本文選題：非均衡語(yǔ)言集合 + 逼近理想解排序法�。� 參考：《控制與決策》2017年04期

【摘要】：大多用語(yǔ)言描述偏好的決策問(wèn)題假設(shè)語(yǔ)言是均勻、對(duì)稱(chēng)分布的,然而有些問(wèn)題需要采用非均衡語(yǔ)言.針對(duì)這一問(wèn)題,提出一種基于符號(hào)化方法的語(yǔ)言計(jì)算模型.首先,構(gòu)造一種基于基礎(chǔ)語(yǔ)言集合的加權(quán)圖,用圖形中的點(diǎn)描述非均衡語(yǔ)言;然后,定義圖形中任意兩點(diǎn)間的曼哈頓距離公式,用于計(jì)算非均衡語(yǔ)言的距離;最后,將其用于逼近于理想值的排序方法(TOPSIS),并給出算例.所提出的方法不僅圖像化非均衡語(yǔ)言,而且在解決TOPSIS問(wèn)題時(shí)比歐氏距離測(cè)度更具優(yōu)越性.
[Abstract]:Most decision problems that describe preference by language assume that the language is uniformly and symmetrically distributed. However, some problems require the use of disequilibrium language. To solve this problem, a language computing model based on symbolic method is proposed. First, a weighted graph based on the basic language set is constructed to describe the disequilibrium language with the points in the graph. Then, the Manhattan distance formula between any two points in the graph is defined to calculate the distance between the disequilibrium languages. The method is used to sort the ideal value, and an example is given. The proposed method is not only graphical disequilibrium language, but also superior to Euclidean distance measure in solving TOPSIS problem.
【作者單位】： 南京信息工程大學(xué)經(jīng)濟(jì)管理學(xué)院;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(71401078,71503134) 江蘇高校哲學(xué)社會(huì)科學(xué)研究基金項(xiàng)目(2014SJB059) 江蘇省社會(huì)科學(xué)基金項(xiàng)目(14EYD006)
【分類(lèi)號(hào)】：C934

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本文編號(hào)：2009047