توضیحات
ABSTRACT
As there are many possibilities to select the set of basic operators used in the fuzzy inference process, the search for the fuzzy operators that are most suitable for the different steps of a fuzzy system, their characterization and evaluation, can be included among the most important topics in the field of fuzzy logic. A better insight into the performances of the alternative operators would make it easier to develop a fuzzy application. In the present paper, the relevancy and relative importance of the operators involved in the fuzzy inference process are investigated by using a powerful statistical tool, the ANalysis Of the VAriance (ANOVA) [8]. The results obtained show that the defuzzifier and the T-norm operator are the most relevant factors in the fuzzy inference process. Moreover, this statistical analysis is able to establish a classification of the defuzzifiers and T-norms, according to their intrinsic characteristics. The conclusions here obtained justify the present interest, observed in many current papers, in studying both operators [6, 22-24, 33, 64, 67]. Futhermore, our results are confirmed by some experiments dealing with a real control application. @, 1999 Elsevier Science B.V. All rights reserved.
INTROCATION
Since Zadeh [68] introduced the theory of fuzzy sets, and the Minimum, the Maximum and the Complement as the operators on fuzzy sets, many alternative operators have been proposed in the specialized literature. Thus, providing a set of logical connectives for fuzzy sets constitutes a central issue in theoretical research and in the development of practical applications. There exist many possibil- ities to select the set of basic operations in the fuzzy inference process. Thus, there are several alternatives for the defuzzifier, to define the fuzzy implication operators, and to select the conjunction and disjunction operators, the set of membership functions to be used in the definition of the linguistic variables, and so on. For example, in [-47], 215 different configurations with the usual fuzzy primitives are considered. As is shown in papers dealing with real applications, the designer has to select the operator to be used in each phase, and this decision is usually taken in terms of the most common operations performed.
Year: 1997
Publisher : ELSEVIER
By : I. Rojas , J. Ortega, F.J. Pelayo, A. Prieto
File Information: English Language/17 Page / size:1,157 KB
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سال : 1997
ناشر : ELSEVIER
کاری از : I. Rojas , J. Ortega, F.J. Pelayo, A. Prieto
اطلاعات فایل : زبان انگلیسی / 17صفحه / حجم : KB 1,157
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