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Enhancing decision-making flexibility by introducing a new last aggregation evaluating approach based on multi-criteria group decision making and Pythagorean fuzzy sets
Affiliation:1. Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran;2. Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran;1. School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China;2. School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044, China;3. School of Government Audit, Nanjing Audit University, Nanjing, Jiangsu 211815, China;1. Department of Management Science, College of Management, Shenzhen University, Shenzhen 518060, China;2. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;3. Center for Energy & Environmental Policy Research, Beijing Institute of Technology, Beijing 100081, China;4. Alliance Manchester Business School, The University of Manchester, Manchester M15 6PB, United Kingdom;5. School of Information, Sanming University, Sanming 365004, China;1. College of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China;2. School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, China;1. School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China;2. China Institute of Manufacturing Development, Nanjing University of Information, Science and Technology, Nanjing 210044, China;3. School of Mathematics, University of Manchester, Booth Street West, M156PB Manchester, UK;1. Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran;2. Decision Sciences Department, LeBow College of Business, Drexel University, Philadelphia, PA 19104, USA
Abstract:Uncertainty is an important factor in any decision-making process. Different tools and approaches have been introduced to handle the uncertain environment of group decision making. One of the latest tools in dealing with uncertainty is Pythagorean fuzzy sets (PFSs). These sets extend the concept of intuitionistic fuzzy sets. To show the advantages of these new sets, this paper offers a novel last aggregation group decision-making process for weighting and evaluating. The methodology employs a new approach in computing the weight of decision makers. Moreover, the concept of entropy is applied to address the fuzziness of weights of evaluation criteria in the process. The method develops a new index in ranking the alternatives. Finally, the proposed method is last aggregation, which means it will be more precise in situations with high variations in decision makers’ judgments. To show the applicability of the method, an example from the literature is adopted and solved for internet companies.
Keywords:Pythagorean fuzzy sets (PFSs)  Group decision making  Last aggregation approach  Decision makers' weights  Internet companies
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