CAJ | 학술논문

把有序加权几何平均(OWGA)算子推广到所给定的数据信息均为区间数形式的不确定环境之中.首先给出了区间数两两比较的可能度的一个公式,证明了该公式与现有的公式是等价的,并给出了该公式的一些优良性质.其次,研究了不确定有序加权几何平均算子,这里算子的权重参数不能够确定,但是值的范围是给定的,并且不确定OWGA算子的集结值是已知的.建立了一个线性目标规划模型,求解该模型,不仅可以得到不确定OWGA算子的权重向量而且可得到方案的估计值,然后用可能度公式通过对估计集结值的比较来对方案进行排序.最后通过实例说明了该方法的有效性和可行性.
파유서가권궤하평균(OWGA)산자추엄도소급정적수거신식균위구간수형식적불학정배경지중.수선급출료구간수량량비교적가능도적일개공식,증명료해공식여현유적공식시등개적,병급출료해공식적일사우량성질.기차,연구료불학정유서가권궤하평균산자,저리산자적권중삼수불능구학정,단시치적범위시급정적,병차불학정OWGA산자적집결치시이지적.건립료일개선성목표규화모형,구해해모형,불부가이득도불학정OWGA산자적권중향량이차가득도방안적고계치,연후용가능도공식통과대고계집결치적비교래대방안진행배서.최후통과실례설명료해방법적유효성화가행성.
The ordered weighted geometric averaging(OWGA)operator is extended to accommodate uncertain conditions where all input arguments take the forms of interval numbers.First,a possibility degree formula for the comparison between interval numbers is introduced.It is proved that the introduced formula is equivalent to the existing formulae,and also some desired properties of the possibility degree is presented.Secondly,the uncertain OWGA operator is investigated in which the associated weighting parameters cannot be specified,but value ranges can be obtained and the associated aggregated values of an uncertain OWGA operator are known.A linear objective-programming model is established; by solving this model,the associated weights vector of an uncertain OWGA operator can be determined,and also the estimated aggregated values of the alternatives can be obtained. Then the alternatives can be ranked by the comparison of the estimated aggregated values using the possibility degree formula.Finally,a numerical example is given to show the feasibility and effectiveness of the developed method.