gamma_a.m

FISMAT accommodates different arithmetic operators, fuzzification and defuzzification algorithm, imp

function f = gamma_a(gamma,ua,ub)

% f = gamma_a(gamma,ua,ub)
%
% GAMMA operator - Zimmermann u. Zysno [1982].
% (also "compensatory and" operator called. 
% This operator is depending on gamma working between an AND 
% (no compensation) and OR (full compensation).
% This operator is not associative.
% gamma=0 => AND          gamma=1 => OR
%
% FSTB - Fuzzy Systems Toolbox for MATLAB
% Copyright (c) 1993-1996 by Olaf Wolkenhauer
% Control Systems Centre at UMIST
% Manchester M60 1QD, UK
%
% 24-Feb-1994
 
% Delete the following comments, if you want to use this operator with
% the compact trapezoidal form.
% [m,resx]=size(ua);
% Sets in compact trapeziodal form. Convert them in the appriote form.
% if m==4                        
%   resx=200;                    
%   [ua,ub]=fuz_conv(ua,ub,resx);
% end;

f = (ua.*ub).^(1-gamma).*(1-(1-ua).*(1-ub)).^gamma;