In this paper, we introduced the majority multiplicative ordered weighted geometric (MM-OWG) operator and its properties. This is a general type of the aggregate dependent weights which we have applied in geometric environment. The MM-OWG operator is based on the OWG operators and on the majority operators. We provide the MM-OWG operators to aggregate in a multiplicative environment, i.e. when it's necessary to aggregate information given on a ratio scale. Therefore, it allows us to incorporate the concept of majority in problems where the information is provided using a ratio scale. Its properties are studied and an application for multicriteria decision making problems with multiplicative preference relations is presented.
@article{urn:eudml:doc:40862,
title = {Majority multiplicative ordered weighting geometric operators and their use in the aggregation of multiplicative preference relations.},
journal = {Mathware and Soft Computing},
volume = {12},
year = {2005},
pages = {107-120},
zbl = {1093.68642},
mrnumber = {MR2199808},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40862}
}
Peláez, José Ignacio; Doña, Jesús María; Mesas, Alejandro. Majority multiplicative ordered weighting geometric operators and their use in the aggregation of multiplicative preference relations.. Mathware and Soft Computing, Tome 12 (2005) pp. 107-120. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40862/