We present the generalized ordered weighted logarithm averaging (GOWLA) operator based on an optimal deviation model. It is a new aggregation operator that generalizes the ordered weighted geometric averaging (OWGA) operator. This operator adds to the OWGA operator an additional parameter. controlli
Note on “The induced continuous ordered weighted geometric operators and their application in group decision making”
✍ Scribed by Ye-Jun Xu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 149 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0360-8352
No coin nor oath required. For personal study only.
✦ Synopsis
In this short communication, we will show that the condition of the theorem does not hold in general cases in a recent paper ''The induced continuous ordered weighted geometric operators and their application in group decision making" [Computers & Industrial Engineering 56 (2009) 1545-1552] by Wu et al., and also illustrate an example to show that we cannot construct a consistent interval multiplicative preference relation according to the condition of theorem in general case. Furthermore, we present a more reasonable condition to satisfy Theorem 1 so that we can construct a consistent interval multiplicative preference relation.
📜 SIMILAR VOLUMES
In this article, we introduce the induced ordered weighted geometric (IOWG) operator and its properties. This is a more general type of OWG operator, which is based on the induced ordered weighted averaging (IOWA) operator. We provide some IOWG operators to aggregate multiplicative preference relati
The ordered weighted geometric (OWG) operator is an aggregation operator that is based on the ordered weighted averaging (OWA) operator and the geometric mean. Its application in multicriteria decision making (MCDM) under multiplicative preference relations has been presented. Some families of OWG o