Sustainable performance analysis and ranking of organizations through fuzzy multi-criteria group decision making - A case study
1 Part-time Ph.D. Scholar in Department of Mechanical Engineering, College of Engineering(A), Andhra University, Visakhapatnam-3, Andhra Pradesh, India.
2 Professor, Department of Mechanical Engineering, College of Engineering(A), Andhra University, Visakhapatnam-3, Andhra Pradesh, India
Case Study
GSC Advanced Engineering and Technology, 2021, 02(01), 030–046.
Article DOI: 10.30574/gscaet.2021.2.1.0045
Publication history:
Received on 12 November 2021; revised on 20 December 2021; accepted on 22 December 2021
Abstract:
In this paper, a decision support methodology for multiple attributes group decision making problem is developed. The proposed methodologies are based on Data Envelopment Analysis (DEA), Grey Relation analysis (GRA) and hybrid GRA-DEA methods. These methods are implemented for evaluation and ranking of organizations in sustainable perspective. In the proposed methods, the payoff values of alternatives are expressed in linguistic terms, given by the decision makers. Then, these linguistic terms are described by triangular fuzzy numbers. Charnes model of DEA is formulated in fuzzy environment to determine efficiencies of DMUs. Following the GRA method’s algorithm, a relative closeness coefficient is defined to determine the ranking order of all alternatives by calculating the distances to the fuzzy positive-ideal solution (FPIS), as well as to the fuzzy negative-ideal solution (FNIS). Also, performance evaluation of these companies is made through hybrid GRA-DEA in fuzzy environment. The weights of the criteria are determined objectively during evaluation of these companies in the proposed GRA and DEA-GRA methods. Comparison of proposed approaches is made and final ranking of the organizations is sustainable perspective is arrived. The proposed methodologies are illustrated with a case study of five steel manufacturing companies in India.
Keywords:
Sustainable performance; Categorical regression analysis; Grey relation analysis; Multi criteria decision making
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