n维模糊映射的预拟不变凸性及其应用  

n-Dimensional Prequasi-invex Fuzzy-number-valued Functions and Its Application

作　　者：白玉娟[1] 刘坤[1] 张琛[1] BAI Yu-juan;UU Kun;ZHANG Chen(Longdong University,Qingyang 745000,China)

机构地区：[1]陇东学院

出　　处：《廊坊师范学院学报（自然科学版）》2019年第2期10-13,共4页Journal of Langfang Normal University(Natural Science Edition)

基　　金：甘肃省科技计划“不确定混合数据环境下个性化推荐系统研究”(18JR3RM238);甘肃省高等学校科研项目“模糊图的可区别染色及其在组合优化问题中的应用研究”(2018A-101)

摘　　要：利用n维模糊数空间上偏序关系,提出了n维模糊映射的预拟不变凸性、严格及半严格预拟不变凸性的概念,讨论了它们之间的关系,并研究了以上广义凸模糊映射在模糊凸优化理论中的应用。Based on the ordering of fuzzy numbers proposed,in this paper the definition of prequasi-invexity,strict prequasi-invexity and semistrict prequasi-invexity of n-dimensional fuzzy-number-valued functions is given,some relation of these prequasi-invex n-dimensional fuzzy-number-valued functions can be obtained.As an application,the local strictly optimal solution and global optimal solution in the mathematical programming problem are discussed.

关 键 词：模糊数 模糊数值函数 预拟不变凸性 

分 类 号：O159[理学—数学]