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2022
In applications of fuzzy techniques to several practical problems -- in particular, to the problem of predicting passenger flows in the airports -- the most efficient membership function is a sine function; to be precise, a portion of a sine function between the two zeros. In this paper, we provide a theoretical explanation for this empirical success.
Holguin, Sofia +4 more
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In applications of fuzzy techniques to several practical problems -- in particular, to the problem of predicting passenger flows in the airports -- the most efficient membership function is a sine function; to be precise, a portion of a sine function between the two zeros. In this paper, we provide a theoretical explanation for this empirical success.
Holguin, Sofia +4 more
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2005
An efficient method for learning membership functions for fuzzy predicates is presented. Positive and negative examples of one class are given together with a system of classification rules. The learned membership functions can be used for the fuzzy predicates occurring in the given rules to classify further examples.
Bergadano F, CUTELLO, Vincenzo
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An efficient method for learning membership functions for fuzzy predicates is presented. Positive and negative examples of one class are given together with a system of classification rules. The learned membership functions can be used for the fuzzy predicates occurring in the given rules to classify further examples.
Bergadano F, CUTELLO, Vincenzo
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Why Cauchy Membership Functions: Reliability
Advances in Artificial Intelligence and Machine Learning, 2022An important step in designing a fuzzy system is the elicitation of the membership functions for the fuzzy sets used. Often the membership functions are obtained from data in a traininglike manner. They are expected to match or be at least compatible with those obtained from experts knowledgeable of the domain and the problem being addressed.
Javier Viaña +4 more
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Incremental Membership Function Updates
2010Many fuzzy applications today are based on large databases that change dynamically. Particularly, in many flexible querying systems this represents a huge problem, since changing data may lead to poor results in the absence of proper retraining. In this paper we propose a novel incremental approach to represent the membership functions describing the ...
Narjes Hachani +2 more
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Why triangular membership functions?
Fuzzy Sets and Systems, 1994Abstract In this note we look at a certain theoretically sound motivation behind the common use of triangular (and trapezoidal) membership functions. The studies are completed within a conceptual framework of fuzzy modelling whose structure comprises of input and output interfaces linked with a single transformation module aimed at processing ...
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Combining belief functions and fuzzy membership functions
SPIE Proceedings, 2003In several practical applications of data fusion and more precisely in object identification problems, we need to combine imperfect information coming from different sources (sensors, humans, etc.), the resulting uncertainty being naturally of different kinds.
Mihai C. Florea +3 more
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Membership Functions Generation Based on Density Function
2008 International Conference on Computational Intelligence and Security, 2008Fuzzy membership functions are considered as a key element in fuzzy systems. In order to generate a fuzzy membership function, there are two potential sources: expert knowledge and real data. However expert knowledge acquisition is a difficult issue, on the other hand using real data needs a methodology to translate real data to membership function ...
Imen Derbel +2 more
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Construction of differentiable membership functions
Fuzzy Sets and Systems, 1999In many applications of fuzzy controller it is essential to have a smooth transfer function. Therefore it is desirable to form smooth membership functions with only few parameters. The authors propose a class of symmetrical and asymmetrical membership functions of exponential type.
Grauel, A., Ludwig, L. A.
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2000
The chapter presents basic concepts and methods used in defining membership functions of fuzzy sets. Usual problems of fuzzy set applications connected with the universe of discourse, shape, and accuracy of membership functions as well as with their acquisition are discussed.
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The chapter presents basic concepts and methods used in defining membership functions of fuzzy sets. Usual problems of fuzzy set applications connected with the universe of discourse, shape, and accuracy of membership functions as well as with their acquisition are discussed.
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Scaling the membership function
European Journal of Operational Research, 1986This paper contains an axiomatic treatment of the measurement of the fuzzy set membership function based on the measurement methodology of the Analytic Hierarchy Process (AHP). The set of axioms corresponding to hierarchic structures are a special case of axioms for priority setting in systems with feedback which allow for a wide class of dependencies.
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