Interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft matrices and their application to performance-based value assignment to noise-removal filters

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Aydın T., Enginoğlu S.

COMPUTATIONAL AND APPLIED MATHEMATICS, vol.41, no.192, pp.1-45, 2022 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 41 Issue: 192
  • Publication Date: 2022
  • Doi Number: 10.1007/s40314-022-01893-4
  • Journal Name: COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, zbMATH
  • Page Numbers: pp.1-45
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

Recently, the concept of interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft sets (d-sets) has successfully modelled decision-making problems, where the parameters and alternatives have interval-valued intuitionistic fuzzy values. In the present study, to be able to transfer a large number of data in such problems to a computer environment and to process them therein, we define the concept of interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft matrices (d-matrices). Moreover, we introduce operations, such as union, intersection, and AND/OR/ANDNOT/ORNOT products, on this concept and study some of their basic properties. We then configure the state-of-the-art soft decision-making (SDM) method constructed by d-sets to render it operable in d-matrices space. Furthermore, we apply it to a performance-based value assignment (PVA) to the seven noise removal filters to compare their ranking orders. Thereafter, we conduct a comparative analysis of the configured method with five state-of-the-art SDM methods. Finally, we discuss d-matrices for future research.