系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2015年
6期
1520~1527
,共null页
梯形模糊数 最小一乘 回归分析 回归系数
梯形模糊數 最小一乘 迴歸分析 迴歸繫數
제형모호수 최소일승 회귀분석 회귀계수
trapezoidal fuzzy number;least absolute method;regression analysis;regression coefficient
本文给出一种梯形模糊数的距离,并基于这种距离,建立了关于梯形模糊数的模糊最小一乘回归模型.针对输入、输出和回归系数分别为实数和梯形模糊数的三种情形,进行了详细的研究与分析.最后,通过3个实例验证了所提模型的有效性.数据模拟结果表明我们的方法具有较好的拟合效果.
本文給齣一種梯形模糊數的距離,併基于這種距離,建立瞭關于梯形模糊數的模糊最小一乘迴歸模型.針對輸入、輸齣和迴歸繫數分彆為實數和梯形模糊數的三種情形,進行瞭詳細的研究與分析.最後,通過3箇實例驗證瞭所提模型的有效性.數據模擬結果錶明我們的方法具有較好的擬閤效果.
본문급출일충제형모호수적거리,병기우저충거리,건립료관우제형모호수적모호최소일승회귀모형.침대수입、수출화회귀계수분별위실수화제형모호수적삼충정형,진행료상세적연구여분석.최후,통과3개실례험증료소제모형적유효성.수거모의결과표명아문적방법구유교호적의합효과.
In this paper,a new kind of distance between two trapezoidal fuzzy numbers is introduced,and fuzzy least absolute regression model with trapezoidal fuzzy numbers is proposed based on this distance.Aimed at that inputs,outputs,and regression coefficients are real numbers and trapezoidal fuzzy numbers,respectively,fuzzy least absolute regression model is investigated in detail.Finally,three numerical examples are used to illustrate our model reasonable.The experimental simulation results show that our proposed model has good fitting effect.
