Aczel-Alsina Aggregation Operators for Pythagorean Fuzzy Linear Diophantine Set and Application to Multiple-Attribute Decision-Making Problem Related to Medical Diagnosis

Pythagorean fuzzy set is a useful expansion of intuitionistic fuzzy set for dealing with ambiguities, which mostly occur in real-life problems. Aczel-Alsina also possesses certain advantages in case of solving these problems. Linear Diophantine fuzzy set plays a crucial role in solving decision-making and medical diagnosis-related issues. In this study, Aczel-Alsina operations are being used to introduce several Pythagorean fuzzy linear Diophantine Aczel-Alsina weighted averaging (PFLDAAWA), Pythagorean fuzzy linear Diophantine Aczel-Alsina ordered weighted averaging (PFLDAAOWA), Pythagorean fuzzy linear Diophantine Aczel-Alsina weighted geometric (PFLDAAWG) and Pythagorean fuzzy linear Diophantine Aczel-Alsina ordered weighted geometric (PFLDAAOWG) operators. The properties of these operators are examined in detail. The benefit of using progressive operators is that they deliver more understanding of the scenario to the decision-makers. Proposed operators are utilized to elaborate multi-attribute decision-making (MADM) which is related to medical diagnosing issues. By comparing with existing techniques, our proposed operator has high stability related to multi-attribute decision-making (MADM) under PFLD data set.