Abstract
The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is considered among the most frequently used techniques to deal with multi-criteria group decision-making (MCGDM) conflicts. In this article, we have presented an extended TOPSIS technique in the framework of interval type-2 trapezoidal Pythagorean fuzzy numbers (IT2TrPFN). We first projected a novel approach to evaluate the distance between them using ordered weighted averaging operator and (alpha ,beta )-cut. Subsequently, we widen the concept of TOPSIS method formed on the distance method with IT2TrPFNs and applied it on MCGDM dilemma by considering the attitudes and perspectives of the decision-makers. Lastly, an application of solar tracking system and numerous contrasts with the other existing techniques are presented to express the practicality and feasibility of our projected approach.
Highlights
“Multi-criteria group decision-making” (MCGDM) is a branch of operational research that yields results to rank and assess the optimum alternatives from set of alternatives under multiple criterion regarding multiple decision-maker’s choices and preferences Celik et al (2015)
“Pythagorean fuzzy sets” (PFS) pioneered by Yager (2013) is a generalization of intuitionistic fuzzy sets” (IFS) being an innovative tool used for modeling imprecision and ambiguous information occurring in multi-criteria group decision-making (MCGDM) problems
One of the most powerful theories is that of the multi-attribute decisionmaking (MADM) known as multi-criteria decision-making (MCDM) or multicriteria decision-analysis (MCDA) for handling problems that extensively impact the human real-life problems
Summary
“Multi-criteria group decision-making” (MCGDM) is a branch of operational research that yields results to rank and assess the optimum alternatives from set of alternatives under multiple criterion regarding multiple decision-maker’s choices and preferences Celik et al (2015). There are various MCGDM techniques including ELECTRE, fuzzy VIKOR, PROMETHEE, fuzzy AHP, fuzzy ANP Celik et al (2015), Kahraman et al (2015), Chen (2011), Chen et al (2012), Touqeer et al (2020), Touqeer et al (2020), Touqeer et al (2020) All these MCGDM techniques engages FSs that are not capable to handle indeterminacy and irregularity involved in MCGDM processes so, in the recent times, few Pythagorean MCGDM strategies have been productively established for dealing with such ambiguities. Many useful tactics have been established to enrich PFS theory Another approach involving MCGDM problem under fuzzy framework was presented by Yang et al (2020) where TOPSIS is extended in trapezoidal interval type-2 fuzzy environment using -cut.
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