preference n. 1.優(yōu)先選擇;偏愛(ài)。 2.優(yōu)先選擇物,偏愛(ài)物。 3.【法律】?jī)?yōu)先權(quán);特惠〔特指關(guān)稅〕;(債權(quán)人)受優(yōu)先償還的權(quán)利;選擇機(jī)會(huì)。 4.一種牌戲。 This is my preference. 我喜歡這個(gè)。 by [for] preference 喜歡,選擇。 have a preference for [to] 喜歡…,認(rèn)為…更好。 in preference to ... 比…先,比起…來(lái)寧愿。 preference of sth. to [over] another 寧要某物而不要另一物。
relation n. 1.說(shuō)話,敘述,報(bào)告;故事。 2.關(guān)系,聯(lián)系;〔pl.〕(利害)關(guān)系,交情;〔pl.〕國(guó)際關(guān)系。 3.親戚關(guān)系;親戚。 4.【法律】告發(fā);追溯效力。 5.比率,比數(shù)。 6.〔pl.〕男女關(guān)系;性關(guān)系。 diplomatic relation 外交關(guān)系。 the relations of production 生產(chǎn)關(guān)系。 social relations 社會(huì)關(guān)系。 the relation between cause and effect 因果關(guān)系。 the relation of father and son 父子關(guān)系。 Is he any relation to you 他是你的親戚嗎? bear no relation to =be out of all relation to 和…無(wú)關(guān),和…完全不稱。 The outlay seems to bear no relation to the object aimed at. 這費(fèi)用似乎和預(yù)期目的完全不相稱。 have relations with 和…有(某種)關(guān)系。 have relation to 有關(guān);和…有關(guān)系(The report has relation to a state of things now past. 這個(gè)報(bào)告是關(guān)于現(xiàn)在已經(jīng)過(guò)去的事件的)。 in [with] relation to 關(guān)于…,就…而論。 make relation to 提及…,讀到…。 relation by marriage 姻親,裙帶關(guān)系。
with relation to 關(guān)系到; 關(guān)于, 涉及, 有關(guān); 關(guān)于,涉及,有關(guān);與...相比; 津津有味地, 有興趣地
Information aggregation based on fuzzy preference relations 模糊性偏序關(guān)系上的信息融合
Duality of preference relations 偏好關(guān)系的對(duì)偶性
Interval multiple attribute decision making method with preference relation on alternatives 帶有方案偏好關(guān)系的區(qū)間型多屬性決策方法
Thirdly , based on our definition of fuzzy preference structure without incomparability , we find out relationships between transitivity properties of large preference relation and strict preference and indifference relation with ^ - transformation of lukasiewicz t - norm . for example , we point out that the w - transitivity of large preference relation can derive the same transitivity of strict preference and indifference relation 在作者所給出的模糊偏好結(jié)構(gòu)定義的基礎(chǔ)上,在無(wú)不可比關(guān)系的條件下以及l(fā)ukasiewicz ,模的尹變換嘰的意義下,討論了大偏好、嚴(yán)格偏好及無(wú)區(qū)別關(guān)系之間的傳遞性性質(zhì)的聯(lián)系,例如我們指出了大偏好關(guān)系的嘰傳遞性可導(dǎo)出嚴(yán)格偏好以及無(wú)區(qū)別關(guān)系的嘰傳遞性等。
We investigate the decision - making problem with a finite set of alternatives , in which the decision information takes the form of a fuzzy preference relation . we develop a simple and practical approach to obtaining the priority vector of a fuzzy preference relation . the prominent characteristic of the developed approach is that the priority vector can generally be obtained by a simple formula , which is derived from a quadratic programming model . we utilize the consistency ratio to check the consistency of fuzzy preference relation . if the fuzzy preference relation is of unacceptable consistency , then we can return it to the decision maker to reconsider structuring a new fuzzy preference relation until the fuzzy preference relation with acceptable consistency is obtained . we finally illustrate the priority approach by two numerical examples . the numerical results show that the developed approach is straightforward , effective , and can easily be performed on a computer 研究了決策信息以模糊偏好關(guān)系給出的有限方案決策問(wèn)題,提出了一種簡(jiǎn)潔且實(shí)用的模糊偏好關(guān)系排序方法.該方法首先建立一個(gè)二次規(guī)劃模型,然后基于該模型推導(dǎo)出求解模糊偏好關(guān)系排序向量的一個(gè)簡(jiǎn)潔公式.基于獲得的排序向量,利用一致性比例對(duì)模糊偏好關(guān)系進(jìn)行一致性檢驗(yàn).對(duì)于一致性較差的模糊偏好關(guān)系,則需反饋給決策者重新進(jìn)行判斷,直至得到一個(gè)一致性可接受的模糊偏好關(guān)系為止.最后,利用2個(gè)算例對(duì)該方法進(jìn)行分析和說(shuō)明,數(shù)值結(jié)果表明該方法簡(jiǎn)潔、有效,且易于在計(jì)算機(jī)上操作
In this research , using the theory of t - norm , t - conorm and fuzzy relations , we systematically discuss transitivity - related properties of operations of fuzzy relations , relationships between t - transitivity , negative s - transitivity , t - s - semitransitivity and t - s - ferrers properties , relationships of transitivity - related properties between the large preference relation and strict preference , indifference relations , and transitivity of the limit of a sequence of fuzzy relations with certain properties 本文利用模糊關(guān)系理論和t模及t余模理論,對(duì)模糊關(guān)系運(yùn)算的傳遞性, t傳遞、 s負(fù)傳遞、 t - s半傳遞及t - sferrers關(guān)系之間的聯(lián)系,特殊模糊偏好結(jié)構(gòu)中所涉及到的傳遞性以及模糊關(guān)系序列極限的傳遞性進(jìn)行了系統(tǒng)全面地討論。