Weighted trapezoidal approximation-preserving cores of a fuzzy number
| Autor: | Tayebeh Hajjari, Saeid Abbasbandy |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Discrete mathematics
Fuzzy classification Fuzzy measure theory Mathematics::General Mathematics Fuzzy subalgebra Fuzzy numbers Trapezoidal fuzzy numbers Weighted approximation Defuzzification Fuzzy logic Computational Mathematics Computational Theory and Mathematics Modeling and Simulation Modelling and Simulation Applied mathematics Fuzzy set operations Fuzzy number Fuzzy associative matrix Core of fuzzy number Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 59(9):3066-3077 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2010.02.026 |
| Popis: | Recently, various researchers have proved that approximations of fuzzy numbers may fail to be fuzzy numbers. In this contribution, we suggest a new weighted trapezoidal approximation of an arbitrary fuzzy number, which preserves its cores. We prove that the weighted trapezoidal approximation-preserving core is always a fuzzy number. We then discuss properties of the approximation strategy including translation invariance, scale invariance identity and continuity. The advantage is that the method presented here is simpler than other methods computationally. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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