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The construction and combined operation for fuzzy consistent matrixes

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Abstract

Fuzziness is one of the general characteristics of human thinking and objective things. Introducing fuzzy techniques into decision-making yields very good results. Fuzzy consistent matrix has many excellent characteristics, especially center-division transitivity conforming to the reality of the human thinking process in decision-making. This paper presents a new approach for creating fuzzy consistent matrix from mutual supplementary matrix in fuzzy decision-making. At the same time, based on the distance between individual fuzzy consistent matrix and average fuzzy consistent matrix, a kind of combined operation for several fuzzy consistent matrixes is presented which reflects most opinions of experienced experts. Finally, a practical example shows its flexibility and practicability further.

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Project (No. 20040335129) supported by the Specialized Research Fund for the Doctoral Program of Higher Education (SRFDP), China

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Min, Y., Bin, S. & Jian-hua, L. The construction and combined operation for fuzzy consistent matrixes. J. Zheijang Univ.-Sci. A 6, 27–31 (2005). https://doi.org/10.1631/BF02842473

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  • DOI: https://doi.org/10.1631/BF02842473

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