CAJ | 학술논문

针对决策信息为区间直觉模糊数且属性权重完全未知的多属性群决策问题,提出了一种基于信息熵的决策方法.为保证决策的完善性,首先从区间直觉模糊数的几何意义出发,提出了一种相对合理的比较方法,同时定义了一种区间直觉模糊矩阵的规范化方法,并详细论证了方法的相关性质.该方法不仅能够保证区间直觉模糊数的形式,而且最大程度的降低了信息损失.接着,提出一种基于区间直觉模糊值熵最大化的权重确定方法,最后,将该方法应用在ERP选优的群决策问题中,用一个实例验证了方法的有效性.
침대결책신식위구간직각모호수차속성권중완전미지적다속성군결책문제,제출료일충기우신식적적결책방법.위보증결책적완선성,수선종구간직각모호수적궤하의의출발,제출료일충상대합리적비교방법,동시정의료일충구간직각모호구진적규범화방법,병상세론증료방법적상관성질.해방법불부능구보증구간직각모호수적형식,이차최대정도적강저료신식손실.접착,제출일충기우구간직각모호치적최대화적권중학정방법,최후,장해방법응용재ERP선우적군결책문제중,용일개실례험증료방법적유효성.
This article proposed an approach to multi-attribute group decision making based on information entropy with unknown attribute weight information where individual assessments are provided as interval-valued intuitionistic fuzzy numbers.To ensure the complement of decision,first of all,a reasonable method is developed for comparing two values by introducing the geometric meaning of interval-valued intuitionistic fuzzy numbers.Then,a normalization method of interval-valued intuitionistic fuzzy matrix is defined,and some of its desirable properties are investigated in detail.Through this method,not only maintain the form of interval-valued intuitionistic fuzzy numbers,but also can diminish loss of information at large scale.Next,a method based on maximizing entropy values of interval-valued intuitionistic fuzzy numbers to ensure unknown attribute weights is developed.Finally,apply this method in ERP choosing group decision-making problem,a practical example is provided to verify the effectiveness of the developed approach.