控制与决策
控製與決策
공제여결책
CONTROL AND DECISION
2013年
5期
716-720
,共5页
直觉模糊数%群决策%精确加权方法%单调性%尺度不变性
直覺模糊數%群決策%精確加權方法%單調性%呎度不變性
직각모호수%군결책%정학가권방법%단조성%척도불변성
intuitionistic fuzzy number%group decision making%AWD method%monotonicity%scale-invariance
在直觉模糊群决策中,一般通过赋权法对不同专家或决策者进行有效区分,相关研究多偏重等值赋权与主观赋权,但两者均存在不足.基于此,提出一种仅依靠非犹豫度(专家对属性的非犹豫程度意味着对该属性信息的掌握程度)的精确加权(AWD)方法,并证明了该方法的单调性与尺度不变性.在 AWD 方法基础上,提出FOAWA 和 IFOAWG 算子,证明了新算子的幂等性、有界性与交换性.最后,通过算例展示了所提出方法的可行性和有效性.
在直覺模糊群決策中,一般通過賦權法對不同專傢或決策者進行有效區分,相關研究多偏重等值賦權與主觀賦權,但兩者均存在不足.基于此,提齣一種僅依靠非猶豫度(專傢對屬性的非猶豫程度意味著對該屬性信息的掌握程度)的精確加權(AWD)方法,併證明瞭該方法的單調性與呎度不變性.在 AWD 方法基礎上,提齣FOAWA 和 IFOAWG 算子,證明瞭新算子的冪等性、有界性與交換性.最後,通過算例展示瞭所提齣方法的可行性和有效性.
재직각모호군결책중,일반통과부권법대불동전가혹결책자진행유효구분,상관연구다편중등치부권여주관부권,단량자균존재불족.기우차,제출일충부의고비유예도(전가대속성적비유예정도의미착대해속성신식적장악정도)적정학가권(AWD)방법,병증명료해방법적단조성여척도불변성.재 AWD 방법기출상,제출FOAWA 화 IFOAWG 산자,증명료신산자적멱등성、유계성여교환성.최후,통과산례전시료소제출방법적가행성화유효성.
The weight-determined method is a good technique to distinguish different experts in intuitionistic fuzzy group decision making, such as the equal-weight method and the subjective weight-determined method. However, there are some puzzles in these two weight-determined methods. Therefore, an accurate weight-determined(AWD) method based on the membership and non-membership is proposed. The main idea of the AWD method is that putting larger weight into the expert with more attribute information. Then the monotonicity and the scale-invariance of the AWD method are investigated. Based on the AWD method, two intuitionistic fuzzy ordered accurate weighted aggregation operators are developed, and their properties are investigated in detail. Finally, a practical example is provided to illustrate the feasibility and effectiveness of the proposed method.
