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Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodology
Affiliation:1. Department of Computer Science and Information Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan;2. Department of Information Management, Chienkuo Technology University, Changhua, Taiwan;3. Department of Kinesiology Health Leisure Studies, Chienkuo Technology University, Changhua, Taiwan;1. School of Electrical Engineering, Korea University, Anam-dong, Seongbuk-gu, Seoul 136-713, Republic of Korea;2. Office of Naval Research, Arlington, VA 22203, USA;1. Department of Computer Science, School of Science and Technology, Middlesex University, The Burroughs, London NW4 4BT, UK;3. Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, Surrey GU2 7XH, UK;1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;2. Computational Science, Hubei Key Laboratory, Wuhan University, Wuhan 430072, PR China;1. Departamento de Automática y Computación, Universidad Pública de Navarra, Campus Arrosadia s/n, 31006 Pamplona, Spain;2. Departamento de Matemáticas, Universidad Pública de Navarra, Campus Arrosadia s/n, 31006 Pamplona, Spain;3. Institute of Smart Cities, Universidad Publica de Navarra, Campus Arrosadia s/n, 31006 Pamplona, Spain;4. Institute of Information Engineering, Automation and Mathematics, Slovak University of Technology, 81237 Bratislava, Slovakia;5. Slovak University of Technology, Radlinskeho 11, Bratislava, Slovakia;6. Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, 18208 Prague, Czech Republic
Abstract:In this paper, we propose a new fuzzy multiattribute group decision making method based on intuitionistic fuzzy sets and the evidential reasoning methodology. First, the proposed method uses the evidential reasoning methodology to aggregate each decision maker’s decision matrix and the weights of the attributes to get the aggregated decision matrix of each decision maker. Then, it uses the obtained aggregated decision matrices of the experts, the weights of the experts and the evidential reasoning methodology to get the aggregated intuitionistic fuzzy value of each alternative. Finally, it calculates the transformed value of the obtained intuitionistic fuzzy value of each alternative. The smaller the transformed value, the better the preference order of the alternative. The proposed method can overcome the drawbacks of the existing methods for fuzzy multiattribute group decision making in intuitionistic fuzzy environments.
Keywords:Evidential reasoning methodology  Fuzzy multiattribute group decision making  Intuitionistic fuzzy sets  Similarity measures
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