基于后悔理論與群體滿意度的猶豫模糊隨機(jī)多屬性決策方法
發(fā)布時(shí)間:2018-08-08 11:48
【摘要】:針對(duì)屬性權(quán)重完全未知,屬性值為猶豫模糊元的隨機(jī)多屬性決策問題,提出一種基于后悔理論與群體滿意度的隨機(jī)決策方法。首先,為避免人為給定參考點(diǎn)帶來的主觀隨機(jī)性,基于屬性值的方差與得分函數(shù)定義一種群體滿意度,并根據(jù)群體滿意度建立屬性權(quán)重優(yōu)化模型。其次,基于后悔理論構(gòu)建方案兩兩相比的后悔值矩陣與欣喜值矩陣,并根據(jù)決策群體總體心理感知值對(duì)方案進(jìn)行排序。最后,給出算例驗(yàn)證方法可行性與有效性。
[Abstract]:A stochastic multi-attribute decision making method based on regret theory and group satisfaction is proposed for the stochastic multi-attribute decision making problem in which the attribute weight is completely unknown and the attribute value is a hesitant fuzzy element. Firstly, in order to avoid the subjective randomness brought by a given reference point, a group satisfaction degree is defined based on the variance and score function of attribute value, and an attribute weight optimization model is established according to group satisfaction. Secondly, based on regret theory, the regret value matrix and the delight value matrix are constructed, and the scheme is sorted according to the overall psychological perception of the decision group. Finally, an example is given to verify the feasibility and effectiveness of the method.
【作者單位】: 安徽工業(yè)大學(xué)數(shù)理科學(xué)與工程學(xué)院;南京航空航天大學(xué)經(jīng)濟(jì)與管理學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(71601002,71673001,71571100,71303004,71171112) 國(guó)家社會(huì)科學(xué)基金重點(diǎn)項(xiàng)目(14AZD049) 教育部人文社科研究青年基金項(xiàng)目(16YJC630077) 安徽省自然科學(xué)基金(1708085MG168) 安徽省哲學(xué)社會(huì)科學(xué)規(guī)劃基金(AHSKY2015D79)
【分類號(hào)】:C934
本文編號(hào):2171700
[Abstract]:A stochastic multi-attribute decision making method based on regret theory and group satisfaction is proposed for the stochastic multi-attribute decision making problem in which the attribute weight is completely unknown and the attribute value is a hesitant fuzzy element. Firstly, in order to avoid the subjective randomness brought by a given reference point, a group satisfaction degree is defined based on the variance and score function of attribute value, and an attribute weight optimization model is established according to group satisfaction. Secondly, based on regret theory, the regret value matrix and the delight value matrix are constructed, and the scheme is sorted according to the overall psychological perception of the decision group. Finally, an example is given to verify the feasibility and effectiveness of the method.
【作者單位】: 安徽工業(yè)大學(xué)數(shù)理科學(xué)與工程學(xué)院;南京航空航天大學(xué)經(jīng)濟(jì)與管理學(xué)院;
【基金】:國(guó)家自然科學(xué)基金資助項(xiàng)目(71601002,71673001,71571100,71303004,71171112) 國(guó)家社會(huì)科學(xué)基金重點(diǎn)項(xiàng)目(14AZD049) 教育部人文社科研究青年基金項(xiàng)目(16YJC630077) 安徽省自然科學(xué)基金(1708085MG168) 安徽省哲學(xué)社會(huì)科學(xué)規(guī)劃基金(AHSKY2015D79)
【分類號(hào)】:C934
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