Selection of renewable energy sources: a novel VIKOR approach in an intuitionistic fuzzy linguistic environment

Pankaj Gupta (), Mukesh Kumar Mehlawat () and Faizan Ahemad ()
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Pankaj Gupta: University of Delhi
Mukesh Kumar Mehlawat: University of Delhi
Faizan Ahemad: University of Delhi

Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, 2023, vol. 25, issue 4, No 19, 3429-3467

Abstract: Abstract A new multi-attribute group decision-making (“MAGDM”) method is presented to evaluate, on the basis of conflicting attributes (environmental, economic, and technical), the alternatives in a renewable energy technology (RET) selection problem in an uncertain environment. Trapezoidal intuitionistic fuzzy linguistic numbers (TrIFLNs) are used to treat the uncertainty, and the attribute weights are not known. To evaluate the weights, possibility theory and the Shannon entropy are used. Possibility theory covers the maximum ambiguity of the data, while the Shannon entropy preserves the weighting properties. An improved aggregation operator using Einstein’s operation laws, called the trapezoidal intuitionistic fuzzy linguistic Einstein’s interactive weighted average (TrIFLEIWA) operator, is developed to aggregate the decision experts’ assessments. The TrIFLEIWA operator overcomes some of the drawbacks previously identified in the existing aggregation operators, and reduces information loss. Furthermore, the VIKOR (“VlseKriterijumska Optimizacija I Kompromisno Resenje”) method is advanced for the MAGDM problem in the intuitionistic fuzzy linguistic environment based on TrIFLNs. The VIKOR method emphasizes prioritizing and selecting alternatives from the available options, maintaining maximum utility from the majority and lowest personal regret from the opponent. TrIFLNs provide accessibility to represent the data in a proper and informative manner. Thus, integrating the VIKOR approach and TrIFLNs provides good results with the flexibility to use in other uncertain environments. A real-world problem of RET selection is included to present numerical insights. The effectiveness of the proposed methodology is demonstrated by comparing it with different MAGDM methods.

Keywords: Multi-attribute group decision-making; Renewable energy technologies; Trapezoidal intuitionistic fuzzy linguistic numbers; Possibility theory; Einstein’s weighted average aggregation operator. (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10668-022-02172-2

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