Extreme Preservers of Zero-term Rank Sum over Fuzzy Matrices

• Journal title : Kyungpook mathematical journal
• Volume 50, Issue 4,  2010, pp.465-472
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2010.50.4.465
Title & Authors
Extreme Preservers of Zero-term Rank Sum over Fuzzy Matrices
Song, Seok-Zun; Na, Yeon-Jung;

Abstract
In this paper, we consider two extreme sets of zero-term rank sum of fuzzy matrix pairs: $\small{\cal{z}_1(\cal{F})=\{(X,Y){\in}\cal{M}_{m,n}(\cal{F})^2{\mid}z(X+Y)=min\{z(X),z(Y)\}\};}$ $\small{\cal{z}_2(\cal{F})=\{(X,Y){\in}\cal{M}_{m,n}(\cal{F})^2{\mid}z(X+Y)=0\}}$. We characterize the linear operators that preserve these two extreme sets of zero-term rank sum of fuzzy matrix pairs.
Keywords
Linear operator;zero-term rank;fuzzy semiring;fuzzy matrix;
Language
English
Cited by
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