Fuzzy Parameterized Fuzzy Soft Matrices and Their Application in Decision Making

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Enginoğlu S., Çağman N.

TWMS Journal of Applied and Engineering Mathematics, vol.10, no.4, pp.1105-1115, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2020
  • Journal Name: TWMS Journal of Applied and Engineering Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1105-1115
  • Keywords: Fuzzy sets, soft sets, soft matrices, fpfs-matrices, prevalence effect method, SWITCHING MEDIAN FILTER, SET-THEORY, NOISE, SALT
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

In this study, we define the concept of fuzzy parameterized fuzzy soft matrices (fpfs-matrices) and present some of their basic properties. By using fpfs-matrices, we then suggest a new algorithm, i.e. Prevalence Effect Method (PEM), and apply this method to a performance-based value assignment, so that we can order noise removal filters regarding performance. The results show that PEM has potential for several areas, such as machine learning and image processing. Finally, we discuss fpfs-matrices and PEM for further research.