Multiperson decision-making based on multiplicative preference relations |
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| Institution: | 1. Business School, Sichuan University, Chengdu, China;2. Centre for Computational Intelligence, Faculty of Technology, De Montfort University, Leicester, UK;3. Department of Computer Science and Artificial Intelligence, University of Granada, Granada, Spain;4. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;1. Business School, Sichuan University, Chengdu, China;2. Andalusian Research Institute on Data Science and Computational Intelligence (DaSCI), University of Granada, 18071 Granada, Spain;3. Business School, Hohai University, Nanjing, China;4. Institute of Artificial Intelligence, De Montfort University, Leicester, UK;5. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;6. Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | A multiperson decision-making problem, where the information about the alternatives provided by the experts can be presented by means of different preference representation structures (preference orderings, utility functions and multiplicative preference relations) is studied. Assuming the multiplicative preference relation as the uniform element of the preference representation, a multiplicative decision model based on fuzzy majority is presented to choose the best alternatives. In this decision model, several transformation functions are obtained to relate preference orderings and utility functions with multiplicative preference relations. The decision model uses the ordered weighted geometric operator to aggregate information and two choice degrees to rank the alternatives, quantifier guided dominance degree and quantifier guided non-dominance degree. The consistency of the model is analysed to prove that it acts coherently. |
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