基于区间数的多阶段交互式群体评价方法及应用

中国管理科学 ›› 2014, Vol. 22 ›› Issue (10): 129-135.

基于区间数的多阶段交互式群体评价方法及应用

张发明, 孙文龙

南昌大学经济与管理学院, 江西南昌 330031

收稿日期:2012-11-20 修回日期:2013-06-23 出版日期:2014-10-20 发布日期:2014-10-20
作者简介:张发明（1980-），男（汉族），江西临川人，南昌大学经济与管理学院，博士，教授，博士生导师，研究方向：综合评价与决策支持.
基金资助:
国家自然科学基金资助项目（71361021，71001048）；国家社会科学基金资助项目（11BGL063）；江西省教育厅科技资助项目（GJJ14113）；江西省社会科学“十二五规划”项目（13GL38）

Multi-Stage Dynamic Interactive Group Evaluation Method Based On Interval Information and Its Application

ZHANG Fa-ming, SUN Wen-long

School of Economics & Management, Nanchang University, Nanchang 330031, China

Received:2012-11-20 Revised:2013-06-23 Online:2014-10-20 Published:2014-10-20

摘要/Abstract

摘要： 针对目前多阶段交互式评价研究数量相对较少并且均是基于点值评价信息的缺陷，以及大多数群体评价研究中忽视了评分区间与可变评价信息的内在联系等不足，综合讨论了一种基于区间数的多阶段交互式群体评价方法。本文首先分析了交互式评价中区间型评价信息的特性，进而提出了评分区间重置算法的设计思想。该算法能够实现评分区间与每轮调整后评价信息的协同调整，并推动交互的进行，使评价信息趋于稳定。然后从稳定性角度出发，设计群体评价信息的稳定性指标，以此讨论交互终止条件。最后给出一个应用算例，算例表明了该方法的可行性和有效性。

关键词: 区间数, 评分区间, 正态分布, 群体评价, 交互

Abstract: Currently, the numbers of multi-stage dynamic interactive croup evaluation studies is very small, and most of them base on point value evaluation information. Furthermore, most group evaluation studies neglect intrinsic logical link between rating range and variable evaluation information. To overcome these kinds of shortage, a multi-stage dynamic interactive group evaluation method is proposed based on interval information. The characteristics of interval evaluation information in interactive group evaluation are analyzed firstly, then the design idea of rating interval reset algorithm is put forward. Accompanied evaluation information changing, this algorithm can realize synchronously adjusting the rating range, promoting interaction progress and making evaluation information tend to be stable. Then, from the stability perspective, the paper defines stability of indicator index to explore the interaction termination' s base. Finally, a numerical example is given to show the feasibility and validity for the method.

Key words: interval number, rating range, normal distribution, group evaluation, interaction

中图分类号:

C931

张发明, 孙文龙. 基于区间数的多阶段交互式群体评价方法及应用[J]. 中国管理科学, 2014, 22(10): 129-135.

ZHANG Fa-ming, SUN Wen-long. Multi-Stage Dynamic Interactive Group Evaluation Method Based On Interval Information and Its Application[J]. Chinese Journal of Management Science, 2014, 22(10): 129-135.

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