single-valued constant membership function

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Maria
Maria 2014-12-13
评论： Truong Nhu 2019-12-31
hi
how to define the output fuzzy set as fuzzy singletons - which mean's that the output membership function is single-valued constant as in picture below .
So in Matlab for example I want to set "PS" MF to 4 , Which type of MF should I choose and which value or Params[ ] should I set to it?
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Siddhant Gudhe
Siddhant Gudhe 2015-8-17
Maria, use triangular membership function only( trimf), but instead of defining its params as [-20 0 20], make it as [20 20 20]. You will get an singleton membership function at 20.
Truong Nhu
Truong Nhu 2019-12-31
Thank you so much Siddhant Gudhe, you're right !

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回答（3 个）

Image Analyst
Image Analyst 2014-12-14
Perhaps this:
function test2
clc;
for k = 1 : 20
x = randi(20, 1, 1); % Get random input value.
mf = SetMembership(x); % Find out which it's closest to.
fprintf('%d is closest to %d\n', x, mf);
end
function mf = SetMembership(x)
% Define values for NB through PB.
dividers = -12 : 4 : 12; % -12, -8, -4, 0, 4, 8, 12
% Find out which one x is closest to
distances = abs(dividers - x);
% Find the min distance and what index it occurs at
[minDistance, indexOfMin] = min(distances);
% return the value of the dividers at that index
mf = dividers(indexOfMin);
Output:
16 is closest to 12
14 is closest to 12
8 is closest to 8
20 is closest to 12
15 is closest to 12
13 is closest to 12
19 is closest to 12
13 is closest to 12
16 is closest to 12
18 is closest to 12
16 is closest to 12
5 is closest to 4
13 is closest to 12
14 is closest to 12
16 is closest to 12
12 is closest to 12
15 is closest to 12
8 is closest to 8
14 is closest to 12
7 is closest to 8
Liyana
Liyana 2017-3-27
you could choose linear or constant type of mf
kohila ramkumar
kohila ramkumar 2018-6-5
IF YOU ARE CREATE SUGENO FUZZY SYSTEM. IT IS HAVING CONSTANT MEMBERSHIP FUNCTION

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