Likelihood-based agreement measurements with Pythagorean fuzzy paired point operators to enrichment evaluations and priority determination for an uncertain decision-theoretical analysis

This paper aims to initiate a useful Pythagorean fuzzy likelihood function on grounds of paired point operators and scalar-valued functions, and to contrive several likelihood-based agreement measurements for enrichment evaluations and priority determination within the framework of uncertain multiple criteria analysis. This paper exploits the characterization parameters of Pythagorean membership grades to expound paired point operators and further reveals relevant theoretical benefits. Supported by scalar-valued functions regarding the admissible lower and upper estimations, an innovative likelihood function is propounded for ascertaining the possibility of Pythagorean fuzzy dominance relations. Based on the advanced superiority and inferiority estimations, a number of valuable likelihood-based agreement measurements are unfolded to enrich the assessments, including (dis)agreement measures via rank-wise fittingness, expected (dis)agreement measures as a proxy for satisfaction and hygiene estimations, and overall (dis)agreement measures. An efficacious linear programming model with a hygiene threshold is constructed for prioritizing competing alternatives. A pragmatic decision-making issue related to hospital-based post-acute care is explored to inquire into application outcomes using the established techniques. Additionally, certain comparative analyses are performed to verify the helpfulness and interesting features possessed by the advanced approach.