工程数学学报
工程數學學報
공정수학학보
Chinese Journal of Engineering Mathematics
2015年
5期
650-658
,共9页
蔡久顺%张执国%师鹏%何泉
蔡久順%張執國%師鵬%何泉
채구순%장집국%사붕%하천
风险排序%直觉三角模糊数%多属性群决策%熵权%逼近理想解法
風險排序%直覺三角模糊數%多屬性群決策%熵權%逼近理想解法
풍험배서%직각삼각모호수%다속성군결책%적권%핍근이상해법
risk ranking%intuitionistic triangular fuzzy number%multi-attribute group decision-making%entropy weight%TOPSIS
为了解决信息收集时的模糊性和不确定性问题,避免单人决策的失误,并全面描述风险的不同特征,本文将直觉三角模糊数和多属性群决策理论结合起来,提出了一种基于直觉模糊多属性群决策的风险排序方法,提高了风险排序的准确度。首先,运用直觉三角模糊数收集专家的判断信息;其次,通过分别计算三角模糊数和直觉模糊数的熵权得到组合权重,从而确定不同方案的风险综合值;再次,利用逼近理想解法对不同方案的风险综合值进行排序;最后,给出实例验证了该方法的有效性和可行性。
為瞭解決信息收集時的模糊性和不確定性問題,避免單人決策的失誤,併全麵描述風險的不同特徵,本文將直覺三角模糊數和多屬性群決策理論結閤起來,提齣瞭一種基于直覺模糊多屬性群決策的風險排序方法,提高瞭風險排序的準確度。首先,運用直覺三角模糊數收集專傢的判斷信息;其次,通過分彆計算三角模糊數和直覺模糊數的熵權得到組閤權重,從而確定不同方案的風險綜閤值;再次,利用逼近理想解法對不同方案的風險綜閤值進行排序;最後,給齣實例驗證瞭該方法的有效性和可行性。
위료해결신식수집시적모호성화불학정성문제,피면단인결책적실오,병전면묘술풍험적불동특정,본문장직각삼각모호수화다속성군결책이론결합기래,제출료일충기우직각모호다속성군결책적풍험배서방법,제고료풍험배서적준학도。수선,운용직각삼각모호수수집전가적판단신식;기차,통과분별계산삼각모호수화직각모호수적적권득도조합권중,종이학정불동방안적풍험종합치;재차,이용핍근이상해법대불동방안적풍험종합치진행배서;최후,급출실례험증료해방법적유효성화가행성。
In order to solve the fuzzy and uncertainty problem of information collection, avoid the mistakes of single-person decision, and describe different characteristics of risk, we combine the intuitionistic triangular fuzzy number and the theory of multi-attribute group decision-making, and propose a new ranking method based on intuitionistic fuzzy multi-attribute group decision-making and improve the accuracy of risk ranking. Firstly, we apply the intuitionistic triangular fuzzy number to collect expert judgment information. Secondly, we calculate the en-tropy weights of triangular fuzzy number and intuitionistic fuzzy number to get the combined weights, and obtain the comprehensive value of different risk schemes. Then, we rank compre-hensive value of different risk schemes by TOPSIS method. Finally, the numerical example is given to verify the feasibility and effectiveness of the method.