A new linguistic aggregation operator and its application to multiple attribute decision making
A new linguistic aggregation operator and its application to multiple attribute decision making
复制标题
一种新的语言聚合算子及其在多属性决策中的应用
DOI：
10.1016/j.orp.2015.09.001
复制
发表时间：
2015-12-01
影响因子：
2.5
通讯作者：
Wang, Zhongxing
中科院分区：
文献类型：
--
作者：
Lan, Jibin;Chen, Yuwen;Wang, Zhongxing
本文在语言环境中建立了一种新的语言聚集算子，并研究了它的单调性、聚焦效应、幂等性、交换性和有界性。在此基础上，提出了一种新的n维语言标度上的约束序关系，该关系满足严格Pareto支配，并受权向量的约束。基于该算子，提出了一种实用的不确定语言环境下的多属性决策方法。最后通过实例说明了该方法在决策应用中的合理性和有效性。(c)2015年，作者。爱思唯尔有限公司出版
In this paper, a new linguistic aggregation operator in linguistic environment is established and the desirable properties: monotonic, focus effect, idempotent, commutative and bounded are studied. Then, a new restricted ordering relation on the n-dimensional linguistic scales is proposed which satisfies strict pareto-dominance and is restricted by a weighting vector. A practical multiple attribute decision making methodology for an uncertain linguistic environment is proposed based on the proposed operator. An example is given to illustrate the rationality and validity of the new approach to decision making application. (c) 2015 The Authors. Published by Elsevier Ltd.