有界闭模糊复数集上映射的几个不动点性质  

Some fixed point properties of mapping on set of bounded closed fuzzy complex numbers

作　　者：马生全[1] 李固新[2] 张诚一[1] 

机构地区：[1]海南师范大学数学系,海南海口571158 [2]河南驻马店教育学院计算机系,河南驻马店463000

出　　处：《辽宁工程技术大学学报（自然科学版）》2008年第1期152-154,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(60364001,70461001);海南师范大学教授(博士)科研基金项目(HSBS0607)

摘　　要：首先介绍了模糊复集与模糊复数的相关概念,根据复模糊集的多元扩张原理给出有界闭模糊复数的一般运算。其次,给出模糊复数序列依度量收敛的概念,在有界闭模糊复数构成的度量空间上给出模糊复数值映射的连续性和压缩映射概念。再次,重点研究了此度量空间上模糊复数值映射的不动点问题,得到了有关此映射不动点、最大不动点和最小不动点存在性的一些新结果,为进一步在经济和工程技术领域的应用奠定了理论基础。This paper first introduces the basic concepts of fuzzy complex sets and fuzzy complex numbers. By extended principle of fuzzy complex sets, the generalized operations of the bounded closed fuzzy numbers are given. Second, on the bounded closed fuzzy number fuzzy metric space, the concepts of convergence in metric for fuzzy complex number sequences and the continuity of fuzzy complex number-valued mapping are given .And then, we investigate some fixed point properties of the mapping on the set of bounded closed fuzzy complex numbers, and draw some new-conclusions, which will lay a foundation for researching its application in the economic-and engineering fields.

关 键 词：模糊复集 有界闭模糊复数 模糊复数值映射 不动点 

分 类 号：O159[理学—数学]