Foundations of the theory of fuzzy sets and fuzzy logic were formulated in 1965 by L.A. Zadeh [293]. This theory was introduced as a means for representing, manipulating, and utilizing data and information that possess nonstatistical uncertainty. Fuzzy logic provides inference mechanisms that ...
The theory of fuzzy sets was introduced in 1965 by Lotfi A. Zadeh as a generalization of the classical Cantorian set theory whose logical basis is the two-valued Boolean logic (compare also [Klaua 1965, 1967]). It was suggested in [Zadeh 1965] to use the minimumTM, the maximumSM, and...
In this article, we would like to revisit and comment on the definition of complementation of fuzzy sets and also on some of the theories and formulas associated with this. Furthermore, the existing probability-possibility consistency principles are also revisited and related results are viewed from...
Fuzzy set theory H.-J. Zimmermann∗ Since its inception in 1965, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found, for example, in artificial intelligence, computer science, medicine, control engineering, ...
1.(Mathematics)mathsthe branch of mathematics concerned with the properties and interrelationships of sets 2.(Logic)logica theory constructed within first-order logic that yields the mathematical theory of classes, esp one that distinguishes sets from proper classes as a means of avoiding certain parad...
The application of fuzzy sets has been advanced to treat imprecise and uncertain information. Fuzzy instruments can overcome the restrictions of classical quantitative methods when describing and defining problems of economic development, thus enabling a more exact approach to qualitative modeling. 展开 ...
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Fuzzy set theory 来自 学术范 喜欢 0 阅读量: 314 作者: HJ Zimmermann 摘要: Since its inception in 1965, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found, for example, in artificial intelligence, computer science, ...
摘要: In this paper first we are going to give a brief history of development of the fuzzy entropy. Finally new measures of entropy for fuzzy sets in continuous reference set are introduced. Also we compare discrete and continuous via an example....
We extend the usual notion of fuzzy set in such a way that the elements of fuzzy sets again can be fuzzy sets. For such fuzzy sets of higher level the fuzzy set theoretic operations are generalized up to the notion of a fuzzy mapping. In our presentation of the results we use a suitab...