Model for transforming Vague sets into Fuzzy sets based on convex simplex

作者：Wei Bo^*; Peng Jun Huan; Yang Hong Lei

来源：Pattem Recognition and Aitificial Intelligence, 2012, 25(3): 426-434.

• Convex simplex
• Corresponding relations
• Geometric interpretation
• Transformation methods
• Transformation model
• Transformation rules
• Vague sets

Making use of a corresponding relation between Vague sets and the three triangles within a same plane of convex simplex, a simplex geometric expression is presented for Vague sets and transforming them into Fuzzy sets. It effectively solves the problem of geometric interpretation in methods or models for transforming Vague sets into Fuzzy sets. A simplex transformation model(S-TM) is proposed for transforming Vague sets into Fuzzy sets, and the corresponding transformation rules are also presented. Compared with the existing transformation methods or models, the proposed S-TM is more effective and visualized in geometric expression, and more explicit and determinate in geometric interpretation. Comparative results show that transforming Vague sets into Fuzzy sets is fuzzy and gradual.

• 出版日期2012
• 单位桂林理工大学