?? gbellmf.m
字號:
function y = gbellmf(x, params)
%GBELLMF Generalized bell curve membership function.
% GBELLMF(X, PARAMS) returns a matrix which is the generalized bell
% membership function evaluated at X. PARAMS is a 3-element vector
% that determines the shape and position of this membership function.
% Specifically, the formula for this membership function is:
%
% GBELLMF(X, [A, B, C]) = 1./((1+ABS((X-C)/A))^(2*B));
%
% Note that this membership function is an extension to the Cauchy
% probability dist. function.
%
% For example:
%
% x = (0:0.1:10)';
% y1 = gbellmf(x, [1 2 5]);
% y2 = gbellmf(x, [2 4 5]);
% y3 = gbellmf(x, [3 6 5]);
% y4 = gbellmf(x, [4 8 5]);
% subplot(211); plot(x, [y1 y2 y3 y4]);
% y1 = gbellmf(x, [2 1 5]);
% y2 = gbellmf(x, [2 2 5]);
% y3 = gbellmf(x, [2 4 5]);
% y4 = gbellmf(x, [2 8 5]);
% subplot(212); plot(x, [y1 y2 y3 y4]);
% set(gcf, 'name', 'gbellmf', 'numbertitle', 'off');
%
% See also DSIGMF, EVALMF, GAUSS2MF, GAUSSMF, MF2MF, PIMF, PSIGMF, SIGMF, SMF,
% TRAPMF, TRIMF, ZMF.
% Roger Jang, 6-28-93, 10-5-93.
% Copyright 1994-2002 The MathWorks, Inc.
% $Revision: 1.22 $ $Date: 2002/04/14 22:20:41 $
if nargin ~= 2
error('Two arguments are required by the generalized bell MF.');
elseif length(params) < 3
error('Generalized bell MF needs at least three parameters.');
elseif params(1) == 0,
error('Illegal parameter in gbellmf() --> a == 0');
end
a = params(1); b = params(2); c = params(3);
tmp = ((x - c)/a).^2;
if (tmp == 0 & b == 0)
y = 0.5;
elseif (tmp == 0 & b < 0)
y = 0;
else
tmp = tmp.^b;
y = 1./(1 + tmp);
end
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