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A better score function for multiple criteria decision making in fuzzy environment with criteria choice under risk
Affiliation:1. Department of Mathematics, College of Natural Sciences, Arba Minch University, Arba Minch, Ethiopia;2. Department of Mathematics, Annamalai University, Annamalainagar - 608002, Tamilnadu, India;1. EDF, Institut de Recherche et Développement sur l''Energie Photovoltaïque (IRDEP), UMR7174 EDF/CNRS/UPMC, EDF Lab, 6 Quai Watier, 78400 Chatou, France;2. CNRS, Institut de Recherche et Développement sur l''Energie Photovoltaïque (IRDEP), UMR7174 EDF/CNRS/UPMC, EDF Lab, 6 Quai Watier, 78400 Chatou, France;3. Institut Lavoisier de Versailles (ILV), University of Versailles Saint-Quentin (UVSQ), UMR8180 CNRS/UVSQ, 45 avenue des Etats-Unis, 78035 Versailles, France;1. Faculty of Business & Information Science, UCSI University, Kuala Lumpur, Malaysia;2. Faculty of Business and Finance, Universiti Tunku Abdul Rahman, Kampar, Perak, Malaysia;1. Collins College of Business, The University of Tulsa, 800 South Tucker Drive, Helmerich Hall 118B, Tulsa, OK, 74104, United States;2. Department of Engineering Management and Systems Engineering, Laboratory for Investment and Financial Engineering, Intelligent Systems Center, Missouri University of Science and Technology, 221 Engineering Management, 600 W. 14th Street, Rolla, MO, 65409-0370, United States;3. SphereXX.com, 9142 S. Sheridan, Tulsa, OK, 74133, United States;4. Microsoft Corporation, 205 108th Ave NE #400, Bellevue, WA, 98004, United States
Abstract:The aim of this paper is to develop a new method for solving multiple criteria decision making (MCDM) problems in fuzzy environment to overcome all the deficiencies observed in the existing methods. For this purpose a weighted geometric aggregation operator (WGAO) and a new score function based on interval valued intuitionistic fuzzy soft set of root type (IVIFSSRT) are defined and some interesting theoretical properties of these tools are established. It is shown that interval valued intuitionistic fuzzy set of root type is a generalization of interval valued intuitionistic fuzzy set. A new method for ranking the alternatives of the MCDM problem based on WGAO and the new score function is presented and an algorithm is developed for this purpose. The working of the algorithm is explained with an example and the efficiency and superiority of the tools and new method are established with the help of a critical comparison study. It is shown that the proposed method works efficiently in solving the MCDM problem in fuzzy environment.
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