Model for Transforming Vague Sets into Fuzzy Sets Based on Convex Simplex
WEI Bo1,2,3, PENG Jun-Huan1, YANG Hong-Lei1
1.School of Land Science and Technology,China University of Geosciences Beijing,Beijing 100083 2.College of Geomatics and Geoinformation,Guilin University of Technology,Guilin 541004 3.Guangxi Key Laboratory of Spatial Information and Geomatics,Guilin University of Technology,Guilin 541004
Abstract 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.
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2012, Vol. 25 
