| Minimum Cycle of Row Vector of a Generalized Circulant Fuzzy Matrix |
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| 作者姓名： | 洗国荣 陈卓荣 |
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| 作者单位： | Xian Guorong(Department of Mathematics，Zhaoqing Institute of Education)Chen Zhuorong(Department of Mathematics，South China Normal University) |
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| 摘 要： | 51.IntroductionLetF=O,1],foranya,beF,definea b=max{a,b},a*b=min{a,b}.Mn(F)standsforthesetofa1lthenthordermatrixesinF,matrixAinMn(F)iscalledFuzzymatrixA.Letrbeanynon-negativeinteger.lnannthordermatrix,exclusiveofthefirstrow,theelementsofeveryotherrowarethee1ementsoftheprecedingrowthatcirculaterightwardr-co1umns.Thisnthordermatrixisannthorderr-circulantFuzzymatrix(alsocalledgenearLizedcirculantFuzzymatrix)-Wecallrthecircu1antindexofr-circulantFuzzymatrix.Inthebooklistedin1j,thisisgiven:…
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| 关 键 词： | 广义循环模糊矩阵 行向量最小周期 半群 |
Minimum Cycle of Row Vector of a Generalized Circulant Fuzzy Matrix |
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| Xian Guorong.Minimum Cycle of Row Vector of a Generalized Circulant Fuzzy Matrix[J].Chinese Quarterly Journal of Mathematics,1997,12(1):104-110. |
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| Authors: | Xian Guorong |
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| Institution: | [1]Department [2]of |
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| Abstract: | In this paper,we intreduce the concept and discuss the properties of minimum cycle of row vector in a generalized circulant Fuzzy matrix. We present a new expression for circulant Fuzzy matrix,and discuss some properties of the idempotent elements of the semigroup of generalized circulant Fuzzy matrixes in connection with minimum cycle of row vector. |
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| Keywords: | generalized circulant Fuzzy matrix semigroup vector cycle idempotent element |
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