模糊积的α-切方法及其在全模糊线性系统解计算中的应用

Int. J. Math. Oper. Res. Pub Date : 2018-02-08 DOI:10.1504/IJMOR.2018.10010214

R. Hassanzadeh, I. Mahdavi, N. Mahdavi-Amiri, A. Tajdin

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引用次数: 5

摘要

我们提出了一种利用α-切计算各种模糊数积的方法。利用回归模型得到了乘积的隶属函数。然后，我们利用该方法计算全模糊线性系统的解。我们还展示了如何计算具有各种模糊变量的全模糊线性系统的解。举例说明了这种方法。

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An α-cut approach for fuzzy product and its use in computing solutions of fully fuzzy linear systems

We propose an approach for computing the product of various fuzzy numbers using α-cuts. A regression model is used to obtain the membership function of the product. Then, we make use of the approach to compute solutions of fully fuzzy linear systems. We also show how to compute solutions of fully fuzzy linear systems with various fuzzy variables. Examples are worked out to illustrate the approach.

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Int. J. Math. Oper. Res.

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