Novel picture fuzzy distance measure ρ∗ and its application in medical diagnosis

Abstract

In this research work, we introduced novel distance measure in picture fuzzy sets and prove all the triangle inequality associated with it. There is an introduction to the use of the distance measure in medical diagnostics. In addition to this, we have shown a comparison between two distance functions ρ and ρ∗ in this research work. Our observation indicates that the novel fuzzy distance measure ρ∗ exhibits greater efficacy in the context of disease diagnosis compared to the conventional measure ρ.

Keywords

• Metric axioms
• Picture fuzzy sets
• Mathematical analysis
• Medical diagnosis
• Fuzzy inference