Introduces a novel decision-making tool based on linguistic bipolar fuzzy sets, highlighting its effectiveness in power distribution systems.
The key theme of this manuscript is to introduce the linguistic bipolar fuzzy sets, which are a modified version of the linguistic information and bipolar fuzzy set theory. Additionally, we propose the Einstein operational laws based on linguistic bipolar fuzzy information for evaluating the prioritized aggregation operators, such as the linguistic bipolar fuzzy prioritized Einstein averaging operator and linguistic bipolar fuzzy prioritized Einstein geometric operator, with three basic properties for each operator, called idempotency, monotonicity, and boundedness. Moreover, we aim to construct the multi-attributive border approximation area comparison tool and the multi-attribute decision-making tool based on the designed operators. Furthermore, we illustrate the design of some numerical analyses for evaluating the decision-making technique and suggest models to describe the authority of the planned theory. Finally, by considering the proposed ranking values, we aim to compare them with the ranking values of the existing models for assessing the validity of the described theory.
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Ashraf et al. (2026) studied this question.
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