摘要
模糊逻辑算子是模糊信息融合、模糊推理及模糊决策的重要工具。针对作为模糊逻辑算子重要扩展的直觉模糊逻辑算子,首先引入了直觉模糊集在特殊格上的等价定义。其次,验证了直觉模糊t-模与s-模的若干重要性质。在此基础上,对两种常用的蕴涵算子:直觉模糊S-蕴涵与直觉模糊R-蕴涵所具有的新性质进行讨论和证明,从而便于直觉模糊逻辑算子的进一步应用。
Fuzzy logic operators are important tools for fuzzy information fusion, fuzzy reasoning and fuzzy decision-making. Aiming at the intuitionistic fuzzy logic operators which is a promising extension of fuzzy logic operators, an equivalent definition of IFS on a special lattice was introduced. Several properties of intuitionistic fuzzy triangular norm and conorm were testified and based on this, two kinds of popular implicators, intuitionistic fuzzy strong implicator（S- implicator） and residual implicator（R- implicator） were studied with proving some new properties,which accord facilities for further application of intuitionistic fuzzy triangular norm and implicators.
出处
《计算机科学》
CSCD
北大核心
2008年第11期151-153,共3页
Computer Science
基金
国家自然科学基金(60773209)
陕西省自然科学基金(2006F18)资助
关键词
直觉模糊集合
逻辑算子
直觉模糊三角模
直觉模糊蕴涵算子
Intuitionistic fuzzy set, Logic operators, Intuitionistic fuzzy triangular norm, Intuitionistic fuzzy implicator
