title: Induced unbalanced linguistic ordered weighted average and its application in multiperson decision making.
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.
authors.affiliation: Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, Spain.
authors.forename: Lucas
authors.identifier: 0000-0002-0706-4678
authors.initials: L
authors.lastname: Marin
authors.affiliation: Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, Spain.
authors.forename: Aida
authors.identifier: 0000-0003-3616-7809
authors.initials: A
authors.lastname: Valls
authors.affiliation: Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, Spain.
authors.forename: David
authors.identifier: 0000-0003-1270-9466
authors.initials: D
authors.lastname: Isern
authors.affiliation: Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, Spain.
authors.forename: Antonio
authors.identifier: 0000-0003-3945-2314
authors.initials: A
authors.lastname: Moreno
authors.affiliation: MBS Decision Solutions, Manchester Business School Decision and Cognitive Sciences Research Centre (DCSRC), The University of Manchester, Booth Street West, Manchester M15 4PB, UK.
authors.forename: José M
authors.initials: JM
authors.lastname: Merigó
mesh_terms: D003657:Decision Making; D017143:Fuzzy Logic; D008962:Models, Theoretical