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How to plot membership function of fuzzy logic in 3D

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I would like to plot these figures attached in 3D using isosurface.
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Sam Chak
Sam Chak on 21 Dec 2023
isosurface() requires the volume data V. Do you have the data for such Type-3 Fuzzy Sets?
help isosurface
ISOSURFACE Isosurface extractor. FV = ISOSURFACE(X,Y,Z,V,ISOVALUE) computes isosurface geometry for data V at isosurface value ISOVALUE. Arrays (X,Y,Z) specify the points at which the data V is given. The struct FV contains the faces and vertices of the isosurface and can be passed directly to the PATCH command. FV = ISOSURFACE(V,ISOVALUE) assumes [X Y Z] = meshgrid(1:N, 1:M, 1:P) where [M,N,P]=SIZE(V). FV = ISOSURFACE(X,Y,Z,V) or FV = ISOSURFACE(V) selects an isosurface value automatically using the histogram of the data. FVC = ISOSURFACE(..., COLORS) interpolates the array COLORS onto the scalar field and returns the interpolated values in facevertexcdata. The size of the COLORS array must be the same as V. FV = ISOSURFACE(..., 'noshare') does not attempt to create shared vertices. This is faster, but produces a larger set of vertices. FV = ISOSURFACE(..., 'verbose') prints progress messages to the command window as the computation progresses. [F, V] = ISOSURFACE(...) or [F, V, C] = ISOSURFACE(...) returns the faces and vertices (and facevertexcdata) in separate arrays instead of a struct. ISOSURFACE(...) With no output arguments, a patch is created into the current axes with the computed faces and vertices. If no current axes exists, a new axes will be created with a 3-D view. Example 1: [x y z v] = flow; p = patch(isosurface(x, y, z, v, -3)); isonormals(x,y,z,v, p) p.FaceColor = 'red'; p.EdgeColor = 'none'; daspect([1 1 1]) view(3) camlight; lighting phong Example 2: [x y z v] = flow; q = z./x.*y.^3; p = patch(isosurface(x, y, z, q, -.08, v)); isonormals(x,y,z,q, p) p.FaceColor = 'interp'; p.EdgeColor = 'none'; daspect([1 1 1]); axis tight; colormap(prism(28)) camup([1 0 0 ]); campos([25 -55 5]) camlight; lighting phong See also ISONORMALS, ISOCAPS, SMOOTH3, SUBVOLUME, REDUCEVOLUME, REDUCEPATCH, SHRINKFACES. Documentation for isosurface doc isosurface
MAB
MAB on 22 Dec 2023
Thanks alot for your response I appreciate it I know the built in function in matlab (isosurafce ()) but i didn't have data for V I can't get a relation between x,y,z and V all I know That the 3D plot of the IT3MF is an isosurface with volume in between the layers of the surface formed by all the secondary IT2MFs (gauss ) in green color in the second plot attached which forms the domain of uncertainty (DOU) of IT3 FS

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