Three-way decision-based conditional probabilities by opinion scores and Bayesian rules in circular-Pythagorean fuzzy sets for developing sustainable smart living framework

Alsattar, Hassan A.; Qahtan, Sarah; Mourad, Nahia; Zaidan, A.A.; Deveci, Muhammet; Jana, Chiranjibe; Ding, Weiping

doi:10.1016/j.ins.2023.119681

Cited by 15 publications

(1 citation statement)

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“…Garg [22] gave Hamacher AOs for IFSs with entropy weight, and Wu and Wei [23] addressed the Hamacher AOs for PyFSs. The idea of Cir-PyFSs was recently developed by Bozyigit et al [19] in 2022, and no one had evaluated any kind of operators, methods, or measures based on Cir-PyFSs, but only was considered by Alsattar et al [24] in developing sustainable smart living framework by the three-way decisionbased conditional probabilities in Cir-PyFSs. In this paper, we focus on this new developed Cir-PyFSs, and give their Hamacher AOs with properties and applied them in the assessment of goldmines.…”

Section: Introductionmentioning

confidence: 99%

Circular Pythagorean Fuzzy Hamacher Aggregation Operators With Application in the Assessment of Goldmines

Ali,

Yang

2024

IEEE Access

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The circular Pythagorean fuzzy (Cir-PyF) sets (Cir-PyFs) not only contain the membership and nonmembership grades, but also have the radius around the circle of each element. Cir-PyFSs can cope with many reallife problems. In this paper, we consider the Hamacher t-norm and t-conorm operational laws for any two Cir-PyF numbers (Cir-PyFNs) and describe their exceptional cases such as algebraic and Einstein operational laws. Furthermore, the Cir-PyF Hamacher averaging (Cir-PyFHA) operator, Cir-PyF Hamacher ordered averaging (Cir-PyFHOA) operator, Cir-PyF Hamacher geometric (Cir-PyFHG) operator, and Cir-PyF Hamacher ordered geometric (Cir-PyFHOG) operator are proposed. Some properties for the above operators are also discussed in detail. Moreover, to select the simplest and best procedure for evaluating the source of gold in mines, we illustrate the application of the multi-attribute decision-making (MADM) technique based on the derived operators. Finally, we demonstrate some examples for comparing the proposed operators with some existing methods to expand the attraction of the proposed way.

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