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/*
fuzzylite (R), a fuzzy logic control library in C++.
Copyright (C) 2010-2017 FuzzyLite Limited. All rights reserved.
Author: Juan Rada-Vilela, Ph.D. <jcrada@fuzzylite.com>
This file is part of fuzzylite.
fuzzylite is free software: you can redistribute it and/or modify it under
the terms of the FuzzyLite License included with the software.
You should have received a copy of the FuzzyLite License along with
fuzzylite. If not, see <http://www.fuzzylite.com/license/>.
fuzzylite is a registered trademark of FuzzyLite Limited.
*/
#ifndef FL_CONCAVE_H
#define FL_CONCAVE_H
#include "fl/term/Term.h"
namespace fl {
/**
The Concave class is an edge Term that represents the concave membership
function.
@image html concave.svg
@author Juan Rada-Vilela, Ph.D.
@see Term
@see Variable
@since 5.0
*/
class FL_API Concave : public Term {
private:
scalar _inflection, _end;
public:
explicit Concave(const std::string& name = "",
scalar inflection = fl::nan,
scalar end = fl::nan,
scalar height = 1.0);
virtual ~Concave() FL_IOVERRIDE;
FL_DEFAULT_COPY_AND_MOVE(Concave)
virtual std::string className() const FL_IOVERRIDE;
/**
Returns the parameters of the term as
@return `"inflection end [height]"`
*/
virtual std::string parameters() const FL_IOVERRIDE;
/**
Configures the term with the parameters given
@param parameters as `"inflection end [height]"`
*/
virtual void configure(const std::string& parameters) FL_IOVERRIDE;
virtual Complexity complexity() const FL_IOVERRIDE;
/**
Computes the membership function evaluated at @f$x@f$
@param x
@return @f$\begin{cases}
h \times (e - i) / (2e - i - x) & \mbox{if $i \leq e \wedge x < e$
(increasing concave)} \cr
h \times (i - e) / (-2e + i + x) & \mbox{if $i > e \wedge x > e$
(decreasing concave)} \cr
h & \mbox{otherwise} \cr
\end{cases}@f$
where @f$h@f$ is the height of the Term,
@f$i@f$ is the inflection of the Concave,
@f$e@f$ is the end of the Concave
*/
virtual scalar membership(scalar x) const FL_IOVERRIDE;
virtual scalar tsukamoto(scalar activationDegree,
scalar minimum, scalar maximum) const FL_IOVERRIDE;
virtual bool isMonotonic() const FL_IOVERRIDE;
/**
Sets the inflection of the curve
@param inflection is the inflection of the curve
*/
virtual void setInflection(scalar inflection);
/**
Gets the inflection of the curve
@return the inflection of the curve
*/
virtual scalar getInflection() const;
/**
Sets the end of the curve
@param end is the end of the curve
*/
virtual void setEnd(scalar end);
/**
Gets the end of the curve
@return the end of the curve
*/
virtual scalar getEnd() const;
virtual Concave* clone() const FL_IOVERRIDE;
static Term* constructor();
};
}
#endif /* FL_CONCAVE_H */
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