<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

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....

Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix

Published Online: Apr 15, 2022

Page range: 2091 - 2102

Received: Dec 09, 2020

Accepted: Jan 24, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00109

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

© 2023 Fengxia Jin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix

Published Online: Apr 15, 2022

Page range: 2091 - 2102

Received: Dec 09, 2020

Accepted: Jan 24, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00109

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

© 2023 Fengxia Jin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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