The Degree of Symmetry of Fuzzy Relations
摘要
Based on fuzzy equality derived from t-norm, two kinds of the degree of symmetry of fuzzy relations are discussed. Some fundamental properties are provided. Furthermore, for continuous t-norm, a symmetric fuzzy relation that closely approximates a given fuzzy relation is constructed. Some algorithm is designed to realize this approximation. Finally, similar results for some left-continuous t-norm are given.