高阶(F,η)-不变凸性下的多目标分式规划的最优性条件  

Optimality Conditions for Higher-order(F,η)-Invexity Multiobjective Fractional Programming

作　　者：高晓艳[1] 岳冬萍 王雪峰[1] GAO Xiao-yan;YUE Dong-ping;WANG Xue-feng(College of Science,Xi'an University of Science and Technology,Xi’an 710054,China)

机构地区：[1]西安科技大学理学院,陕西西安710054

出　　处：《数学的实践与认识》2020年第2期243-251,共9页Mathematics in Practice and Theory

基　　金：陕西省自然科学基金研究计划项目(2017JM1041).

摘　　要：定义了一类新的广义高阶(F,η)-不变凸函数、高阶(F,η)-伪不变凸函数、高阶(F,η)-拟不变凸函数等,并用若干的实例验证了该函数的存在性.在新广义凸函数的约束下,给出并证明了一类具有该广义凸性的多目标分式规划问题有效解和弱有效解的最优性充分条件.In this paper,we define a new class of generalized higher-order(F,η)-invexity functions,higher-order(F,η)-pseudo invexity functions and higher-order(F,η)-quasi invexity functions.And the existence of the function is verified by several examples.Under the constraint of the new generalized convex function,the optimality sufficient conditions for the efficient solutions and weak efficient solutions of a class of multiobjective fractional programming problems with the generalized convexity are given and proved.

关 键 词：高阶(F η)-不变凸 多目标分式规划 最优性条件 有效解 弱有效解 

分 类 号：O221.6[理学—运筹学与控制论]