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http://dx.doi.org/10.5666/KMJ.2010.50.4.465

Extreme Preservers of Zero-term Rank Sum over Fuzzy Matrices  

Song, Seok-Zun (Department of Mathematics, Jeju National University)
Na, Yeon-Jung (Department of Mathematics, Jeju National University)
Publication Information
Kyungpook Mathematical Journal / v.50, no.4, 2010 , pp. 465-472 More about this Journal
Abstract
In this paper, we consider two extreme sets of zero-term rank sum of fuzzy matrix pairs: $$\cal{z}_1(\cal{F})=\{(X,Y){\in}\cal{M}_{m,n}(\cal{F})^2{\mid}z(X+Y)=min\{z(X),z(Y)\}\};$$ $$\cal{z}_2(\cal{F})=\{(X,Y){\in}\cal{M}_{m,n}(\cal{F})^2{\mid}z(X+Y)=0\}$$. 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;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 0
연도 인용수 순위
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