On consistency of the weighted geometric mean complex judgement matrix in AHP

By Z. Xu. European Journal of Operational Research, 2000

404 citations recorded by the source corpus.

Subfields: Ecological Modeling, Management Science and Operations Research, Safety, Risk, Reliability and Quality

View Paper: https://www.semanticscholar.org/paper/9268d1f5e71663fe194ad40073858f14d101750c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Ecological Modeling

1. Ronald R. Yager
2. Zeshui Xu
3. Yucheng Dong
4. Yinfeng Xu
5. María Teresa Escobar
6. J. Moreno‐Jiménez
7. Guiwu Wei
8. Weize Wang

In Management Science and Operations Research

1. Zeshui Xu
2. Ronald R. Yager
3. Yucheng Dong
4. Harish Garg
5. Meimei Xia
6. Francisco Herrera
7. Peide Liu
8. Xindong Peng

In Safety, Risk, Reliability and Quality

1. Ronald R. Yager
2. Zeshui Xu
3. Wei‐Chiang Hong
4. María Teresa Escobar
5. J. Moreno‐Jiménez

Citations in the corpus

• Aggregation of Individual Preference Structures in Ahp-Group Decision Making (2007, methodology): “With respect to consistency in group decision making, it has been demonstrated (Escobar, Aguarón and Moreno-Jiménez 2004a; Xu 2000) that, when using the WGMM as the aggregation procedure, if the individual decision makers have an acceptable inconsistency, then so has the group, regardless of the met”
• Intuitionistic Fuzzy Information Aggregation Using Einstein Operations (2012, neutral): “1 [54], [57]: Let aj > 0, ωj > 0, j = 1, 2, .”
• Some geometric aggregation operators based on intuitionistic fuzzy sets (2006, neutral): “0 and P n j ¼ 1 v j ¼ 1, then a WG operator is defined as (Saaty 1980, Acze´l and Saaty 1983, Willet and Sharda 1991, Benjamin et al. 1992, Xu 2000, Xu and Da 2003): Another geometric aggregation operator called the OWG operator based on the OWA operator (Yager 1988, Yager 1993, Yager and Kacprzyk…”
• Improved AHP Method and Its Application in Risk Identification (2013, neutral): “Definition 2: Let A ¼ ðaijÞ be an n × n judgment matrix, Ω ¼ f1; 2; : : : ; ng; if aij ¼ aikakj, for each i, j, k ∈ Ω, judgment A is perfectly consistent (Xu 2000).”
• Consensus models for AHP group decision making under row geometric mean prioritization method (2010, background): “The consistency problem is also a critical step in AHP group decision making [2,8,19,21,24,33,34,38,43,45].”
• Power-Geometric Operators and Their Use in Group Decision Making (2010, background): “In real-life situations, the arguments sometimes take the form of a collection of multiplicative preference relations provided by different individuals [29]–[ 31 ].”