Membership function (mathematics)

Known as: Fuzzy membersip 
The membership function of a fuzzy set is a generalization of the indicator function in classical sets. In fuzzy logic, it represents the degree of… (More)
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Related topics

Related topics

9 relations
Decision theoryDefuzzificationDegree of truthFuzzy measure theory
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Broader (1)

Fuzzy logic

Papers overview

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Highly Cited
2013
Highly Cited
2013
Why Triangular Membership Functions Work Well in F-Transform : A Theoretical Explanation
In many practical applications, it is useful to represent a signal or an image by its average values on several fuzzy sets. The… (More)
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Highly Cited
2011
Highly Cited
2011
Polynomial Fuzzy-Model-Based Control Systems: Stability Analysis Via Piecewise-Linear Membership Functions
This paper presents the stability analysis of polynomial fuzzy-model-based (PFMB) control systems using the sum-of-squares (SOS… (More)
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Highly Cited
2011
Highly Cited
2011
Per-pixel vs. object-based classification of urban land cover extraction using high spatial resolution imagery
a School of Geographical Sciences and Urban Planning, Arizona State University, P.O. Box 875302, Tempe, AZ 85287-5302, United… (More)
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Highly Cited
2010
Highly Cited
2010
Quadratic-Stability Analysis of Fuzzy-Model-Based Control Systems Using Staircase Membership Functions
This paper presents the stability analysis of fuzzy-model-based (FMB) control systems. Staircase membership functions are… (More)
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2006
2006
Interpolation with function space representation of membership functions
This paper generalizes a previous Cartesian approach for interpolating fuzzy rules comprised of membership functions with finite… (More)
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Highly Cited
2005
Highly Cited
2005
On fuzzy goal programming with piecewise linear membership functions
This paper deals with the adaptation to fuzzy goal programming of the most used methods to formulate, as a linear programming… (More)
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Highly Cited
1999
Highly Cited
1999
A new method for constructing membership functions and fuzzy rules from training examples
To extract knowledge from a set of numerical data and build up a rule-based system is an important research topic in knowledge… (More)
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1998
1998
Fuzzy-rough membership functions
This paper generalizes the concepts of rough membership functions in pattern classification tasks to fuzz rough membership… (More)
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Highly Cited
1996
Highly Cited
1996
Induction of fuzzy rules and membership functions from training examples
Most fuzzy controllers and fuzzy expert systems must predefine membership functions and fuzzy inference rules to map numeric data… (More)
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Highly Cited
1995
Highly Cited
1995
Simultaneous design of membership functions and rule sets for fuzzy controllers using genetic algorithms
This paper examines the applicability of genetic algorithms (GA’s) in the simultaneous design of membership functions and rule… (More)
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