模糊全区间序结构  

FUZZY TOTAL INTERVAL-ORDER STRUCTURES

作　　者：王绪柱[1] 宋雪丽[1] 

机构地区：[1]太原理工大学理学院数学系,山西太原030024

出　　处：《数学杂志》2005年第3期320-326,共7页Journal of Mathematics

基　　金：山西省青年科技研究基金资助项目(20031010).

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.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 

分 类 号：O159[理学—数学]