基于绝对比较法的IFS非隶属度函数确定方法  

Techniques for ascertaining nonmembership functions of intuitionistic fuzzy sets based on absolute contrasting method

作　　者：雷阳[1] 华继学[1] 雷英杰[1] 

机构地区：[1]空军工程大学导弹学院计算机工程系

出　　处：《计算机工程与设计》2009年第2期414-415,510,共3页Computer Engineering and Design

基　　金：国家自然科学基金项目(60773209);陕西省自然科学基金项目(2006F18)

摘　　要：直觉模糊集是对Zadeh模糊集最有影响的一种扩充和发展。直觉模糊集非隶属度函数的规范化确定问题,成为制约其应用的一个重要瓶颈。针对直觉模糊集非隶属度函数难以确定的问题,提出一种基于绝对比较法的直觉模糊集非隶属度函数确定方法,给出了详细的算法步骤,并从理论上证明了其正确性。最后,通过实例分析从应用上验证了算法的有效性与实用性。研究表明,该算法可有效地解决元素依属性具有优先特性的一类IFS非隶属度函数确定方法的问题。Intuitionistic fuzzy sets （IFS） is one of the extensions and evolutions of Zadeh fuzzy set. How to ascertain normally nonmembership functions of IFS has become an important bottleneck, which restricts many aspects of applications. To the problems of ascertaining nonmembership functions of intuitionistic fuzzy set, a technique for ascertaining nonmembership functions based on absolute contrasting method is proposed, whose arithmetics and steps are presented in detail with the demonstration of rightness in theory. At last, the validity and practicability of the technique are checked by providing an example analysis in applications. Researches show that the proposed arithmetic has solved the problems of technique for ascertaining nonmem.bership functions of IFS effectively, who have the trait of fixing priority according to different attributions.

关 键 词：直觉模糊集 非隶属度函数 正规直觉模糊集 绝对比较法 目标识别 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程] TP391[自动化与计算机技术—控制科学与工程]