基于蕴涵算子族L-λ-Π的反向三I约束算法  

Fuzzy reasoning reverse triple I constraint method based on family of implication operator L-λ-Π

作　　者：袁一丹 惠小静[1] 王前 YUAN Yidan;HUI Xiaojing;WANG Qian(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《湖北大学学报(自然科学版)》2025年第2期163-172,共10页Journal of Hubei University:Natural Science

基　　金：国家自然科学基金(12261090,12301456)资助。

摘　　要：针对带参数蕴涵算子族L-λ-Π给出模糊推理FMP模型的反向三I约束算法的下确界计算公式和FMT模型的反向三I约束算法的上确界计算公式,并进一步得到其一般化的α-反向三I约束算法的FMP(FMT)下(上)确界的计算公式。Regarding the family of parameterized implication operator L-λ-Π,we provided the calculation formulas for the infimum of the reverse triple I constraint method for fuzzy reasoning FMP and the supremum of the reverse triple I constraint method for FMT.Furthermore,the calculation formulas for the infimum(supremum)of its generalizedα-reverse triple I constraint method were obtained.

关 键 词：蕴涵算子族L-λ-Π 模糊推理 反向三I约束算法 α-反向三I约束算法 

分 类 号：O141.1[理学—数学]