On the sensitivity of type-2 fuzzy signatures and the generalizations of the extension principle
| Autor: | László T. Kóczy, István Á. Harmati |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization Fuzzy classification Fuzzy set 02 engineering and technology Type-2 fuzzy sets and systems Fuzzy logic Defuzzification 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Fuzzy set operations Fuzzy number 020201 artificial intelligence & image processing Membership function Mathematics |
| Zdroj: | FUZZ-IEEE |
| Popis: | When the exact mathematical model is not known or too difficult to handle, fuzzy signatures are useful tools in modeling and analysis of complex systems. In these cases the input values naturally have uncertainties, due to lack of knowledge or human activities. These built-in uncertainties influence the final decision about the system. In this paper we deal with the issue when the input parameters are not crisp values, but nonnegative fuzzy numbers, so we discuss the sensitivity of type-2 fuzzy signatures which are equipped with the weighted general mean as aggregation operator. The uncertainty of the result depends on the applied extension of real function to fuzzy numbers, so we discuss the case of Zadeh's extension principle, t-norm based extension and joint possibility distribution based extension of real functions, too. |
| Databáze: | OpenAIRE |
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