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利用Vague集与凸面单形体同一平面内3个三角形的对应关系,给出一种Vague集及其向Fuzzy集转化的单形体几何表示方法,有效解决Vague集向Fuzzy集转化方法或模型中的几何解释问题.提出Vague集向Fuzzy集转化的单形体转化模型(S-TM),以及应满足的转化准则.与已有转化方法或模型相比,S-TM具有更直观的几何表示和更明确、更确定的几何解释,是一种更为有效的转化模型,并说明Vague集向Fuzzy集的转化具有模糊性和逐渐转化性.
By using the correspondence between Vague sets and three triangles in the same plane of a convex single body, a new method of geometric representations of single Vague sets and its transformation to Fuzzy sets is presented, which can effectively solve the problem that the geometry To explain the problem, this paper proposes a simplex transformation model (S-TM) that converts the Vague sets to a fuzzy set, and the transformation rules that should be met. Compared with the existing transformation methods or models, S-TM has a more intuitive geometric representation and a more definite , A more definite geometric explanation is a more effective transformation model, and shows that the transformation from Vague sets to Fuzzy sets has fuzziness and gradual transformation.