系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2013年
2期
473~481
,共null页
戚筱雯 梁昌勇 黄永青 丁勇
慼篠雯 樑昌勇 黃永青 丁勇
척소문 량창용 황영청 정용
群决策 混合决策矩阵 语言评价 直觉模糊数 区间直觉模糊数 熵
群決策 混閤決策矩陣 語言評價 直覺模糊數 區間直覺模糊數 熵
군결책 혼합결책구진 어언평개 직각모호수 구간직각모호수 적
group decision-making; hybrid decision matrix; linguistic evaluation; intuitionistic fuzzy value;interval-valued intuitionistic fuzzy value; entropy
本文针对具有语言型、直觉模糊数和区间直觉模糊数三种评价信息的混合型多属性群决策问题,提出一种基于属性权重和专家权重均未知的决策方法.首先,定义新的转换函数,可将不同粒度的语言评价信息统一成区间直觉模糊数;然后,基于支持度确定未知属性权重,并在综合考虑区间直觉模糊数熵值和相似度的基础上,建立了一种新的专家权重确定模型;在将混合型决策矩阵转换成区间直觉模糊决策矩阵后,利用IIFWA算子依次集结个体决策矩阵,从而得出方案集的排序.最后,应用在ERP选优问题中,验证了方法的有效性.
本文針對具有語言型、直覺模糊數和區間直覺模糊數三種評價信息的混閤型多屬性群決策問題,提齣一種基于屬性權重和專傢權重均未知的決策方法.首先,定義新的轉換函數,可將不同粒度的語言評價信息統一成區間直覺模糊數;然後,基于支持度確定未知屬性權重,併在綜閤攷慮區間直覺模糊數熵值和相似度的基礎上,建立瞭一種新的專傢權重確定模型;在將混閤型決策矩陣轉換成區間直覺模糊決策矩陣後,利用IIFWA算子依次集結箇體決策矩陣,從而得齣方案集的排序.最後,應用在ERP選優問題中,驗證瞭方法的有效性.
본문침대구유어언형、직각모호수화구간직각모호수삼충평개신식적혼합형다속성군결책문제,제출일충기우속성권중화전가권중균미지적결책방법.수선,정의신적전환함수,가장불동립도적어언평개신식통일성구간직각모호수;연후,기우지지도학정미지속성권중,병재종합고필구간직각모호수적치화상사도적기출상,건립료일충신적전가권중학정모형;재장혼합형결책구진전환성구간직각모호결책구진후,이용IIFWA산자의차집결개체결책구진,종이득출방안집적배서.최후,응용재ERP선우문제중,험증료방법적유효성.
In this paper, we investigate a multi-attribute group decision making method with unknown attributes' weights and experts' weights in which the information provided by each decision maker in ex- pressed as the hybrid decision matrix where each of the elements is expressed by intuitionistic fuzzy number, interval-valued intuitionistic fuzzy number and linguistic labels. First, define a transformation function which can change multi-granularity linguistic variables to interval-valued intuitionistic fuzzy numbers. Then, ensure the unknown attributes' weights based on the support degrees, and next establish a model to ensure the weights of decision makers which considering the entropy and similarity of interval-valued intuitionistic fuzzy numbers. After transform hybrid decision matrices to interval-valued intuitionistic fuzzy matrices, we can aggregate these individual decision matrices by using IIFWA operation for ranking alternatives. Finally, an illustrative example for supplier selection is given to prove this method.