Least-squared ordered weighted averaging operator weights

Byeong Seok Ahn · Haechurl Park

64 citations0/0 files storedInternational Journal of Intelligent Systems

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Multi-Criteria Decision Making Game Theory and Voting Systems Advanced Algebra and Logic

Abstract

The ordered weighted averaging (OWA) operator by Yager (IEEE Trans Syst Man Cybern 1988; 18; 183–190) has received much more attention since its appearance. One key point in the OWA operator is to determine its associated weights. Among numerous methods that have appeared in the literature, we notice the maximum entropy OWA (MEOWA) weights that are determined by taking into account two appealing measures characterizing the OWA weights. Instead of maximizing the entropy in the formulation for determining the MEOWA weights, a new method in the paper tries to obtain the OWA weights that are evenly spread out around equal weights as much as possible while strictly satisfying the orness value provided in the program. This consideration leads to the least-squared OWA (LSOWA) weighting method in which the program is to obtain the weights that minimize the sum of deviations from the equal weights since entropy is maximized when all the weights are equal. Above all, the LSOWA method allocates the positive and negative portions to the equal weights that are identical but opposite in sign from the middle point in the number of criteria. Furthermore, interval LSOWA weights can be constructed when a decision maker specifies his or her orness value in uncertain numerical bounds and we present a method, with those uncertain interval LSOWA weights, for prioritizing alternatives that are evaluated by multiple criteria. © 2008 Wiley Periodicals, Inc.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 64 citations exist upstream.

References

1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 1996A model of consensus in group decision making under linguistic assessments 2005An overview of methods for determining OWA weights 2003An overview of operators for aggregating information 2000Application of fuzzy measures in multi-criteria evaluation in GIS 1995A sequential selection process in group decision making with a linguistic assessment approach 1998On the issue of obtaining OWA operator weights 2001An analytic approach for obtaining maximal entropy OWA operator weights

Cited by

2019An enhanced ordered weighted averaging operators generation algorithm with applications for multicriteria decision making 2011THE UNCERTAIN GENERALIZED OWA OPERATOR AND ITS APPLICATION TO FINANCIAL DECISION MAKING 2010Parameterized OWA operator weights: An extreme point approach 2011A Review of the OWA Determination Methods: Classification and Some Extensions 2009Some remarks on the LSOWA approach for obtaining OWA operator weights

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.