# OBTAINING MINIMUM VARIABILITY OWA OPERATORS UNDER A FUZZY LEVEL OF ORNESS

### Kaj-Mikael Björk

#### Abstract

Finding the optimal OWA (ordered weighted averaging) operators is important in many decision support problems. The OWA-operators enables the decision maker to model very different kinds of aggregator operators. The weights need to be, however, determined under some criteria, and can be found through the solution of some optimization problems. The important parameter called the level of orness may, in many cases, be uncertain to some degree. Decision makers are often able to estimate the level using fuzzy numbers. Therefore, this paper contributes to the current state of the art in OWA operators with a model that can determine the optimal (minimum variability) OWA operators under a (unsymmetrical triangular) fuzzy level of orness.

#### References

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#### Paper Citation

#### in Harvard Style

Björk K. (2008). **OBTAINING MINIMUM VARIABILITY OWA OPERATORS UNDER A FUZZY LEVEL OF ORNESS** . In *Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-8111-30-2, pages 114-119. DOI: 10.5220/0001483501140119

#### in Bibtex Style

@conference{icinco08,

author={Kaj-Mikael Björk},

title={OBTAINING MINIMUM VARIABILITY OWA OPERATORS UNDER A FUZZY LEVEL OF ORNESS},

booktitle={Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2008},

pages={114-119},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001483501140119},

isbn={978-989-8111-30-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - OBTAINING MINIMUM VARIABILITY OWA OPERATORS UNDER A FUZZY LEVEL OF ORNESS

SN - 978-989-8111-30-2

AU - Björk K.

PY - 2008

SP - 114

EP - 119

DO - 10.5220/0001483501140119