Weighted‐selective aggregated majority‐OWA operator and its application in linguistic group decision making |
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| Authors: | Binyamin Yusoff José M. Merigó David Ceballos José I. Peláez |
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| Affiliation: | 1. School of Informatics and Applied Mathematics, University of Malaysia Terengganu, Kuala Terengganu, Malaysia;2. Department of Mathematical Economics, Finance & Actuarial Sciences, University of Barcelona, Barcelona, Spain;3. Department of Management Control & Information Systems, School of Economics and Business, University of Chile, Santiago, Chile;4. Department of Languages and Computer Sciences, University of Malaga, and Institute of Biomedical Research of Malaga (IBIMA), Malaga, Spain |
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| Abstract: | This paper focuses on the aggregation operations in the group decision‐making model based on the concept of majority opinion. The weighted‐selective aggregated majority‐OWA (WSAM‐OWA) operator is proposed as an extension of the SAM‐OWA operator, where the reliability of information sources is considered in the formulation. The WSAM‐OWA operator is generalized to the quantified WSAM‐OWA operator by including the concept of linguistic quantifier, mainly for the group fusion strategy. The QWSAM‐IOWA operator, with an ordering step, is introduced to the individual fusion strategy. The proposed aggregation operators are then implemented for the case of alternative scheme of heterogeneous group decision analysis. The heterogeneous group includes the consensus of experts with respect to each specific criterion. The exhaustive multicriteria group decision‐making model under the linguistic domain, which consists of two‐stage aggregation processes, is developed in order to fuse the experts’ judgments and to aggregate the criteria. The model provides greater flexibility when analyzing the decision alternatives with a tolerance that considers the majority of experts and the attitudinal character of experts. A selection of investment problem is given to demonstrate the applicability of the developed model. |
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| Keywords: | group decision making induced aggregation operators linguistic information OWA operator |
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