Pythagorean Fuzzy Multisets and their Applications to Therapeutic Analysis and Pattern Recognition

Abstract

Most of the real life problems embroil uncertainties, imprecision and vagueness. Fuzzy multisets and Pythagorean fuzzy sets, initially suggested by Yager, are significant mathematical models to handle such real world problems. By combining these two notions, we introduce a new kind of hybrid mathematical model: Pythagorean fuzzy multisets (PFM-sets). We present some prime concepts of Pythagorean fuzzy multisets and establish various algebraic operations on them along with some important results. We render two applications to multi-attribute group decision making (MAGDM), accompanied by algorithms and flow charts, established on PFM-sets: One in therapeutic analysis linking medical and mathematical sciences and the other in pattern recognition.