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

Autor: Zhou Zhi, Jin Fengxia, Ma Yunxia, Chen Huatao
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Applied Mathematics and Nonlinear Sciences, Vol 8, Iss 1, Pp 2169-2178 (2023)
Druh dokumentu: article
ISSN: 2444-8656
DOI: 10.2478/amns.2021.2.00133
Popis: 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.
Databáze: Directory of Open Access Journals