Logic connectives of complex fuzzy sets

Ngan, Tran Thi and Lan, Luong Thi Hong and Ali, Mumtaz and Tamir, Dan and Son, Le Hoang and Tuan, Tran Manh and Rishe, Naphtali and Kandel, Abe (2018) Logic connectives of complex fuzzy sets. Romanian Journal of Information Science and Technology, 21 (4). pp. 344-357. ISSN 1453-8245

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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 20 Feb 2019 02:52
Last Modified: 22 Feb 2019 00:33
Uncontrolled Keywords: fuzzy sets; complex fuzzy sets; t-norm and t-conorm; complex fuzzy t-norms and t-conorms; multi-criteria decision making problem
Fields of Research : 08 Information and Computing Sciences > 0801 Artificial Intelligence and Image Processing > 080105 Expert Systems
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080201 Analysis of Algorithms and Complexity
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/35507

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