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.