区间集上R_0-代数的特征性质及其简化表示定理  

Characteristic properties of R_0-algebra on interval set and its simplified representation theorem

作　　者：乔希民[1] 

机构地区：[1]商洛学院数学与计算机应用学院,陕西商洛726000

出　　处：《济南大学学报（自然科学版）》2016年第2期118-124,共7页Journal of University of Jinan(Science and Technology)

基　　金：陕西省自然科学基础研究计划(2013JM1023);陕西省教育厅科研计划(11JK0512)

摘　　要：论证区间集上R0-代数的一组有趣特征性质及任意元与其相应的补的最小蕴涵关系式。在引入两个新的运算算子的基础上,进一步讨论区间集上R0-代数的又一组基本特征性质。运用公理化思想简化了区间集上R0-代数表示形式的公理条数,以彰显其公理系统的相对独立性。A set of interesting characteristic properties of R0- algebra on an interval set and the minimum implication relation between an arbitrary element and its corresponding complement are firstly demonstrated,and then another set of basic characteristic properties of R0- algebra are further discussed after the introduction of two new operators. Finally,using axiomatic approaches,we simplify the number of axioms for R0- algebra representation on an interval set to highlight the relative independence of its axiomatic system.

关 键 词：区间集 R0-代数 特征性质 公理化系统 简化表示定理 

分 类 号：O141[理学—数学]