Power Aggregation Operators in MADM Problems Under Pythagorean Neutrosophic Numbers Based on Hamacher t-norm and t-conorm Operations
Operadores de agregación de energía en problemas MADM bajo números neutrosóficos pitagóricos basados en operaciones t-norm y t-conorm de Hamacher
DOI:
https://doi.org/10.24054/bistua.v22i2.2826Keywords:
Hamacher operators; Pythagorean neutrosophic numbers; Pythagorean neutrosophic Hamacher aggregate operators; MADMAbstract
The notion of Pythagorean neutrosophic sets (PNSs) and their associated Pythagorean neutrosophic numbers (PNNs) is useful for exploring imprecise knowledge under restricted conditions. PNSs address deficiencies in existing theories and are easily applicable to various uncertain problems. On the other hand, Hamacher operators are effective tools for multi-attribute decision-making (MADM). This paper combines PNSs with Hamacher t-norm and t-conorm operators to develop novel aggregation operators based on PNNs, offering a powerful approach to model uncertainty in MADM problems. The proposed aggregation operators include the Pythagorean neutrosophic Hamacher power arithmetic (PNHPA) operator, the power geometric (PNHPG) operator, the power ordered weighted average (PNHPOWA) operator, and the power ordered weighted geometric (PNHPOWG) operator. Key properties of these operators are analyzed to ensure their applicability in MADM. Using these operators, the paper introduces a practical approach to solving multi-attribute decision-making problems under uncertainty represented by PNNs. A numerical example is provided to verify the proposed approach and conduct a comparative analysis to demonstrate its effectiveness against other methods. This study contributes to decision-making by providing innovative tools based on PNNs and Hamacher operators, expanding the ability to model uncertainty and tackle complex problems in multi-attribute contexts.
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