对模糊信息中“否定”的认知与处理是模糊信息研究领域的一个重要的基础问题,对此潘正华提出一种区分矛盾否定、对立否定与中介否定的模糊集FScom。本文提出了FScom集的距离测度与贴近度的公理化定义,讨论了它们各自的性质以及相互间的关系,给出了具体的计算公式,并在实例中讨论了FScom集的距离测度与贴近度的应用。
It is a basic important question that how to cognitive and process the negation of fuzzy information in the field of the research of fuzzy information. A new fuzzy set FScom which has three kinds of negation, that is opposite negation, medium negation and contradictory negation was given by Pan Zheng--hua. This paper puts forward the axiomatic definitions of distance measure and similarity measure of Fuzzy set FScom, researches the relation between distance measure and similarity measure, gives calculation formulas of them, and also an example is given to discuss how to use the distance measure and similarity measure of Fuzzy set FScom to solve practical problem.