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

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

International Journal of Information Technology & Decision Making (IJITDM), 2021, vol. 20, issue 03, 1011-1036

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.

Keywords: Spherical fuzzy sets; ARAS; linguistic assessment; objective weighting; entropy; OWA (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0219622021500267

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