对于模糊知识中"否定"的认知与处理,文中从概念层面上区分模糊知识中的矛盾否定关系与对立否定关系,研究发现了模糊知识中存在一规律:一对对立的概念为模糊概念,则它们之间必然存在"中介"的模糊概念;反之,如果一对对立的概念之间存在中介的模糊概念,则对立的概念必然是模糊概念.因此,作者提出在模糊知识的否定关系中存在三种不同的否定关系,即矛盾否定关系、对立否定关系和中介否定关系,并给出它们的形式定义.为了能够刻画这些关系的内在性质与联系,作者提出了一种新的具有矛盾否定、对立否定和中介否定的模糊集FSCOM,并讨论了FSCOM的特征、FSCOM的基本运算与性质以及FSCOM与Zadeh模糊集的关系等.在后续文中将表明,FSCOM是一种处理实际中的模糊知识及其各种否定的有效方法.
Negative relation in fuzzy knowledge is differentiated as contradictory negative relation and opposite negative relation in this paper,and a character of fuzzy knowledge is discovered: If two opposite concepts are fuzzy concepts then must exist a "medium" fuzzy concept between them,contrarily if there is medium fuzzy concept between the two concepts then two concepts must be fuzzy concepts.We thus propose that negative relations in fuzzy knowledge included contradictory,opposite and medium negative relation.In order to describe intrinsic properties of these relations,we define a new fuzzy set FSCOM with contradictory negation,opposite negation and medium negation,discuss that characteristics of FSCOM,operations and their properties in FSCOM,as well as relationship with Zadeh' fuzzy set and so on.In next paper which will shows that FSCOM is an effective method for handling the various negations of fuzzy information.