计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
4期
41-45
,共5页
金飞飞%裴利丹%陈华友%周礼刚
金飛飛%裴利丹%陳華友%週禮剛
금비비%배리단%진화우%주례강
区间犹豫模糊集%相似度%交叉熵%多属性群决策
區間猶豫模糊集%相似度%交扠熵%多屬性群決策
구간유예모호집%상사도%교차적%다속성군결책
interval-valued%similarity%cross-entropy%multi-attribute group decision making
构建了区间犹豫模糊三角相似度公式，并且研究了区间犹豫模糊环境下属性权重信息完全未知的多属性群决策方法。首先基于正弦三角函数构造了区间犹豫模糊三角相似度公式，并证明其满足区间犹豫模糊相似度公理化定义的四个条件；接着给出了区间犹豫模糊交叉熵的公理性定义，同时研究了区间犹豫模糊相似度和区间犹豫模糊交叉熵的关系；最后基于区间犹豫模糊三角相似度，提出了在属性权重信息完全未知条件下的区间犹豫模糊多属性群决策方法，并用实例验证该方法的可行性和有效性。
構建瞭區間猶豫模糊三角相似度公式，併且研究瞭區間猶豫模糊環境下屬性權重信息完全未知的多屬性群決策方法。首先基于正絃三角函數構造瞭區間猶豫模糊三角相似度公式，併證明其滿足區間猶豫模糊相似度公理化定義的四箇條件；接著給齣瞭區間猶豫模糊交扠熵的公理性定義，同時研究瞭區間猶豫模糊相似度和區間猶豫模糊交扠熵的關繫；最後基于區間猶豫模糊三角相似度，提齣瞭在屬性權重信息完全未知條件下的區間猶豫模糊多屬性群決策方法，併用實例驗證該方法的可行性和有效性。
구건료구간유예모호삼각상사도공식，병차연구료구간유예모호배경하속성권중신식완전미지적다속성군결책방법。수선기우정현삼각함수구조료구간유예모호삼각상사도공식，병증명기만족구간유예모호상사도공이화정의적사개조건；접착급출료구간유예모호교차적적공이성정의，동시연구료구간유예모호상사도화구간유예모호교차적적관계；최후기우구간유예모호삼각상사도，제출료재속성권중신식완전미지조건하적구간유예모호다속성군결책방법，병용실례험증해방법적가행성화유효성。
Interval-valued hesitant fuzzy triangle similarity is constructed, and investigate the multi-attribute group decision making method with attribute weight information is completely unknown under the interval-valued hesitant fuzzy environ-ment. Based on the sine triangle function, the interval-valued hesitant fuzzy triangle similarity formula is developed, and it proves that the interval-valued hesitant fuzzy triangle similarity satisfies four axiomatic requirements of interval-valued hesitant fuzzy similarity. The axiomatic definition of cross-entropy for interval-valued hesitant fuzzy sets is presented, and the relationships between interval-valued hesitant fuzzy similarity measures and interval-valued hesitant fuzzy cross-entropy is studied. According to the interval-valued hesitant fuzzy triangle similarity, a new method for interval-valued hesitant fuzzy multi-attribute group decision making problems with completely unknown attribute weight information is proposed, and an illustrative example is given to demonstrate its practicality and effectiveness.
