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The paper concerns the problem of reaching consensus among agents in group decision making. A popular framework of individual preferences expressed as (fuzzy) preference relations is adopted. The consensus reaching process is assumed to be based on a discussion in the group of agents, which is expected to make the initially expressed preferences closer one to another. We present a novel approach to...
Preference relations are very useful to express decision makers' preferences over alternatives in the process of decision-making. However, multiple self-confidence levels are not considered in existing preference relations. In this study, we propose a new type of preference relations: fuzzy preference relations with self-confidence. A linear programming model is proposed for estimating priority vectors...
Intuitionistic Fuzzy TOPSIS (IFT) is an effective decision making technique for fuzziness nature of linguistic assessments. This paper proposes a novel methodology for Multiple Attribute Group Decision Making (MAGDM) problems in intuitionistic fuzzy environment. The proposed methodology is based on utilizing the hesitancy degree to determine decision makers' weights distinctively and, a non-linear...
This paper proposes two kinds of minimum cost models regarding all the individuals and regarding with one particular individual respectively, shows the economic significance of these two models by exploring their dual models based on the primal-dual linear programming theories, and builds the conditions when these two models have the same optimal consensus opinion.
Multiattribute group decision making (MAGDM) problems often involve both quantitative and qualitative attributes, where assessment values are expressed as imprecise data. This paper entertains interval-valued intuitionistic fuzzy sets (IVIFSs) to characterize fuzziness and uncertainty contained in imprecise decision data and processes such as subjective factors of linguistic terms and satisfaction...
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