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

<p>The transformation method between the linguistic judgement matrix and other four forms of preference information is researched in this paper. The four forms of preference information are preference ordering, utility value, reciprocal judgement matrices and complementary judgement matrices. First, based on the definition of preference information, the mutual transformation methods of linguistic judgement matrix and other four forms of preference information are given. Then new transformation equations are obtained. Next, it is proved that when the linguistic judgement matrix has complete consistency, the other four forms of preference information will have complete consistency too. Finally, a numerical analysis is offered to show that these methods are feasible and effective.</p>
</abstract>

The transformation method between the linguistic judgement matrix and other four forms of preference information is researched in this paper. The four forms of preference information are preference ordering, utility value, reciprocal judgement matrices and complementary judgement matrices. First, based on the definition of preference information, the mutual transformation methods of linguistic judgement matrix and other four forms of preference information are given. Then new transformation equations are obtained. Next, it is proved that when the linguistic judgement matrix has complete consistency, the other four forms of preference information will have complete consistency too. Finally, a numerical analysis is offered to show that these methods are feasible and effective.

The consistency method of linguistic information and other four preference information in group decision-making

Applied Mathematics and Nonlinear Sciences

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

The transformation method between the linguistic judgement matrix and other four forms of preference information is researched in this paper. The four forms of...

The consistency method of linguistic information and other four preference information in group decision-making

Published Online: May 25, 2022

Page range: 2169 - 2178

Received: Jul 19, 2021

Accepted: Sep 26, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00133

Keywords
group decision-making, linguistic judgement matrix, preference information, consistency

© 2023 Zhi Zhou et al., published by Sciendo

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

The consistency method of linguistic information and other four preference information in group decision-making

Published Online: May 25, 2022

Page range: 2169 - 2178

Received: Jul 19, 2021

Accepted: Sep 26, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00133

Keywordsgroup decision-making, linguistic judgement matrix, preference information, consistency

© 2023 Zhi Zhou et al., published by Sciendo

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

Keywords
group decision-making, linguistic judgement matrix, preference information, consistency