多值区间直觉模糊软集  

Multi-valued Interval Intuitionistic Fuzzy Soft Set

作　　者：段梦雅 吴涛[1,2] 马闯[1] 

机构地区：[1]安徽大学数学科学学院,合肥230039 [2]安徽大学教育部计算智能与信号处理重点实验室,合肥230039

出　　处：《合肥学院学报（自然科学版）》2016年第1期9-12,51,共5页Journal of Hefei University :Natural Sciences

基　　金：安徽省高等学校省级自然科学研究重点项目(KJ2013A033);安徽大学研究生学术创新研究项目资助

摘　　要：软集理论作为一种处理不确定性问题的新数学工具,弥补了传统不确定性理论在参数不足的缺陷,近年来在理论上得到长足发展,但是忽略了元素的像为多值且隶属度和非隶属度为区间数情形的讨论。将多值直觉模糊软集推广到多值区间直觉模糊软集,并给出了多值区间直觉模糊软集的一些运算(交,并,补),讨论了其相应的一些性质,从而能更好的描述和求解不确定问题。As a new mathematical tool to deal with uncertainty problems, soft set theory makes up for the shortages of the traditional uncertainty theory in parameters, and its theory and applications have get great progress. But the case that elements mapping are multiple value and the membership and non-membership are interval numbers has not been discussed. Multi-valued intuitionistic fuzzy soft set will be extended to multi-valued interval intuitionistic fuzzy soft set in this article, the operations of multi-valued interval intuitionistic fuzzy soft set and their properties are presented. Multi-valued interval intuitionistic fuzzy soft set can describe the practical uncertainty issue better.

关 键 词：模糊软集 多值直觉模糊集 多值区间直觉模糊软集 

分 类 号：O159[理学—数学]