Rough Posynomial Geometric Programming

被引：6
|
作者：
Cao, Bing-Yuan [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou Higher Educ Mega Ctr, Guangzhou 510006, Guangdong, Peoples R China
来源：
FUZZY INFORMATION AND ENGINEERING | 2009年 / 1卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Rough set; Posynomial; Geometric programming; Rough number; Antinomy; Satisfactory solution;
D O I：
10.1007/s12543-009-0003-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A rough posynomial geometric programming is put forward by the author. This model is advantageous for us to consider questions not only from the quantity of aspect, but from the quality because it contains more information than a traditional geometric programming one. Here, 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.
引用
收藏
页码：37 / 57
页数：21
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