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A rough set-based game theoretical approach for environmental decision-making: A case of offshore oil and gas operations
Authors:Ming Yang  Faisal I Khan  Rehan Sadiq  Paul Amyotte
Institution:1. Process Engineering, Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St John''s, NL, Canada A1B 3X5;2. Okanagan School of Engineering, Faculty of Applied Science, University of British Columbia, Kelowna, BC, Canada V1V 1V7;3. Department of Process Engineering and Applied Science, Faculty of Engineering, Dalhousie University, Halifax, NS, Canada B3J 2X4;1. Centro de Investigaciones Económicas, Administrativas y Sociales, Instituto Politécnico Nacional, Lauro Aguirre 120, col. Agricultura, Del. Miguel, Hidalgo, 11360, Mexico City, Mexico;2. Department of Control Automatics, Center for Research and Advanced Studies, Av. IPN 2508, Col. San Pedro Zacatenco, 07360 Mexico City, Mexico;3. Universidad Autonoma de Ciudad del Carmen, Campeche, Mexico;1. University of Surrey, School of Economics, Guildford, GU2 7XH, UK;2. Instituto Universitário de Lisboa (ISCTE-IUL), Av das Forças Armadas, 1649-026, Lisboa, Portugal;3. Business Research Unit (BRU-IUL), Av das Forças Armadas, 1649-026, Lisboa, Portugal;1. School of Management, Shanghai University, Shanghai, 200444, PR China;2. College of Economics and Management, China Jiliang University, Hangzhou, 310018, PR China;3. School of Economics and Management, Tongji University, Shanghai, 200092, PR China;1. Australian Maritime College, College of Sciences and Engineering, University of Tasmania, Launceston, 7248, Australia;2. School of Engineering, Faculty of Science and Engineering, Macquarie University, Sydney, NSW, 2109, Australia;3. Centre for Risk, Integrity and Safety Engineering (C-RISE), Faculty of Engineering & Applied Science, Memorial University of Newfoundland, St. John’s, NL, A1B 3X5, Canada
Abstract:Environmental decision-making in offshore oil and gas (OOG) operations can be extremely complex due to conflicting objectives or criteria, availability of vague and uncertain information, and interdependency among multiple decision-makers. Most existing studies ignore conflicting preferences and strategic interactions among decision-makers. This paper presents a game theoretical approach to solve multi-criteria conflict resolution problem under constrained and uncertain environments. Uncertainties in the quantification of imprecise data are expressed using rough numbers. A multi-criteria game is developed to model a decision problem in which three groups of decision-makers (i.e., operators, regulators and service engineers) are involved. This game is solved using the generalized maximin solution concept. With the solution (i.e., optimal weights of the criteria), the rough numbers can be aggregated to an expected payoff for each alternative. Finally, the weights of upper and lower limits of a rough number are employed to transform the expected payoff into a crisp score, based on which all alternatives are ranked to identify the best one. A numerical example is outlined to demonstrate the application of the proposed method to the selection of management scenarios of drilling wastes.
Keywords:
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