- CConstantMembershipFunction
- CCompositeMembershipFunction
- CDifferencTwoSigmoidalMembershipFunction
- CGeneralizedBellShapedMembershipFunction
- CNormalCombinationMembershipFunction
- CNormalMembershipFunction
- CP_ShapedMembershipFunction
- CProductTwoSigmoidalMembershipFunctions
- CS_ShapedMembershipFunction
- CSigmoidalMembershipFunction
- CTrapezoidMembershipFunction
- CTriangularMembershipFunction
- CZ_ShapedMembershipFunction
- IMembershipFunction
Membership functions
A membership function is a function that allows to calculate the membership degree of a random element of the universal set to a fuzzy set. Consequently, the domain of a membership function should be within the range [0, 1].
In most cases, the membership function is continuous and monotonic.
Classes of membership functions |
Description |
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Class for implementing a membership function as a straight line in parallel with the coordinate axis |
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Class for implementing a composition of membership functions |
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Class for implementing the membership function in the form of a difference between two sigmoid functions with the A1, A2, C1 and C2 parameters |
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Class for implementing a generalized bell-shaped membership function with A, B and C parameters |
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Class for implementing a two-sided Gaussian membership function with the B1, B2, Sigma1 and Sigma2 parameters |
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Class for implementing a symmetrical Gaussian membership function with the B and Sigma parameters |
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Class for implementing a pi-shaped membership function with the A, B, C and D parameters |
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Class for implementing the membership function in the form of a product of two sigmoid functions with the A1, A2, C1 and C2 parameters |
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Class for implementing an S-like membership function with the A and B parameters |
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Class for implementing a trapezoidal membership function with the X1, X2, X3 and X4 parameters |
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Class for implementing a triangle membership function with the X1, X2 and X3 parameters |
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Class for implementing a sigmoid membership function with the A and C parameters |
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Class for implementing a z-like membership function with the A and B parameters. |
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Basic class for all membership function classes. |