摘要
本文在Goetschel和Voxman所建立的拓扑向量空间中引入了反模糊数的概念,并建立了反模糊数空间,讨论了有关的基本性质.在此基础上,引入了凸模糊映射的共轭映射的定义,并证明了凸模糊映射的共轭集合和共轭映射都是凸的.
In this paper, the notion of anti-fuzzy number is introduced in the topological vector space constructed by Goetschel and Voxman, anti-fuzzy number space is established, and some basic properties are discussed. Based on the above discussion, the definition of conjugate mapping of convex fuzzy mapping, and the convexities of conjugate set and conjugate mapping of convex fuzzy mapping are investigated.
基金
辽宁省科学技术基金(20052146)
大连大学博士基金
关键词
模糊数
反模糊数
凸模糊映射
共轭映射
fuzzy numbers
anti-fuzzy number
convex fuzzy mappings
conjugate mapping.
