刘坤. 对偶模糊线性系统A$\tilde{X}$=B$\tilde{X}$+$\tilde{Y}$的模糊对称解*[J]. 云南大学学报(自然科学版), 2018, 40(5): 829-835. doi: 10.7540/j.ynu.20180129
引用本文: 刘坤. 对偶模糊线性系统A$\tilde{X}$=B$\tilde{X}$+$\tilde{Y}$的模糊对称解*[J]. 云南大学学报(自然科学版), 2018, 40(5): 829-835. doi: 10.7540/j.ynu.20180129
LIU Kun. The fuzzy symmetric solutions of the dual fuzzy linear systems A$\tilde{X}$=B$\tilde{X}$+$\tilde{Y}$[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(5): 829-835. DOI: 10.7540/j.ynu.20180129
Citation: LIU Kun. The fuzzy symmetric solutions of the dual fuzzy linear systems A$\tilde{X}$=B$\tilde{X}$+$\tilde{Y}$[J]. Journal of Yunnan University: Natural Sciences Edition, 2018, 40(5): 829-835. DOI: 10.7540/j.ynu.20180129

对偶模糊线性系统A\tildeX=B\tildeX+\tildeY的模糊对称解*

The fuzzy symmetric solutions of the dual fuzzy linear systems A\tildeX=B\tildeX+\tildeY

  • 摘要: 将对偶模糊线性系统的1-截形式转化为区间线性方程系统,给出了对偶模糊线性系统A\tildeX=B\tildeX+\tildeY的3种不同类型的模糊对称解.同时,指出得到的模糊对称解介于该模糊系统的容许解集与可控解集之间,且在容许解集上取得最大模糊对称解,在可控解集上取得最小模糊对称解.

     

    Abstract: Three types of fuzzy symmetric solutions are derived by transforming a dual fuzzy linear system in 1-cut to a system of interval equations in this paper.At the same time,it seems that a solution is a connection solution between Tolerable Solution Set(TSS) and Controllable Solution Set(TSS).Also,we derive the maximal solution and the minimal solution of an original dual fuzzy linear system which are placed in TSS and CSS,respectively.

     

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