FUZZY PREINVEX FUNCTIONS

被引：75

作者：

NOOR, MA

机构：

[1] Mathematics Department, College of Science, King Saud University, Riyadh

来源：

FUZZY SETS AND SYSTEMS | 1994年 / 64卷 / 01期

关键词：

FUZZY CONVEX FUNCTIONS; FUZZY SETS; QUASI-FUZZY FUNCTIONS; LOGARITHMIC FUZZY PREINVEX FUNCTIONS; FUZZY VARIATIONAL-LIKE INEQUALITIES; OPTIMIZATION;

D O I：

10.1016/0165-0114(94)90011-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce the concept of fuzzy preinvex functions and invex sets. These functions are more general than convex fuzzy functions and when differentiable are fuzzy invex. Some different types of fuzzy preinvexity functions are defined and their properties are studied. It is proved that the minimum of the fuzzy preinvex functions on the invex sets can be characterized by variational-like inequalities.

引用

页码：95 / 104

页数：10

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