E-不变凸效应代数  

E-constant Convex Effect Algebras

作　　者：朱熙 花秀娟[2] ZHU Xi;HUA Xiu-juan(Faculty of Science,Xi＇an Aeronautical University,Xi＇an 710077,China;Department of Apllied Mathematics, Faculty of Science, Xi ~ an University of Technology, Xi~ an 710054, China)

机构地区：[1]西安航空学院理学院,陕西西安710077 [2]西安理工大学应用数学系,陕西西安710054

出　　处：《模糊系统与数学》2018年第2期53-58,共6页Fuzzy Systems and Mathematics

基　　金：陕西省教育厅科研计划项目(15Jk1379);西安理工大学科技创新计划项目(2016CX011);西安航空学院科研基金资助项目(2017KY1226)

摘　　要：本文首先引入了不变凸效应代数,E-不变凸效应代数和E-不变模糊凸效应代数的定义,并给出了相应概念的例子;其次,研究了E-模糊不变凸效应代数在某些条件下得到的集合是稠密的;进而,讨论了如果效应代数上的模糊集是弱下半连续的且它满足一定的条件,则它是E-不变凸模糊效应代数。最后,得到效应代数可嵌入到E-凸效应代数的充要条件。In this paper, we first introduce the notion of constant convex effect algebra, E-constant convex effect algebra and E-constant convex fuzzy effect algebra and gives the corresponding examples of theiri then we study E-constant convex fuzzy effect algebra under certain conditions obtaining a set is dense. Furthermore, we discuss if the fuzzy set of effect algebra is weakly lower semi-continuous and it satisfies certain conditions, then it is E-constant convex fuzzy effect algebra. Finally, we obtain the necessary and sufficient condition that an effect algebra is imbeddable in an E- convex effect alge- bra.

关 键 词：凸效应代数 不变的 序确定的 

分 类 号：O155[理学—数学]