节点文献
模糊全区间序结构
FUZZY TOTAL INTERVAL-ORDER STRUCTURES
【摘要】 本文试图对模糊偏好结构及模糊全区间序结构的定义进行探讨,并讨论它们的性质.以Fodor等提出的公理为基础,给出了模糊偏好结构的定义,同时对一类重要的模糊偏好结构—模糊全区间序结构的性质进行了讨论,得出了模糊全区间序结构的一些充要条件.
【Abstract】 In this paper, we attempt to define fuzzy preference structure and fuzzy total interval-order structure and investigate their properties. Based on the axioms proposed by Fodor et al., a general definition of fuzzy preference structure is presented. Meanwhile, the detailed discussion about properties of fuzzy total interval-order structures, a family of important fuzzy structures, is carried out and some sufficient and necessary conditions for fuzzy total interval-order structures are presented.
【关键词】 模糊关系;
模糊偏好结构;
模糊全区间序结构;
【Key words】 fuzzy relation; fuzzy preference structure; fuzzy total interval-order structure;
【Key words】 fuzzy relation; fuzzy preference structure; fuzzy total interval-order structure;
【基金】 山西省青年科技研究基金资助项目(20031010).
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2005年03期
- 【分类号】O159
- 【被引频次】7
- 【下载频次】86