摘要
在rough集合和rough凸集的基础上,提出了rough值集凸函数的概念,建立了rough正项几何规划的知识表示模型、数学模型.此外,研究了rough正项几何规划的数学模型,以及解决多反而少的"悖论"的rough正项几何规划的算法,它可以化为一单项rough正项几何规划后再化为一个rough线性规划来求解.最后,通过数值例证明这一模型和算法的有效性.
A rough convex function concept is advanced in rough value sets on foundation of rough sets and rough convex sets.Besides,a knowledge expression model in rough posynomial geometric programming is established and so is a mathematical one.Thirdly,solution properties are studied in mathematical model of rough posynomial geometric programming,and antinomy of the more-for-less paradox is solved with an arithmetic in rough posynomial geometric programming given,which can be changed into a rough linear programming after monomial rough posynomial geometric programming is solved.Finally,validity in model and algorithm is verified by examples.
出处
《广州大学学报（自然科学版）》
CAS
2011年第1期1-7,共7页
Journal of Guangzhou University:Natural Science Edition
基金
国家自然科学基金项目(70771030
70271047
79670012)资助
广州大学科学基金资助
