An interval-valued intuitionistic fuzzy multiattribute group decision making framework with incomplete preference over alternatives |
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| Authors: | Zhou-Jing Wang Kevin W Li |
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| Affiliation: | 1. School of Information, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang 310018, China;2. School of Computer Science and Engineering, Beihang University, Beijing 100083, China;3. Odette School of Business, University of Windsor, Windsor, Ontario, Canada N9B 3P4;1. Energy Institute, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey;2. Department of Astronautical Engineering, Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey;3. Department of Mechanical Engineering, Faculty of Engineering, Istanbul Aydin University, 34295 Florya, Istanbul, Turkey;1. Japan NUS Co. Ltd;2. NTT DATA Institute of Management Consulting, Inc;3. Central Research Institute of Electric Power Industry;1. Department of Mathematics, Saifia Science College, Bhopal, M.P, 462021, India;2. Department of Mathematics, Technocrats Institutes of Technology, group of Institutes Bhopal, 462021, India;3. Department of Mathematics, Institute of Excellence in Higher Education Bhopal, 462016, India;4. Department of Mathematics, J.H. Govt. P.G. College Betul, 460001, India;1. Japan Agency for Marine-Earth Science and Technology, 2-15 Ntsushima-cho, Yokosuka 237-0061, Japan;2. Mitsubishi Heavy Industries, LTD., 5-717-1, Fukahori-machi, Nagasaki 851-0392, Japan;3. The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba 277-8561, Japan |
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| Abstract: | This article proposes a framework to handle multiattribute group decision making problems with incomplete pairwise comparison preference over decision alternatives where qualitative and quantitative attribute values are furnished as linguistic variables and crisp numbers, respectively. Attribute assessments are then converted to interval-valued intuitionistic fuzzy numbers (IVIFNs) to characterize fuzziness and uncertainty in the evaluation process. Group consistency and inconsistency indices are introduced for incomplete pairwise comparison preference relations on alternatives provided by the decision-makers (DMs). By minimizing the group inconsistency index under certain constraints, an auxiliary linear programming model is developed to obtain unified attribute weights and an interval-valued intuitionistic fuzzy positive ideal solution (IVIFPIS). Attribute weights are subsequently employed to calculate distances between alternatives and the IVIFPIS for ranking alternatives. An illustrative example is provided to demonstrate the applicability and effectiveness of this method. |
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