基于三分法的IFS非隶属度函数确定方法  

Technique for Ascertaining Nonmembership Functions of Intuitionistic Fuzzy Sets Based on Trichotomy

作　　者：雷阳[1] 华继学[1] 殷宏燕[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,陕西713800

出　　处：《计算机科学》2009年第1期128-130,共3页Computer Science

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)资助

摘　　要：针对直觉模糊集(IFS)的非隶属度函数难以确定的问题,提出一种基于三分法的IFS非隶属度函数确定方法。首先,给出了确定IFS非隶属度函数的计算公式和非犹豫度指数的概念,规范了IFS非隶属度函数的确定方法,进而给出了非犹豫度指数的性质定理。其次,提出了基于三分法的IFS非隶属度函数的计算方法,给出了正规直觉模糊集的概念,证明了该方法确定的直觉模糊集是正规直觉模糊集。最后,以空袭目标识别的指标参数(飞行高度)实例,验证了方法的有效性。Aiming at the problems of ascertaining nonmembership functions of Intuitionistic Fuzzy Sets （IFS）, a technique for ascertaining nonmembership functions of IFS was proposed. First, calculating formula for ascertaining nonmembership functions of IFS and the conception of non-hesitancy degree were exposed and the technique got into normalization. Moreover, the theorem of properties of non-hesitancy degree was given with the course of proof. Then, calcu- lating method for ascertaining nonmembership functions of IFS based on trichotomy was proposed. Finally, the validity of the proposed method were checked by providing a model of index and parameters, i. e. flight altitude,of air-raid Target Recognition.

关 键 词：直觉模糊集 隶属度函数 非隶属度函数 规范化 三分法 

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]