南京大学学报(自然科学版)
南京大學學報(自然科學版)
남경대학학보(자연과학판)
JOURNAL OF NANJING UNIVERSITY(NATURAL SCIENCES)
2015年
1期
99-104
,共6页
薛占熬%刘杰%程慧茹%王朋函
薛佔熬%劉傑%程慧茹%王朋函
설점오%류걸%정혜여%왕붕함
直觉模糊集%三I方法%直觉模糊三I蕴涵%蕴涵算子
直覺模糊集%三I方法%直覺模糊三I蘊涵%蘊涵算子
직각모호집%삼I방법%직각모호삼I온함%온함산자
intuitionistic fuzzy sets%triple I method%intuitionistic fuzzy triple I implication%implication operator
全蕴涵三I算法是一种重要的模糊推理算法,其蕴涵采用的是R0蕴涵算子。在直觉模糊集理论基础上,结合三I方法和 Lukasiewicz蕴涵算子的概念,构造出一种新的直觉模糊三I蕴涵算子RIL ,并运用RIL对直觉模糊取式(IFMP)问题进行求解,得到了基于RIL的IFMP问题求解的算法,同时还证明了直觉模糊蕴涵三I IFMP算法的还原性。
全蘊涵三I算法是一種重要的模糊推理算法,其蘊涵採用的是R0蘊涵算子。在直覺模糊集理論基礎上,結閤三I方法和 Lukasiewicz蘊涵算子的概唸,構造齣一種新的直覺模糊三I蘊涵算子RIL ,併運用RIL對直覺模糊取式(IFMP)問題進行求解,得到瞭基于RIL的IFMP問題求解的算法,同時還證明瞭直覺模糊蘊涵三I IFMP算法的還原性。
전온함삼I산법시일충중요적모호추리산법,기온함채용적시R0온함산자。재직각모호집이론기출상,결합삼I방법화 Lukasiewicz온함산자적개념,구조출일충신적직각모호삼I온함산자RIL ,병운용RIL대직각모호취식(IFMP)문제진행구해,득도료기우RIL적IFMP문제구해적산법,동시환증명료직각모호온함삼I IFMP산법적환원성。
Zadeh’s CRI method is wildly applied in fuzzy reasoning,but it has been criticised to be too complex and it has no reducibility.To alleviate CRI method’s drawback,the method of triple I was proposed by Wang,which is widely recognized as one of the important fuzzy reasoning methods,and many existing fuzzy inference methods are based on it.In recent years,the triple I method is successfully used in various research fields.The implication operator of R0 is adopted in the triple I method,while some researchers proposed the triple I methods based on other implication operators,such as RL ,RG and RGR .All those implication operators were applied in the fuzzy sets successfully.However,triple I implication operators based on intuitionistic fuzzy sets have been seldom studied.In this paper,an implication operator based on intuitionistic fuzzy sets was constructed and its properties were studied in detail.Firstly,we reviewed the concepts and related properties of the triple I method and intuitionistic fuzzy sets. At the same time,the definition of the intuitionistic fuzzy triple implication was explained again.Secondly,in the view of implication operator R0 in the intuitionistic fuzzy triple implication,combining the implication operator RL ,a new triple I implication operator RIL in intuitionistic fuzzy sets were presented in this paper.Namely,on the intuitionist fuzzy triple implication,the operator R0 was replaced by the new implication operator RIL .The membership and non-membership functions of RIL in intuitionistic fuzzy sets were defined,respectively.Based on the solution method of the intuitionistic fuzzy triple implication,the algorithm by using implication operator RIL to solve intuitionistic fuzzy modus ponens problem was performed,then a concrete proof process was provided in detail, which can verify its accuracy.Meanwhile,the reversibility of this algorithm was proved.Thirdly,this paper has a try in proposing a new reasoning of full implication based on intuitive fuzzy logic,and developing the theory of fuzzy rea-soning and fuzzy control.It also has scientific significance and application value.