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Multi-criteria decision-making using a complete ranking of generalized trapezoidal fuzzy numbers

Abstract

The decision-making under several uncertainties is a major concern to choose the best alternative among the several separate alternatives. This paper deals with the uncertainty of using a complete ranking classification of generalized trapezoidal fuzzy numbers (GTrFNs). In the view of that several measures such as mode, spread, midpoint the score, radius, left and right fuzziness score and linguistic expression are considered to compute the ranking order of GTrFN. Using the proposed complete ranking of GTrFN, this paper presents a method for solving fuzzy multi-criteria decision-making problems. The comparative analysis of existing methods with our proposed method is also described.

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Acknowledgements

We are grateful to editors and anonymous referees for their valuable comments and helpful suggestions, which have helped us to improve this work significantly.

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Correspondence to Dharmalingam Marimuthu.

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This work is not assisted by any source or any organizations, and this article does not contain any analysis with human participants or animals performed by any of the authors.

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Marimuthu, D., Mahapatra, G.S. Multi-criteria decision-making using a complete ranking of generalized trapezoidal fuzzy numbers. Soft Comput 25, 9859–9871 (2021). https://doi.org/10.1007/s00500-020-05322-8

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  • DOI: https://doi.org/10.1007/s00500-020-05322-8

Keywords

  • Multi-criteria decision-making
  • Fuzzy number
  • Generalized trapezoidal fuzzy number
  • Ranking function
  • Midpoint score
  • Spread