fuzzy operator

Collaboration diagram for fuzzy operator:

Functions
double	a_fuzzy_not (double x)
	complementary operator
double	a_fuzzy_cap (double a, double b)
	fuzzy intersection operator
double	a_fuzzy_cap_algebra (double a, double b)
	algebraic product operator
double	a_fuzzy_cap_bounded (double a, double b)
	bounded product operator
double	a_fuzzy_cup (double a, double b)
	fuzzy union operator
double	a_fuzzy_cup_algebra (double a, double b)
	algebraic sum operator
double	a_fuzzy_cup_bounded (double a, double b)
	bounded sum operator
double	a_fuzzy_equ (double a, double b)
	equilibrium operator
double	a_fuzzy_equ_ (double gamma, double a, double b)
	equilibrium operator

Detailed Description

Function Documentation

a_fuzzy_cap()

double a_fuzzy_cap	(	double	a,
		double	b )

fuzzy intersection operator

Parameters

[in]	a	left-hand operand
[in]	b	right-hand operand

Returns

= \( \min(a,b) \)

a_fuzzy_cap_algebra()

double a_fuzzy_cap_algebra	(	double	a,
		double	b )

algebraic product operator

Parameters

[in]	a	left-hand operand
[in]	b	right-hand operand

Returns

= \( ab \)

a_fuzzy_cap_bounded()

double a_fuzzy_cap_bounded	(	double	a,
		double	b )

bounded product operator

Parameters

[in]	a	left-hand operand
[in]	b	right-hand operand

Returns

= \( \max(a+b-1,0) \)

a_fuzzy_cup()

double a_fuzzy_cup	(	double	a,
		double	b )

fuzzy union operator

Parameters

[in]	a	left-hand operand
[in]	b	right-hand operand

Returns

= \( \max(a,b) \)

a_fuzzy_cup_algebra()

double a_fuzzy_cup_algebra	(	double	a,
		double	b )

algebraic sum operator

Parameters

[in]	a	left-hand operand
[in]	b	right-hand operand

Returns

= \( a+b-ab \)

a_fuzzy_cup_bounded()

double a_fuzzy_cup_bounded	(	double	a,
		double	b )

bounded sum operator

Parameters

[in]	a	left-hand operand
[in]	b	right-hand operand

Returns

= \( \min(a+b,1) \)

a_fuzzy_equ()

double a_fuzzy_equ	(	double	a,
		double	b )

equilibrium operator

Parameters

[in]	a	left-hand operand
[in]	b	right-hand operand

Returns

= \( \sqrt{ab}\sqrt{1-(1-a)(1-b)} \)

a_fuzzy_equ_()

double a_fuzzy_equ_	(	double	gamma,
		double	a,
		double	b )

equilibrium operator

Parameters

[in]	gamma	gamma operator
[in]	a	left-hand operand
[in]	b	right-hand operand

Returns

= \( (ab)^{1-\gamma}(1-(1-a)(1-b))^{\gamma} \)

a_fuzzy_not()

double a_fuzzy_not

(

double

x

)

complementary operator

Parameters

[in]

x

membership

Returns

= \( 1-x \)