运筹与管理
運籌與管理
운주여관리
OPERATIONS RESEARCH AND MANAGEMENT SCIENCE
2010年
1期
56-59,79
,共5页
群体决策%折中比值法%模糊距离%军事航线优选
群體決策%摺中比值法%模糊距離%軍事航線優選
군체결책%절중비치법%모호거리%군사항선우선
group decision making%compromise ratio method%fuzzy distance%military route selection
为解决复杂条件下的模糊多属性群体决策问题,利用模糊距离的概念,提出了模糊距离折中比值法(FCRM).在FCRM中,属性权重和定性属性评估值由语言变量和三角模糊数描述,并用模糊距离度量模糊数之间的距离.FCRM的决策原则是所选择的最优解在尽可能地贴近正理想解的同时尽可能地远离负理想解,同时充分考虑多个决策者的主观态度.文中详细阐述了FCRM的决策过程,通过实例将其应用于军事航线优选问题并与其他相关方法进行了比较分析,证实了该方法的有效性.
為解決複雜條件下的模糊多屬性群體決策問題,利用模糊距離的概唸,提齣瞭模糊距離摺中比值法(FCRM).在FCRM中,屬性權重和定性屬性評估值由語言變量和三角模糊數描述,併用模糊距離度量模糊數之間的距離.FCRM的決策原則是所選擇的最優解在儘可能地貼近正理想解的同時儘可能地遠離負理想解,同時充分攷慮多箇決策者的主觀態度.文中詳細闡述瞭FCRM的決策過程,通過實例將其應用于軍事航線優選問題併與其他相關方法進行瞭比較分析,證實瞭該方法的有效性.
위해결복잡조건하적모호다속성군체결책문제,이용모호거리적개념,제출료모호거리절중비치법(FCRM).재FCRM중,속성권중화정성속성평고치유어언변량화삼각모호수묘술,병용모호거리도량모호수지간적거리.FCRM적결책원칙시소선택적최우해재진가능지첩근정이상해적동시진가능지원리부이상해,동시충분고필다개결책자적주관태도.문중상세천술료FCRM적결책과정,통과실례장기응용우군사항선우선문제병여기타상관방법진행료비교분석,증실료해방법적유효성.
A compromise ratio method (CRM) for fuzzy multi-attribute group decision making problems is developed using fuzzy distance measures. In this methodology,weights of attributes and ratings of alternatives are described by linguistic terms,which can be expressed with triangular fuzzy numbers. A fuzzy distance measure is introduced to calculate the difference between two triangular fuzzy numbers. A compromise solution is determined by introducing the ranking index based on the concept that the chosen alternative should be as close as possible to the positive ideal solution and as far away from the negative ideal solution as possible simultaneously. The procedure of the extended fuzzy compromise ratio method (FCRM) is described in detail. This extended FCRM is compared with other existing methods and illustrated with an example of the military route selection as one of the possible application.