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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

Extended IOWG Operator and its Use in Group Decision Making Based on Multiplicative Linguistic Preference Relations

Zeshui Xu1
  • 1 Institute of Sciences, PLA University of Science and Technology Nanjing, Jiangsu 210007, China

Abstract

In [1], Xu and Da introduced the Induced Ordered Weighted Geometric (IOWG) operator, which takes as its argument pairs, called OWG pairs, in which one component is used to induce an ordering over the second components which are exact numerical values and then aggregated. In this study, we develop an extended IOWG (EIOWG) operator, in which the second components are linguistic variables. We study some desirable properties of the EIOWG operator, and then apply the EIOWG operator to group decision making based on multiplicative linguistic preference relations.

American Journal of Applied Sciences
Volume 2 No. 3, 2005, 633-643

DOI: https://doi.org/10.3844/ajassp.2005.633.643

Submitted On: 15 June 2005 Published On: 31 March 2005

How to Cite: Xu, Z. (2005). Extended IOWG Operator and its Use in Group Decision Making Based on Multiplicative Linguistic Preference Relations. American Journal of Applied Sciences, 2(3), 633-643. https://doi.org/10.3844/ajassp.2005.633.643

Open AccessCopyright: © 2005 Zeshui Xu. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Aggregation
  • Induced Ordered Weighted Geometric (IOWG) Operator
  • Group Decision Making
  • Multiplicative Linguistic Preference Relation