Picture Fuzzy Matrices

Suppose there is a controversial statement say S. It is assumed that in a locality there are N people among them m persons accepting the statement S and n number of persons making negative comments about S, where \(0\le m+n\le N\) . Then the ratios \(\mu =m/N, \nu =n/N\) are called the degree of acceptance and degree of negation of the statement S. If \(\mu +\nu =1\) , then everybody clearly mentioned his/her opinion and the situation can be handled with the fuzzy set (FS) only. If \(0\le \mu +\nu < 1\) , then some people are not participated to make any comments about the statement S.