Soft Decision-Making Methods Employing Multiple ifpifs-Matrices and Their Application

Arslan B., Aydın T., Memiş S., ENGİNOĞLU S.

Boletim da Sociedade Paranaense de Matematica, vol.43, 2025 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 43
  • Publication Date: 2025
  • Doi Number: 10.5269/bspm.66696
  • Journal Name: Boletim da Sociedade Paranaense de Matematica
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Keywords: Fuzzy sets, ifpifs-matrices, intuitionistic fuzzy sets, soft decision making, soft sets
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

The present study generalizes 36 soft decision-making (SDM) methods employing multiple fuzzy parameterized fuzzy soft matrices (fpfs-matrices) to operable in the intuitionistic fuzzy parameterized intuitionistic fuzzy soft matrices (ifpifs-matrices) space and obtains 44 SDM methods containing several variants of the aforesaid methods. It then compares all the SDM methods herein using three ifpifs-matrices for each test case proposed by the authors’ previous study. The comparison shows that 23 of 44 passed all the test cases. Moreover, this study applies the 23 SDM methods to a performance-based value assignment (PVA) problem in which seven well-known salt-and-pepper noise removal filters used in digital images are considered. The results manifest that 10 of 23 produce the same ranking order at the high noise density, just as 8 of 23 do at the low noise density. Finally, this study discusses SDM methods’ applications and the need for further research.