innovative model termed the m-polar N-soft set, designed to meet the urgent need for evaluating decision-making criteria using integers in a multi-polar fashion. Unlike existing models such as soft sets and N-soft sets, which use binary and integer values respectively in a single polar manner, the proposed model enables decision-makers to utilize integers multi-polarly. The paper explores various operations on m-polar N-soft sets, including union, intersection, addition, subtraction, complements, and Product/Sum operations. These operations are elucidated through real-life examples to highlight their properties. Additionally, the study presents two multi-criteria decision-making algorithms, catering to both weighted and non-weighted scenarios, with a practical application included. A comparative analysis between the proposed and existing approaches demonstrates the efficacy and stability of the proposed model, supported by graphical visualization. In conclusion, the m-polar N-soft set model not only generalizes existing models but also offers enhanced accuracy for solving real-life multi-criteria decision-making problems.