Development of q-Rung Orthopair Trapezoidal Fuzzy Einstein Aggregation Operators and Their Application in MCGDM Problems

Authors

  • Arun Sarkar Department of Mathematics, Heramba Chandra College, India
  • Animesh Biswas Department of Mathematics, University of Kalyani, India
  • Moitreyee Kundu Department of Mathematics, University of Kalyani, India

DOI:

https://doi.org/10.47852/bonviewJCCE2202162

Keywords:

multicriteria group decision-making, q-rung orthopair trapezoidal fuzzy number, Einstein operations, weighted averaging and weighted geometric aggregating operators

Abstract

Compared to previous extensions, the q-rung orthopair fuzzy sets are superior to intuitionistic ones and Pythagorean ones because they allow decision-makers to use a more extensive domain to present judgment arguments. The purpose of this study is to explore the multicriteria group decision-making (MCGDM) problem with the q-rung orthopair trapezoidal fuzzy (q-ROTrF) context by employing Einstein t-conorms and t-norms. Firstly, some arithmetical operations for q-ROTrF numbers, such as Einstein-based sum, product, scalar multiplication, and exponentiation, are introduced based on Einstein t-conorms and t-norms. Then, Einstein operations-based averaging and geometric aggregation operators (AOs), viz., q-ROTrF Einstein weighted averaging and weighted geometric operators, are developed. Further, some prominent characteristics of the suggested operators are investigated. Then, based on defined AOs, a MCGDM model with q-ROTrF numbers is developed. In accordance with the proposed operators and the developed model, two numerical examples are illustrated. The impacts of the rung parameter on decision results are also analyzed in detail to reflect the suitability and supremacy of the developed approach.

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Published

2022-04-12

How to Cite

Sarkar, A., Biswas, A., & Kundu, M. (2022). Development of q-Rung Orthopair Trapezoidal Fuzzy Einstein Aggregation Operators and Their Application in MCGDM Problems. Journal of Computational and Cognitive Engineering, 1(3), 109–121. https://doi.org/10.47852/bonviewJCCE2202162