Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 1


Published
on

April 15, 2022


Pages

2091-2102


DOI

Article

Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix

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Authors

Fengxia Jin Affiliation:
School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, China
, Zhi Zhou Affiliation:
Zibo integrated traditional Chinese and Western Medicine Hospital, ZiBo 255026, China
, Yunxia Ma Affiliation:
Zibo integrated traditional Chinese and Western Medicine Hospital, ZiBo 255026, China
and Yonggang Chen Affiliation:
School of Mathematical Sciences, Henan Institute of Science and Technology, Xinxiang 453003, China


Abstract

In this study, first, the definitions of the preference relation matrix and the 0-1 permutation preference matrix of the linguistic judgement matrix are given. The method of judging the satisfactory consistency of the linguistic judgement matrix by the standard 0-1 arrangement matrix is obtained. This method not only solves the problem of satisfactory consistency when there are no equivalent objects but is also simple and effective. Then, the definition of the cyclic circle matrix of the three objects is given. According to the size of the preference value of the object line, the cyclic cycle and the adjusted language judgement matrix are obtained. Finally, the rationality and validity of the method are verified by examples.


Keywords

linguistic judgement matrix, preference relation matrix, satisfactory consistency, consistency modification


Citation

Jin, F., Zhou, Z., Ma, Y., & Chen, Y. (2021). Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix. Applied Mathematics and Nonlinear Sciences, 6(1), 2091–2102. https://doi.org/10.2478/amns.2021.1.00109
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