广义区间梯形模糊软集在群偏好集结中的应用

计算机应用 ›› 2014, Vol. 34 ›› Issue (12): 3451-3457.

广义区间梯形模糊软集在群偏好集结中的应用

陈秀明¹,²,钱丽¹,李敬明¹,²,吴炜炜¹,程家兴¹,³

1. 安徽新华学院信息工程学院,合肥 230088
2. 合肥工业大学管理学院,合肥 230001;
3. National Key Laboratory of Computational Intelligence and Signal Processing of the Ministry of Education (Anhui University), Hefei Anhui 230039, China

收稿日期:2014-06-16 修回日期:2014-08-14 出版日期:2014-12-01 发布日期:2014-12-31
通讯作者: 陈秀明
作者简介:陈秀明(1972-),男,安徽安庆人,博士研究生,主要研究方向:智能决策；钱丽(1976-),女,安徽安庆人,博士研究生,主要研究方向:公共管理；李敬明(1979-),男,安徽蚌埠人,博士研究生,主要研究方向:智能计算；吴炜炜 (1982-）,女,河南商丘人,副教授,主要研究方向:决策分析；程家兴(1946-),男,安徽黄山人,教授,博士生导师,博士, 主要研究方向:智能计算。
基金资助:
安徽省教育厅自然科学重点科研项目;安徽省教育厅自然科学研究项目;安徽省高等学校教学研究项目;安徽新华学院校级研究项目;国家大学生创新项目;安徽省高等学校人文社会科学重点研究基地安徽新华学院大学生素质教育研究中心项目

Generalized interval-valued trapezoidal fuzzy soft set and its application in group preferences aggregation

CHEN Xiuming¹,²,QIAN Li¹,LI Jingming¹,²,WU Weiwei¹,CHENG Jiaxing¹,³

1. School of Information Engineering, Anhui Xinhua University, Hefei Anhui 230088, China;
2. School of Management, Hefei University of Technology, Hefei Anhui 230001, China;
3. National Key Laboratory of Computational Intelligence and Signal Processing of the Ministry of Education (Anhui University), Hefei Anhui 230039, China

Received:2014-06-16 Revised:2014-08-14 Online:2014-12-01 Published:2014-12-31
Contact: CHEN Xiuming

摘要/Abstract

摘要：

针对群推荐中个体偏好信息如何集成群体偏好信息,不同用户对商品关注的属性不完全相同,以及用户对商品属性权重分配不同的复杂问题,提出区间梯形模糊软集的群偏好集结模型。首先,结合广义区间梯形模糊集和软集的概念建立广义区间梯形模糊软集的概念,定义其基本运算性质；其次,将模糊语言映射成广义区间梯形模糊数,利用广义区间梯形模糊软集的并、交运算,以及广义区间梯形模糊数的重心算法进行排序,将个体用户的偏好信息集结成群偏好信息；最后,以汽车的推荐为例介绍群偏好集结算法。算例结果显示,用该模型解决群体偏好集结是合理和有效的。

Abstract:

Owing to that different users focus on attributes of the same item is not exactly the same, individuals' weight distribution for goods attributes are not the same. A method of the generalized interval-valued trapezoidal fuzzy soft set was proposed to deal with this kind of recommendation problems. First, the concept of generalized interval-valued trapezoidal fuzzy soft set was established by combining the concepts of generalized interval-valued trapezoidal fuzzy set and soft set, some basic operations on a generalized interval-valued trapezoidal fuzzy soft set were defined, such as “and” operation, and “or” operation. Using these operations, as well as the center of gravity method of the generalized interval-valued trapezoidal fuzzy numbers, commodities could be ranked. A group preference model from the preferences of the group members could be constructed. Finally, this paper used the car recommendation as an example to introduce the group preference aggregation algorithm and this numerical example was given to illustrate the feasibility and effectiveness of the proposed method.

中图分类号:

O159

陈秀明钱丽李敬明吴炜炜程家兴. 广义区间梯形模糊软集在群偏好集结中的应用[J]. 计算机应用, 2014, 34(12): 3451-3457.

CHEN Xiuming QIAN Li LI Jingming WU Weiwei CHENG Jiaxing. Generalized interval-valued trapezoidal fuzzy soft set and its application in group preferences aggregation[J]. Journal of Computer Applications, 2014, 34(12): 3451-3457.

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