Measures of cosine similarity intended for fuzzy sets, intuitionistic and interval-valued intuitionistic fuzzy sets with application in medical diagnoses

摘要

Medical diagnosis deals with uncertainty, unpredictability and insufficient information because of the nature of the subject. Fuzzy sets and its various generalizations are tools that can measure uncertainty and vagueness in a better way. In this communication we have derived cosine similarity measures that can determine similarity between two fuzzy sets or between two intuitionistic fuzzy sets or between two interval-valued intuitionistic fuzzy sets. Further, we have applied it to diagnose a disease on the basis of similarity between symptoms and a pattern.