Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making
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 re...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/642165 |
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| author | Lucas Marin Aida Valls David Isern Antonio Moreno José M. Merigó |
| author_facet | Lucas Marin Aida Valls David Isern Antonio Moreno José M. Merigó |
| author_sort | Lucas Marin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-37a7aec63f264825a28c4a2b9a19b27a |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-37a7aec63f264825a28c4a2b9a19b27a2025-02-03T01:28:51ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/642165642165Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision MakingLucas Marin0Aida Valls1David Isern2Antonio Moreno3José M. Merigó4Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, SpainDepartament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, SpainDepartament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, SpainDepartament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans 26, 43007 Tarragona, Catalonia, SpainMBS Decision Solutions, Manchester Business School Decision and Cognitive Sciences Research Centre (DCSRC), The University of Manchester, Booth Street West, Manchester M15 4PB, UKLinguistic 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.http://dx.doi.org/10.1155/2014/642165 |
| spellingShingle | Lucas Marin Aida Valls David Isern Antonio Moreno José M. Merigó Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making The Scientific World Journal |
| title | Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making |
| title_full | Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making |
| title_fullStr | Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making |
| title_full_unstemmed | Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making |
| title_short | Induced Unbalanced Linguistic Ordered Weighted Average and Its Application in Multiperson Decision Making |
| title_sort | induced unbalanced linguistic ordered weighted average and its application in multiperson decision making |
| url | http://dx.doi.org/10.1155/2014/642165 |
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