Idioma:

A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP

Ergu, Daji ; Kou, Gang ; Peng, Yi ; Shi, Yong

European journal of operational research, 2011-08, Vol.213 (1), p.246-259 [Periódico revisado por pares]

Amsterdam: Elsevier B.V

Texto completo disponível

Citações Citado por

Enviar para

Título:
A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP
Autor: Ergu, Daji ; Kou, Gang ; Peng, Yi ; Shi, Yong
Assuntos: Analytic network process (ANP) ; Applied sciences ; Consistency ; Decision analysis ; Decision making ; Decision theory. Utility theory ; Exact sciences and technology ; Hierarchies ; Inconsistency identification ; Mathematical analysis ; Matrices ; Matrix ; Matrix multiplication ; Multiple criteria analysis ; Multiple criteria analysis Inconsistency identification Analytic network process (ANP) Pair-wise comparison matrix Order reduction Matrix multiplication ; Multiple criteria decision making ; Multiplication ; Operational research ; Operational research and scientific management ; Operational research. Management science ; Order reduction ; Pair-wise comparison matrix ; Preserves ; Studies ; Vectors (mathematics)
É parte de: European journal of operational research, 2011-08, Vol.213 (1), p.246-259
Notas: ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
Descrição: ► A simple method to test the consistency for the pair-wise comparison matrices in ANP. ► Revising the inconsistent elements and preserving most of the comparison information. ► An accurate and efficient method to satisfy the consistency requirements of AHP/ANP. Tests of consistency for the pair-wise comparison matrices have been studied extensively since AHP was introduced by Saaty in 1970s. However, existing methods are either too complicated to be applied in the revising process of the inconsistent comparison matrix or are difficult to preserve most of the original comparison information due to the use of a new pair-wise comparison matrix. Those methods might work for AHP but not for ANP as the comparison matrix of ANP needs to be strictly consistent. To improve the consistency ratio, this paper proposes a simple method, which combines the theorem of matrix multiplication, vectors dot product, and the definition of consistent pair-wise comparison matrix, to identify the inconsistent elements. The correctness of the proposed method is proved mathematically. The experimental studies have also shown that the proposed method is accurate and efficient in decision maker’s revising process to satisfy the consistency requirements of AHP/ANP.
Editor: Amsterdam: Elsevier B.V
Idioma: Inglês

Links

Voltar para lista de resultados

Anterior Resultado 2 Avançar Ir para próxima página

Realização: Logos de Redes Sociais:

A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP

Ergu, Daji ; Kou, Gang ; Peng, Yi ; Shi, Yong

Amsterdam: Elsevier B.V

Buscando em bases de dados remotas. Favor aguardar.