摘要
给出了三族模糊蕴涵算子分别称它们为L-λ-0(λ∈[21,1])、L-λ-G(λ∈[0,1])与L-λ-0-λ-G(λ∈[0,1])族模糊蕴涵算子。L-λ-0族算子包括Lukasiewicz(简称RLu)算子与R0算子,L-λ-G族算子包括RLu算子与Go。del(简称RG)算子,L-λ-0-λ-G族算子包括RLu算子、R0算子与RG算子。本文主要讨论L-λ-G(λ∈[0,1])族模糊蕴涵算子的伴随算子及其正则性。
In this paper we propose three family of fuzzy implication operators, they are called families L-λ- 0,λ∈ [0,1]of fuzzy implication operators, families L-λ-G,λ∈ [0,1]of fuzzy implication operators and families L-λ-0-λ-G,λ∈[0, 1]of fuzzy implication operators, respectively. L-λ-0 contains I.ukasiewicz （for short RLu） operator and R0 operator, L-λ-G contains RLu operator and Godel （for short RG） operator, L-λ-0-λ-G contains RI; operator, R0 operator and RG operator. The residue and regularity of family L-λ-G of fuzzy implication operator are mainly discussed.
出处
《模糊系统与数学》
CSCD
北大核心
2007年第5期8-13,共6页
Fuzzy Systems and Mathematics
基金
山东省自然科学基金资助项目(Y2003A01)
关键词
蕴涵算子族
伴随算子
正则性
Family of Implication Operator
Residue Operator
Regularity
