CAJ | 학술논문

基于文献[7]将语言变量和直觉模糊集相结合定义直觉语言集的思路,提出了区间直觉不确定语言变量的概念,研究了区间直觉不确定语言变量相关的基本理论与方法,并针对属性值为区间直觉不确定语言信息的多属性群决策问题,提出了相应的决策方法.首先,定义了区间直觉不确定语言变量的概念、运算规则、期望值、精确函数以及区间直觉不确定语言变量大小比较方法,提出区间直觉不确定语言变量加权算术平均算子、区间直觉不确定语言变量有序加权平均算子并证明这些算子的一些性质,如单调性、幂等性、界值性和交换性等,在此基础上提出区间直觉不确定语言变量混合加权平均算子,并证明它是区间直觉不确定语言变量加权算术平均算子和有序加权平均算子的一般化表示.其次,基于这些算子提出一种属性权重已知且属性值以区间直觉不确定语言形式给出的多属性群决策方法.最后通过实例证明了该方法的有效性.
기우문헌[7]장어언변량화직각모호집상결합정의직각어언집적사로,제출료구간직각불학정어언변량적개념,연구료구간직각불학정어언변량상관적기본이론여방법,병침대속성치위구간직각불학정어언신식적다속성군결책문제,제출료상응적결책방법.수선,정의료구간직각불학정어언변량적개념、운산규칙、기망치、정학함수이급구간직각불학정어언변량대소비교방법,제출구간직각불학정어언변량가권산술평균산자、구간직각불학정어언변량유서가권평균산자병증명저사산자적일사성질,여단조성、멱등성、계치성화교환성등,재차기출상제출구간직각불학정어언변량혼합가권평균산자,병증명타시구간직각불학정어언변량가권산술평균산자화유서가권평균산자적일반화표시.기차,기우저사산자제출일충속성권중이지차속성치이구간직각불학정어언형식급출적다속성군결책방법.최후통과실예증명료해방법적유효성.
Because intuitionistic fuzzy set （IFS） considers both membership and non-membership,IFS can describe and characterize fuzzy information more exquisitely than fuzzy set,and has been widely used in the decision-making process involving fuzzy multiple attributes.IFS is also extended to interval intuitionistic fuzzy set,triangular intuitionistic fuzzy set,fuzzy number intuitionistic fuzzy set,etc.At the same time,Gnguistic variables are easier to use and express qualitative information.Wang （2009） proposes intuitionistic linguistic set on the basis of intuitionistic fuzzy set and linguistic variables.The set overcomes the defect of linguistic evaluation value,which usually implies that membership degree is 1,and non-membership degree and hesitation degree of decision makers can not be expressed.Based on the same ideas and combined with uncertain linguistic variables and interval intuitionistic fuzzy set,this paper proposes that the concept of interval-valued intuitionistic uncertain linguistic variables could be used to solve more complex decision-making problems.Firstly,the paper reviews relevant definitions,intuitionistic fuzzy set theory,interval intuitionistic fuzzy set,linguistic variables,uncertain linguistic variables,and intuitionistic linguistic set.Based on the ideas of intuitionistic linguistic set,this paper proposes the concept of interval intuitionistic uncertain linguistic variables,and studies some operational laws,expected value,accuracy function and the ranking comparison methods of interval-valued intuitionistic uncertain linguistic variables.We further develop an intervalvalued intuitionistic uncertain linguistic weighted arithmetic average operator and an interval-valued intuitionistic uncertain linguistic ordered weighted average operator.Furthermore,some desirable properties of theseoperators,such as commutativity,idempotency and monotonicity,have been studied,and the position weight determining methods are given.An interval-valued intuitionistic uncertain linguistic hybrid average operator generalizes both the interval-valued intuitionistic uncertain linguistic ordered weighted average operator and the ordered weighted average operator.Secondly,with respect to multiple attribute group decision making （MAGDM） problems attribute weight is known that attribute values take the form of interval-valued intuitionistic uncertain linguistic variables.Some new group decision making analysis methods are developed based on these operators,and specific decision-making steps are given.In addition,an example is given to illustrate the decision-making process,verify the developed approaches and demonstrate their practicality and effectiveness.Finally,the findings of this paper can help enrich the current fuzzy decision theory and methods,and provide an effective way to solve multi-attribute decision-making problems based on interval intuitionistic uncertain linguistic variables.