An Innovative Distance Measure for Picture Fuzzy Sets and Applications in Medical Diagnosis and Pattern Analysis

Abstract

In this paper, we proposed a novel distance measure and applied on picture fuzzy sets which have the various applications in uncertain problems that cannot be solved easily by fuzzy set, intuitionistic fuzzy sets, fermatean fuzzy sets, Pythagorean fuzzy sets, ortho-pair fuzzy sets easily. We can explore these sets with the help of problems in the field of personnel selection, pattern analysis, medical diagnosis, or human voting etc. This field type of problem required the answer in the form of yes, no, refusal and abstain. The distance measures play an important role for comparing the picture fuzzy sets. If we take a look in the background of literature then we find a lot of works have been done on distance measures for picture fuzzy sets. Unreasonable results in most of the problems have been found, all of these distance measures. So, we are suggesting a new distance measures for picture fuzzy sets in this paper which is more effective and useful compare to the already existed distance measures. We also illustrating its importance, classification and medical problems and view on performance with existed measures.