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The Scientific World Journal
Volume 2014 (2014), Article ID 642165, 19 pages
http://dx.doi.org/10.1155/2014/642165
Research Article

Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making

1Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, Spain
2MBS Decision Solutions, Manchester Business School Decision and Cognitive Sciences Research Centre (DCSRC), The University of Manchester, Booth Street West, Manchester M15 4PB, UK

Received 23 February 2014; Accepted 10 June 2014; Published 17 July 2014

Academic Editor: Francisco J. Cabrerizo

Copyright © 2014 Lucas Marin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Linguistic variables are very useful to evaluate alternatives in decision making problems because they provide a vocabulary in natural language rather than numbers. Some aggregation operators for linguistic variables force the use of a symmetric and uniformly distributed set of terms. The need to relax these conditions has recently been posited. This paper presents the induced unbalanced linguistic ordered weighted average (IULOWA) operator. This operator can deal with a set of unbalanced linguistic terms that are represented using fuzzy sets. We propose a new order-inducing criterion based on the specificity and fuzziness of the linguistic terms. Different relevancies are given to the fuzzy values according to their uncertainty degree. To illustrate the behaviour of the precision-based IULOWA operator, we present an environmental assessment case study in which a multiperson multicriteria decision making model is applied.