Author:
Shamil Ahmadov Shamil Ahmadov
Abstract
Fuzzy logic (fuzzy sets) possesses some widespread application in decision-making due to its ability to handle uncertainties in the implemented data and information. The application of fuzzy logic in decision-making usually involves the design of fuzzy rule-based systems. The functioning of the designed fuzzy systems can be compactly defined as the fuzzy inference process. One of the main steps of fuzzy inference is fuzzy implication, and, therefore, the selection of proper implication function possesses the great impact on the corresponding decision-making process. The currently reported research provides a comparative analysis on two fuzzy implications: Ali-2 and Zadeh. The reported research involves the application of an efficiency index and is performed on a real-world example.
Keywords: Fuzzy implication, If-Then rules, membership function, fuzzy set, efficiency index
Publisher
Education Support and Investment Fund NGO
Reference14 articles.
1. Klir, G.J., Yuan, B. Fuzzy sets and fuzzy logic. Theory and applications. Prentice Hall, New Jersey (1995).
2. Aliev, R.A., Aliev R.R. Soft Computing and its Application. World Scientific, New Jersey, London, Singapore, Hong Kong (2001).
3. Mas, M., Monserrat, M., Torrens, J., and Trillas E. “A survey on fuzzy implication functions,” IEEE Transactions on Fuzzy Systems 15, no. 6, pp. 1107–1121. (2007).
4. Mas, M., Monserrat, M., and Torrens, J. “QL-implications versus D-implications,” Kybernetika 42, pp. 351–366. (2006).
5. Massanet, S., and Torrens, J. “On a new class of fuzzy implications: h-Implications and generalizations,” Information Sciences 181, no. 11, pp. 2111–2127. (2011).