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A neutrosophic enhanced best–worst method for considering decision-makers’ confidence in the best and worst criteria

Author

Listed:
  • Amin Vafadarnikjoo

    (University of East Anglia)

  • Madjid Tavana

    (La Salle University
    University of Paderborn)

  • Tiago Botelho

    (University of East Anglia)

  • Konstantinos Chalvatzis

    (University of East Anglia
    University of East Anglia)

Abstract

The best–worst method (BWM) is a multiple criteria decision-making (MCDM) method for evaluating ≤a set of alternatives based on a set of decision criteria where two vectors of pairwise comparisons are used to calculate the importance weight of decision criteria. The BWM is an efficient and mathematically sound method used to solve a wide range of MCDM problems by reducing the number of pairwise comparisons and identifying the inconsistencies derived from the comparison process. In spite of its simplicity and efficiency, the BWM does not consider the decision-makers’ (DMs’) confidence in their pairwise comparisons. We propose a neutrosophic enhancement to the original BWM by introducing two new parameters as the DMs’ confidence in the best-to-others preferences and the DMs’ confidence in the others-to-worst preferences. We present two real-world cases to illustrate the applicability of the proposed neutrosophic enhanced BWM (NE-BWM) by considering confidence rating levels of the DMs.

Suggested Citation

  • Amin Vafadarnikjoo & Madjid Tavana & Tiago Botelho & Konstantinos Chalvatzis, 2020. "A neutrosophic enhanced best–worst method for considering decision-makers’ confidence in the best and worst criteria," Annals of Operations Research, Springer, vol. 289(2), pages 391-418, June.
    • Handle: RePEc:spr:annopr:v:289:y:2020:i:2:d:10.1007_s10479-020-03603-x
    DOI: 10.1007/s10479-020-03603-x
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    References listed on IDEAS

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