Research Article Open Access

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

Zeshui Xu

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

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Keywords

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