논문KCI 등재
Extreme Preservers of Zero-term Rank Sum over Fuzzy Matrices
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In this paper, we consider two extreme sets of zero-term rank sum of fuzzy matrix pairs:Z1(F) = ｛(X,Y)∈Mm,n(F)2|z(X+Y)=min｛z(X),z(Y)｝｝;Z2(F) = ｛(X,Y)∈Mm,n(F)2|z(X+Y)=0｝We characterize the linear operators that preserve these two extreme sets of zero-term rank sum of fuzzy matrix pairs.
Abstract
In this paper, we consider two extreme sets of zero-term rank sum of fuzzy matrix pairs:Z1(F) = ｛(X,Y)∈Mm,n(F)2|z(X+Y)=min｛z(X),z(Y)｝｝;Z2(F) = ｛(X,Y)∈Mm,n(F)2|z(X+Y)=0｝We characterize the linear operators that preserve these two extreme sets of zero-term rank sum of fuzzy matrix pairs.
참고문헌 (7)
- LeRoy B. Beasley, "RANK INEQUALITIES OVER SEMIRINGS", 대한수학회지, 42(2), pp.33~51 (2005), 대한수학회
- L. B. Beasley, "Linear preservers for Sylvester and Frobenius bounds on matrix rank", Rocky Mountains J. Math., 36(1), pp.67~75 (2006)
- L. B. Beasley, "Linear preservers of extremes of rank inequalities over semirings: Row and Column ranks", Linear Algebra Appl., 413, pp.495~509 (2006)
- L. B. Beasley, "Linear operators that preserve pairs of matrices which satisfy extreme rank properties", Linear Algebra Appl., 350, pp.263~272 (2002)
- L. B. Beasley, "Linear operators that preserve zero-term rank of Boolean matrices", J. Korean Math. Soc., 36(6), pp.1181~1190 (1999)
- P. Pierce, "A Survey of Linear Preserver Problems", Linear and Multilinear Algebra, 33, pp.1~119 (1992)
- 송석준, "선형보존자 문제들에 관한 연구", 대한수학회논문집, 21(4), pp.595~612 (2006), 대한수학회
관련 논문AI추천
EXTREME PRESERVERS OF MAXIMAL COLUMN RANK INEQUALITIES OF MATRIX MULTIPLICATIONS OVER SEMIRINGS박권룡, 송석준, L. Hernandez Encinas대한수학회 · 대한수학회지2010 · 제47권 제1호EXTREME PRESERVERS OF TERM RANK INEQUALITIES OVER NONBINARY BOOLEAN SEMIRING송석준, 허성희, 비어슬리대한수학회 · 대한수학회지2014 · 제51권 제1호Sets of Integer Matrix Pairs Derived from Row Rank Inequalities and Their Preservers송석준, 전영배경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호Extreme sets of rank inequalities over Boolean matrices and their preservers강문환, 송석준, 전영배대한수학회 · 대한수학회논문집2013 · 제28권 제1호Characterizations of Zero-Term Rank Preservers of Matrices over Semirings강경태, 송석준, 비어슬리, Luis Hernandez Encinas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호Linear preservers of spanning column rank of matrix sums over semirings송석준대한수학회 · 대한수학회지2008 · 제45권 제2호
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