Strait fuzzy sets, strait fuzzy rough sets and their similarity measures-based decision making systems

Atagün A. O., KAMACI H.

International Journal of Systems Science, vol.54, no.12, pp.2519-2535, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 12
  • Publication Date: 2023
  • Doi Number: 10.1080/00207721.2023.2233971
  • Journal Name: International Journal of Systems Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.2519-2535
  • Keywords: decision making, Fuzzy set, rough set, similarity measure, strait fuzzy rough set, strait fuzzy set
  • Yozgat Bozok University Affiliated: Yes


In this paper, a new uncertainty modelling concept called strait fuzzy set is introduced, which brings new perspectives to both theoretical and practical advances in fuzzy mathematics. This set type allows objects/points to be graded with fuzzy membership intervals that are partitions of [0,1] (so that the union of these partitions is [0,1] and their intersection is empty) instead of fuzzy membership degrees represented as exact values in [0,1]. Moreover, some basic operations and properties of strait fuzzy sets are studied in detail. The concept of strait fuzzy rough set is put forward and its theoretical aspects are discussed. In addition, two different similarity approaches are proposed for strait fuzzy sets and strait fuzzy rough sets, and applied to measure the similarity rates of vaccines against influenza viruses.