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Propositional Picture Fuzzy 2-Tuple Linguistic Aczel-Alsina Power Aggregation Operators and Their WASPAS and TOPSIS Methods: Application to Hazardous Waste Treatment Facilities
Zeeshan Ali
Hazardous waste treatment facilities are modified and specialized facilities constructed to safely deal with hazardous waste resources, which pose important risks to human health and the situation due to their physical, chemical, and biological properties. In this manuscript, we compute the novel technique of propositional picture fuzzy 2-tuple linguistic (PPF2-TL) set, where the grades in PPF2-TL sets are linked with each other with the help of parameters. Further, some algebraic operational laws and Aczel-Alsina operational laws for PPF2-TL values are presented. Moreover, we describe the technique of PPF2-TL Aczel-Alsina power averaging (PPF2-TLAAPA) operator, PPF2-TL Aczel-Alsina power weighted averaging (PPF2-TLAAPWA) operator, PPF2-TL Aczel-Alsina power geometric (PPF2-TLAAPG) operator, PPF2-TL Aczel-Alsina power weighted geometric (PPF2-TLAAPWG) operator, and their basic properties. Additionally, we evaluate the model of technique for order of preference by similarity to the ideal solution (TOPSIS) method and weighted aggregates sum product assessment (WASPAS) method by using the initiated operators and measures. Further, we resolve the problem of hazardous waste treatment facilities by using the technique of multi-attribute decision-making (MADM) method to enhance the worth of the proposed theory. Finally, we illustrate some examples for comparing the initiated ranking values with some existing ranking techniques to show the supremacy and flexibility of the proposed ranking techniques.
Keywords: Aczel-Alsina power aggregation operators, Hazardous waste treatment facilities, Propositional picture fuzzy 2-tuple linguistic sets, WASPAS method, TOPSIS method