Logic connectives of complex fuzzy sets
Article
Article Title | Logic connectives of complex fuzzy sets |
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Article Category | Article |
Authors | Ngan, Tran Thi (Author), Lan, Luong Thi Hong (Author), Ali, Mumtaz (Author), Tamir, Dan (Author), Son, Le Hoang (Author), Tuan, Tran Manh (Author), Rishe, Naphtali (Author) and Kandel, Abe (Author) |
Journal Title | Romanian Journal of Information Science and Technology |
Journal Citation | 21 (4), pp. 344-357 |
Number of Pages | 14 |
Year | 2018 |
Place of Publication | Romania |
Web Address (URL) | http://www.romjist.ro/full-texts/paper606.pdf |
Abstract | The Fuzzy Set Theory has been applied in various problems in numerous fields. In particular, the concepts of t-norms and t-conorms serve a significant role in shaping the theory and its applications. The notion of Complex Fuzzy Sets extends the Fuzzy Set Theory and provides several advantages over the classical theory, especially in terms of the capability to concisely, efficiently, and accurately represent complex relations between fuzzy set components. Some of the areas where complex fuzzy sets have been successfully applied are the areas of time series analysis and multi-criteria decision making problems. The notions of complex t-norms and t-conorms have not been fully developed so far. In this paper, we present the complex fuzzy set forms of t-norms and t-conorms and detail their properties. Additionally, we provide two numerical examples of applying the complex t-norm and tconorm to multi-criteria decision making in the context of medicine- related problems using medical datasets. |
Keywords | fuzzy sets; complex fuzzy sets; t-norm and t-conorm; complex fuzzy t-norms and t-conorms; multi-criteria decision making problem |
ANZSRC Field of Research 2020 | 460510. Recommender systems |
461399. Theory of computation not elsewhere classified | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Thuyloi University, Vietnam |
Graduate University of Science and Technology, Vietnam | |
School of Agricultural, Computational and Environmental Sciences | |
Texas State University, United States | |
Vietnam National University, Vietnam | |
Florida International University, United States | |
University of South Florida, United States | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q5074/logic-connectives-of-complex-fuzzy-sets
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