合肥工业大学学报(自然科学版)
閤肥工業大學學報(自然科學版)
합비공업대학학보(자연과학판)
JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE)
2013年
9期
1136-1139
,共4页
正态分布区间数%包含度%可能度%集结%决策
正態分佈區間數%包含度%可能度%集結%決策
정태분포구간수%포함도%가능도%집결%결책
normal distribution interval number%inclusion degree%possibility degree%aggregating%de-cision making
文章针对正态分布区间数的多属性决策问题,提出了一种基于包含度和可能度的决策方法。介绍了正态分布区间数的基本概念和运算法则,定义了它的包含度和可能度,并证明了其相关性质;提取正理想对象并结合包含度给出了属性权重的计算公式,同时提出了正态分布区间数的集结方法;利用可能度构造可能度矩阵,利用排序向量法得到最优决策,并通过实例分析验证了该决策方法的可行性和有效性。
文章針對正態分佈區間數的多屬性決策問題,提齣瞭一種基于包含度和可能度的決策方法。介紹瞭正態分佈區間數的基本概唸和運算法則,定義瞭它的包含度和可能度,併證明瞭其相關性質;提取正理想對象併結閤包含度給齣瞭屬性權重的計算公式,同時提齣瞭正態分佈區間數的集結方法;利用可能度構造可能度矩陣,利用排序嚮量法得到最優決策,併通過實例分析驗證瞭該決策方法的可行性和有效性。
문장침대정태분포구간수적다속성결책문제,제출료일충기우포함도화가능도적결책방법。개소료정태분포구간수적기본개념화운산법칙,정의료타적포함도화가능도,병증명료기상관성질;제취정이상대상병결합포함도급출료속성권중적계산공식,동시제출료정태분포구간수적집결방법;이용가능도구조가능도구진,이용배서향량법득도최우결책,병통과실례분석험증료해결책방법적가행성화유효성。
A multi-attribute decision making method based on inclusion degree and possibility degree is presented for normal distribution interval number .Firstly ,some basic concepts and operations of nor-mal distribution interval number are introduced ,and its inclusion degree and possibility degree are de-fined and relevant properties are also proved .Secondly ,the calculation formula of attribute weights is given by extracting the positive ideal object with inclusion degree ,and an aggregating method for nor-mal distribution interval number is proposed .Finally ,the possibility degree matrix is constructed by using possibility degree ,and the optimal decision is obtained by ranking vector method ,and a practi-cal example is analyzed to verify the feasibility and effectiveness of the proposed method .