MODELING DECISION MAKING SYSTEM ON THE BASIS OF Z-NUMBERS
DOI:
https://doi.org/10.65164/xb0pdy22Kalit so‘zlar:
Z-numbers, Mamdani model, fuzzy logic systems, aggregation, defusion, logical rule, fuzziness, cold-warm-hot and low-medium-highAbstrak
This article investigates the application of the Mamdani logical model based on the theory of Z-numbers. The levels of uncertainty and reliability that exist in traditional fuzzy logic systems are often expressed through only one parameter. Z-numbers, on the other hand, allow us to take into account not only the value of the information but also the level of reliability that exists in relation to it. The article constructs a logical model based on fuzzy sets of temperature and comfort (Cold–Warm–Hot and Low–Medium–High), mathematically expresses the Mamdani model enriched with Z-number methodology and presents the results of the calculations.
Havolalar
1. L.A. Zadeh, A note on Z-numbers, Inf. Sci. 181 (2011) 2923–2932.
2. R. Zhu, Q. Liu, C. Huang, B. Kang, Z-ACM: an approximate calculation method of Z-numbers
for large data sets based on kernel density estimation and its application in decision-making, Inf.
Sci. 610 (2022) 440–471
3. T. Wang, H. Li, X. Zhou, D. Liu, B. Huang, Three-way decision based on third-generation
prospect theory with Z-numbers, Inf. Sci. 569 (2021) 13–38.
4. Q. Wu, Y. Deng, N. Xiong, Exponential negation of a probability distribution, Soft Comput. 26
(2022) 2147–2156.
5. R.R. Yager, Element selection from a fuzzy subset using the fuzzy integral, IEEE Trans. Syst.
Man Cybern. 23 (1993) 467–477.
6. R.R. Yager, On the maximum entropy negation of a probability distribution, IEEE Trans. Fuzzy
Syst. 23 (2014) 1899–1902.
7. Y. Tian, L. Liu, X. Mi, B. Kang, ZSLF: a new soft likelihood function based on Z-numbers and
its application in expert decision system, IEEE Trans. Fuzzy Syst. 29 (2021) 2283–2295.
8. Y. Tian, X. Mi, H. Cui, P. Zhang, B. Kang, Using Z-number to measure the reliability of new
information fusion method and its application in pattern recognition, Appl. Soft Comput. 111
(2021) 107658.
