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Extending ARAS with Integration of Objective Attribute Weighting under Spherical Fuzzy Environment

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  • Sait Gül

    (Management Engineering Department, Faculty of Engineering and Natural Sciences, Bahçeşehir University, Beşiktaş, İstanbul 34353, Turkey)

Abstract

Various fuzzy sets have been developed in the recent years to model the uncertainty in judgments. Spherical fuzzy set (SFS) concept is one of these developments. It can provide an extensive preference domain for decision-makers by allowing them to state their hesitancy more explicitly. The peculiarity of SFS is that the squared sum of membership, nonmembership, and hesitancy degrees should be between 0 and 1 while each is independently defined in [0, 1]. In this study, ARAS as one of the most applied multiple attribute decision-making approaches is extended into a spherical fuzzy environment. Entropy-based and OWA operator-based objective attribute weights are also integrated with the newly proposed spherical fuzzy ARAS for coping with the drawbacks of subjective weighting such as longer data collection time and manipulation risk. The applicability of the proposition is shown in a hypothetical example of a product design problem and its robustness is shown by a comparative analysis.

Suggested Citation

  • Sait Gül, 2021. "Extending ARAS with Integration of Objective Attribute Weighting under Spherical Fuzzy Environment," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 1011-1036, May.
    • Handle: RePEc:wsi:ijitdm:v:20:y:2021:i:03:n:s0219622021500267
    DOI: 10.1142/S0219622021500267
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