preference n. 1.优先选择;偏爱。 2.优先选择物,偏爱物。 3.【法律】优先权;特惠〔特指关税〕;(债权人)受优先偿还的权利;选择机会。 4.一种牌戏。 This is my preference. 我喜欢这个。 by [for] preference 喜欢,选择。 have a preference for [to] 喜欢…,认为…更好。 in preference to ... 比…先,比起…来宁愿。 preference of sth. to [over] another 宁要某物而不要另一物。
relation n. 1.说话,叙述,报告;故事。 2.关系,联系;〔pl.〕(利害)关系,交情;〔pl.〕国际关系。 3.亲戚关系;亲戚。 4.【法律】告发;追溯效力。 5.比率,比数。 6.〔pl.〕男女关系;性关系。 diplomatic relation 外交关系。 the relations of production 生产关系。 social relations 社会关系。 the relation between cause and effect 因果关系。 the relation of father and son 父子关系。 Is he any relation to you 他是你的亲戚吗? bear no relation to =be out of all relation to 和…无关,和…完全不称。 The outlay seems to bear no relation to the object aimed at. 这费用似乎和预期目的完全不相称。 have relations with 和…有(某种)关系。 have relation to 有关;和…有关系(The report has relation to a state of things now past. 这个报告是关于现在已经过去的事件的)。 in [with] relation to 关于…,就…而论。 make relation to 提及…,读到…。 relation by marriage 姻亲,裙带关系。
Information aggregation based on fuzzy preference relations 模糊性偏序关系上的信息融合
Duality of preference relations 偏好关系的对偶性
Interval multiple attribute decision making method with preference relation on alternatives 带有方案偏好关系的区间型多属性决策方法
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 在作者所给出的模糊偏好结构定义的基础上,在无不可比关系的条件下以及lukasiewicz ,模的尹变换叽的意义下,讨论了大偏好、严格偏好及无区别关系之间的传递性性质的联系,例如我们指出了大偏好关系的叽传递性可导出严格偏好以及无区别关系的叽传递性等。
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 研究了决策信息以模糊偏好关系给出的有限方案决策问题,提出了一种简洁且实用的模糊偏好关系排序方法.该方法首先建立一个二次规划模型,然后基于该模型推导出求解模糊偏好关系排序向量的一个简洁公式.基于获得的排序向量,利用一致性比例对模糊偏好关系进行一致性检验.对于一致性较差的模糊偏好关系,则需反馈给决策者重新进行判断,直至得到一个一致性可接受的模糊偏好关系为止.最后,利用2个算例对该方法进行分析和说明,数值结果表明该方法简洁、有效,且易于在计算机上操作
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 本文利用模糊关系理论和t模及t余模理论,对模糊关系运算的传递性, t传递、 s负传递、 t - s半传递及t - sferrers关系之间的联系,特殊模糊偏好结构中所涉及到的传递性以及模糊关系序列极限的传递性进行了系统全面地讨论。