软映射的模糊化  

On Fuzzification Soft Mappings

作　　者：刘莹莹[1] 辛小龙[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《模糊系统与数学》2013年第5期33-39,共7页Fuzzy Systems and Mathematics

基　　金：陕西省教育厅专项科研基金资助项目(08JK472)

摘　　要：Molodtsov提出的软集理论是解决不确定性问题的一种有效的数学工具。本文将软映射进行模糊化,给出了模糊化的软映射的定义及其性质,并进一步引入了强(弱)单射和强(弱)满射的定义,还研究了模糊集和模糊软集在模糊化的软映射下的像以及原像的性质。Molodtsov introduced the theory of soft sets, which can be used as an effective mathematical tool for dealing with vagueness. Based on the analysis of soft mappings, we introduce the concept of fuzzification soft mappings and study their properties. Then we introduce the notions of strongly （weakly） injective and strongly （weakly） surjective. Finally, we investigate the properties of the images and the inverse image of fuzzy sets and fuzzy soft sets under fuzzy soft mappings.

关 键 词：模糊软集 软映射 模糊化的软映射 像 

分 类 号：O159[理学—数学]