Group decision making based on incomplete multiplicative and fuzzy preference relations |
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| Affiliation: | 1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, PR China;2. Research Institute of Management Science, Business School, Hohai University, Nanjing 211100, PR China;3. Department of Computer Science and Artificial Intelligence, University of Granada, 18071 Granada, Spain;4. Faculty of Computing and Information Technology – North Jeddah, King Abdulaziz University, 21589 Jeddah, Saudi Arabia |
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| Abstract: | 
The main aim of this paper is to investigate the group decision making on incomplete multiplicative and fuzzy preference relations without the requirement of satisfying reciprocity property. This paper introduces a new characterization of the multiplicative consistency condition, based on which a method to estimate unknown preference values in an incomplete multiplicative preference relation is proposed. Apart from the multiplicative consistency property among three known preference values, the method proposed also takes the multiplicative consistency property among more than three values into account. In addition, two models for group decision making with incomplete multiplicative preference relations and incomplete fuzzy preference relations are presented, respectively. Some properties of the collective preference relation are further discussed. Numerical examples are provided to make a discussion and comparison with other similar methods. |
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| Keywords: | Multiplicative preference relation Fuzzy preference relation Multiplicative consistency Priority vector Group decision making |
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