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An extension method for fully fuzzy Sylvester matrix equation

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Abstract

An extension method is proposed to solve a class of fully fuzzy Sylvester matrix equation (FFSME) under some mild assumptions. This method consists of two steps. Firstly, the fully fuzzy system is transferred into a series of interval Sylvester matrix equations through \(\alpha \)-cut. Secondly, these interval systems are extended into crisp systems which is easy to be solved. The solutions of FFSME are not presumed to be triangular-type fuzzy numbers. Moreover, some examples are presented to show the validity of our method.

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Authors and Affiliations

  1. Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Kowloon, Hong Kong, People’s Republic of China

    Liangshao Hou

  2. Mathematics School, Shanghai Key Laboratory of Financial Information Technology, The Laboratory of Computational Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, People’s Republic of China

    Jieyong Zhou

  3. School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, People’s Republic of China

    Qixiang He

  4. Zhejiang College, Shanghai University of Finance and Economics, Zhejiang, 321013, People’s Republic of China

    Qixiang He

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  1. Liangshao Hou
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  2. Jieyong Zhou
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  3. Qixiang He
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Correspondence to Jieyong Zhou.

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Supported by the National Natural Science Foundation of China (No. 12071088).

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Hou, L., Zhou, J. & He, Q. An extension method for fully fuzzy Sylvester matrix equation. Soft Comput 25, 5763–5774 (2021). https://doi.org/10.1007/s00500-021-05573-z

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