关于模糊映射的凸性与严格凸性  

On convexity and strict convexity of fuzzy mappings

作　　者：包玉娥[1] 吴从炘[1] 

机构地区：[1]哈尔滨工业大学数学系

出　　处：《哈尔滨工业大学学报》2007年第4期639-641,共3页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(10271035)

摘　　要：在已有文献的基础上,讨论了模糊映射的凸性和严格凸性之间的关系,得到了凸模糊映射为严格凸模糊映射的充分条件.在下半连续条件下,又给出了凸模糊映射和严格凸模糊映射的若干个充分条件.Based on refrence, the relationship between convexity and strict convexity of fuzzy mapping is discussed and the result that convex fuzzy mapping is the sufficient condition for strictly convex fuzzy mapping is obtained. Also several sufficient conditions for convexity and strict convexity of fuzzy mapping under the condition of lower semicontinuity are inferred.

关 键 词：下半连续 凸模糊映射 严格凸模糊映射 

分 类 号：O159[理学—数学]