For instance, the Schrödinger's Cat Theory says that the quantum state of a photoncan basically be in more than one place in the same time, which means that ...
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Neutrosophic Sets and Systems, 18/2017
University of New Mexico
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Neutrosophic Sets and Systems, 18/2017
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Function nm_out=nm(varargin); %single valued neutrosophic matrix class constructor. %A = nm(Am,Ai,An) creates a single valued neutrosophic matrix % with membership degrees from matrix
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% indeterminate membership degrees from DFFXUDF\IXQFWLRQ D $ DQGWKHFHUWDLQW\IXQFWLRQ F $ RI matrix Ai 6911DUHGHILQHGDVIROORZV % and non-membership degrees from Ma 7 , ) L V $ trix An. % If the new matrix is not neutrosophic LL D $ 7 ) i.e. Am(i,j)+Ai(i,j+An(i,j)>3 LLL D $ 7 % appears warning message, but the new object will be constructed. 'HILQLWLRQ >@/HW $ 7 , ) DQG $ 7 , ) EHWZRVLQJOHYDOXHGQHXWURVRSKLFQXPEHUVWKHQ J If L $
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length(varargin)==3 Am = varargin{1}; % Cell array indexing
Ai = varargin{2}; 'HILQLWLRQ >@ 7KH XQLW Q LV GHILQHG E\ RQH RI WKH An = varargin{3}; IRXUW\SHV 7\SH Q ^ [ ! [ ;` end 7\SH Q ^ [ ! [ ;` nm_.m=Am; 7\SH ^ [ ! [ ;`
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Neutrosophic Sets and Systems, 18/2017
61
disp('Warning! The created new object is NOT a Single valued neutrosophic matrix')
% maxminmin of two single valued neutrosophic matrix A and B
end
% "A" have to be single valued neutrosophic matrix - "nm" object:
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%"B" have to be single valued neutrosophic matrix - "nm" object:
a.m=max(A.m,B.m); ,QWKHOLWHUDWXUHWKHUHDUHWZRGHILQLWLRQVRIFRPSOHPHQWRI QHXWURVRSKLF VHWV 7KH\ DUH LPSOHPHQWHG LQ WKLV H[WHQGHG a.i=min(A.i,B.i); VRIWZDUH SDFNDJH 7R REWDLQ WKH FRPSOHPHQW RI D W\SH DQGW\SH RID VLQJOHYDOXHGQHXWURVRSKLF PDWUL[ VLPSOH a.n=min(A.n,B.n); FDOORIWKHIXQFWLRQ QDPHG ³FRPSOHPHQWP´RU³FRPSOH At=nm(a.m,a.i,a.n); PHQWP´ Function At=complement1(A);
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% complement of type1 single valued neutrosophic matrix A
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% "A" have to be single valued neutrosophic matrix - "nm" object:
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a.m=A.n; a.i=A.i;
Function At=minmaxmax(A,B);
a.n=A.m;
% minmaxmax of two single valued neutrosophic matrix A and B
At=nm(a.m,a.i,a.n); Function At=complement2(A);
% "A" have to be single valued neutrosophic matrix - "nm" object:
% complement of type2 single valued neutrosophic matrix A
%"B" have to be single valued neutrosophic matrix - "nm" object:
% "A" have to be single valued neutrosophic matrix - "nm" object:
a.m=min(A.m,B.m);
a.m=1-A.m; a.i=1-A.i; a.n=1-A.n; At=nm(a.m,a.i,a.n); &RPSXWLQJPD[PLQPLQRIWZRVLQJOHYDOXHGQHX WURVRSKLFPDWULFHV 7R REWDLQ WKH PD[PLQ PLQ RI WZR VLQJOHYDOXHG QHXWUR VRSKLF PDWULFHV VLPSOH FDOO RI WKH IROORZLQJ IXQFWLRQ QDPHG³PD[PLQPLQP´LVQHHGHG
a.i=max(A.i,B.i); a.n=max(A.n,B.n); At=nm(a.m,a.i,a.n); &RPSXWLQJ SRZHU RI D VLQJOHYDOXHG QHXWURVRSKLF PDWUL[ 7RREWDLQWKHSRZHURIVLQJOHYDOXHGQHXWURVRSKLFPDWUL[ VLPSOHFDOORIWKHIROORZLQJIXQFWLRQQDPHG³SRZHUP´LV QHHGHG Function At=power(A,k);
Function At=maxminmin(A,B);
S. Broumi, L. H. Son, A. Bakali, M. Talea, F. Smarandache and G.Selvachandran, Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox
Neutrosophic Sets and Systems, 18/2017
62
%power of single valued neutrosophic matrix A
% "A" have to be single valued neutrosophic matrix - "nm" object:
% "A" have to be single valued neutrosophic matrix - "nm" object:
a.m=min(A.m,B.n);
for i =2 :k a.m=(A.m).^k;
a.i=(A.i+B.i)/2; a.n=max(A.n,B.m); At=nm(a.m,a.i,a.n);
a.i=(A.i).^k; a.m=(A.m).^k;
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At=nm(a.m,a.i,a.m);
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end
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VLPSOHFDOORIWKHIROORZLQJIXQFWLRQQDPHG³WUDQVSRVHP´ LVQHHGHG Function At=transpose(A);
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a.m=(A.m)'; a.i=(A.i)'; a.n=(A.n)'; At=nm(a.m,a.i,a.n); 9, 180(5,&$/(;$03/(6 ,QWKLVVHFWLRQZHJLYHVHYHUDOH[DPSOHVWRLOOXVWUDWHVROY LQJVRPHRSHUDWLRQVRIWKHVLQJOHYDOXHGQHXWURVRSKLFPD WULFHV ([DPSOH ,QSXWDQHXWURVRSKLFPDWUL[E\DJLYHQVWUXF WXUHLQWKHWRROER[
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Neutrosophic Sets and Systems, 18/2017
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S. Broumi, L. H. Son, A. Bakali, M. Talea, F. Smarandache and G.Selvachandran, Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox
Neutrosophic Sets and Systems, 18/2017
64
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Received: November 23, 2017. Accepted: December 11, 2017.
S. Broumi, L. H. Son, A. Bakali, M. Talea, F. Smarandache and G.Selvachandran, Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox
