In this paper,a new implication operator:λ-weak implication is introduced to solve the problem that the ex-isting fuzzy implication operators are not sensitive to the diference of argument values.First,two ways of synthesizingλ-weak implication are given.Secondly,three types of λ-weak implication families are presented,i.e,(F,N)-λ-weak implication family,f-generated-λ-weak implication family and g-generated-λ-weak implication family,and the algebraic properties of these implication families,such as left neutrality property,exchange principe,ordering property and the contrapositive symmetry with respect to fuzzy negation are discussed.Finally,the λ-weak implication is applied to the full implication reasoning algorithm,and the algorithm is es-tablished based on a special type of λ-weak implication op-erators and the reducibility of the algorithm is analyzed.
关键词
λ-弱蕴涵/聚合函数/生成子/模糊推理三Ⅰ算法/支持度理论
Key words
λ-Weak Implication/Aggregate Function/Generator/Full Implication Reasoning Algorithm/Support Degree Theory
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