区间值直觉模糊推理的全蕴涵方法  

Full Implication Method of Interval-valued Intuitionistic Fuzzy Reasoning

作　　者：彭家寅[1] PENG Jia-yin(School of Mathematics and Information Science,Neijiang Normal University,Neijiang 641199,China)

机构地区：[1]内江师范学院数学与信息科学学院

出　　处：《模糊系统与数学》2019年第3期35-45,共11页Fuzzy Systems and Mathematics

基　　金：教育部数学与应用数学专业综合改革项目(ZG0464);四川省科技厅重点科技项目(2006J13-035);四川省数学与成用数学专业综合改革项目(01249);四川省解析儿何精品开放课程;内江师范学院2012年校级精品资源共享课;国家自然科学基金资助项目(11071178);内江师范学院应用数学重点学科;内江师范学院卓越教师培养计划项目;四川省数学与应用数学专业卓越教师培养计划项目

摘　　要：讨论了区间值直觉模糊集合上的剩余型伴随对的性质,获得了几个重要的结果。提出了IFMP和IFMT问题的区间值直觉模糊推理的三I原则、α-三I原则、三I约束原则、反向三I原则、反向α-三I原则和反向三I约束原则。针对区间值直觉模糊集合上的剩余型伴随对,给出了IFMP、IFMT问题的区间值直觉模糊推理的三I算法、α-三I算法、三I约束算法、反向三I算法、反向α-三I算法及反向三I约束算法解的计算公式,讨论了IFMP、IFMT问题的区间值直觉模糊推理的三I算法和反向三I算法的还原性。The properties of the residual adjoint pairs on the interval valued intuitionistic fuzzy sets are discussed,and some important results are obtained.The triple I principles,α-triple I principles,triple constraint principles,reverse triple I principles,reverseα-triple I principles and reverse triple I restriction principles of interval-valued intuitionistic fuzzy reasoning for IFMP and IFMT problems are proposed.Aiming at the residual adjoint pairs on the interval valued intuitionistic fuzzy sets,the formulas of solutions of interval-valued intuitionistic fuzzy reasoning triple I methods,α-triple I method,triple I constraint methods,reverse triple I methods,reverseα-triple I methods and reverse triple I restriction methods based on IFMP and IFMT problems are given.Moreover,the reductive properties of interval-valued intuitionistic fuzzy reasoning triple I methods and reverse triple I methods for IFMP and IFMT problems are discussed.

关 键 词：区间值直觉模糊推理 剩余型伴随对 三I算法 α-三I算法 三I约束算法 反向三I算法 反向α-三I算法 反向三I约束算法 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]