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Linguistic group decision making with induced aggregation operators and probabilistic information
Affiliation:1. Manchester Business School, The University of Manchester, Booth Street West, M15 6PE Manchester, United Kingdom;2. Department of Business Administration, University of Barcelona, Av. Diagonal 690, 08034 Barcelona, Spain;3. Department of Management Control and Information Systems, University of Chile, Av. Diagonal Paraguay 257, 8330015 Santiago, Chile;4. Department of Business Organisation, Universitat Politècnica de València, Camino Vera s/n, 46022 València, Spain;1. Mechanical Engineering Department, South Dakota School of Mines and Technology, United States;2. Mechanical and Aerospace Engineering Department, Missouri University of Science and Technology, United States;1. Faculty of Information Technology, Multimedia University, Cyberjaya, Malaysia;2. Faculty of Creative Industries, Universiti Tunku Abdul Rahman, Malaysia;3. Faculty of Information Science and Technology, Multimedia University, Melaka, Malaysia;1. Department of Computer Science, Rani Anna Government College for Women, Tirunelveli, Tamil Nadu, India;2. Research Scholar, Manonmaniam Sundaranar University, Tirunelveli, Tamil Nadu, India;1. School of Information and Communication Technology, Hanoi University of Science and Technology, Hanoi, Viet Nam;2. Faculty of Information Technology, Le Quy Don Technical University, Hanoi, Viet Nam;3. Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Japan
Abstract:A new approach for linguistic group decision making by using probabilistic information and induced aggregation operators is presented. It is based on the induced linguistic probabilistic ordered weighted average (ILPOWA). It is an aggregation operator that uses probabilities and OWA operators in the same formulation considering the degree of importance that each concept has in the formulation. It uses complex attitudinal characters that can be assessed by using order inducing variables. Furthermore, it deals with an uncertain environment where the information cannot be studied in a numerical scale but it is possible to use linguistic variables. Several extensions to this approach are presented by using moving averages and Bonferroni means. The applicability of this approach is also studied with a focus on multi-criteria group decision making by using multi-person aggregation operators in order to deal with the opinion of several experts in the analysis. An illustrative example regarding importation strategies in the administration of a country is developed.
Keywords:Decision-making  Linguistic information  OWA operator  Probability  Induced aggregation operators
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