The Sub-content for Fuzzy Sub-symmetric Matrix
Zhang San · Journal of Sichuan Normal University · 2000
Based on Zhang San hua et al (J. Sichuan Normal University (Natural Science),2000,22(3):242～246.), the sub content for a sub realizable fuzzy matrix is investigated in this paper. When B=(b ij ) n×n is sub realizable, it is shown that if b ii ≥b ij ,i,j=1,2,…,n, then w(B)≥n, if b i,n-i+1 ≥b ij ,i,j=1,2,…,n, then w(B)≥2n-1. In particular, the necessary and sufficient condition that w(B)=1 ( resp 2,3) is also given for a 2×2 sub realizable fuzzy matix B. In addition, the relationship between a sub realizable fuzzy matrix and a realizable fuzzy matrix is discussed.