LIN Funing1, LI Shenggang1*, YANG Xiaofei2
(1 School of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710119, Shaanxi, China;2 College of Science, Xi′an Polytechnic University, Xi′an 710048, Shaanxi, China)
Abstract:
The notions of stratification-induced fuzzy circuits and circuit-denseness for \[0,1\]-matroids are proposed. The existence and incomparability property of stratification-induced fuzzy circuits for closed \[0,1\]-matroids are proved. The elimination property theorem of stratification-induced fuzzy circuits for circuit-dense and closed \[0,1\]-matroids is also obtained.
KeyWords:
stratification-induced fuzzy circuit;circuit-dense \[0,1\]-matroid;closed \[0,1\]-matroid;incomparability property;elimination property