不确定区间隶属度语言变量及其应用

doi:10.12005/orms.2017.0086

运筹与管理 ›› 2017, Vol. 26 ›› Issue (4): 84-88.DOI: 10.12005/orms.2017.0086

不确定区间隶属度语言变量及其应用

杜玉琴¹, 侯福均², 于倩³, 翟玉冰²

1.中国青年政治学院经济管理学院,北京 100089;
2.北京理工大学管理与经济学院,北京 100081;
3.重庆科技学院工商管理学院,重庆 401331

收稿日期:2015-06-21 出版日期:2017-04-25
作者简介:杜玉琴(1976-),女,博士,黑龙江省明水县人,研究方向:决策理论与方法;侯福均(1967-),男,博士生导师,副教授,河北省三河市人,研究方向:决策理论与方法,运筹与优化。
基金资助:
国家自然科学基金资助项目(71571019);中国青年政治学院学术创新支持计划项目研究成果(189100113)

Uncertain Interval Membership Iinguistic Variables and Their Application

DU Yu-qin¹, HOU Fu-jun², YU qian³, ZHAI Yu-bing²

1.China Youth University of Political Studies, School of Economics and Management, Beijing 100089, China;
2.Beijing Institute of Technology, School of Management and Economics, Beijing 100081, China;
3.Chongqing University of Science& Technology, School of Business Administration, Chongqing 401331, China

Received:2015-06-21 Online:2017-04-25

摘要/Abstract

摘要： 基于不确定语言变量和区间模糊数,提出了不确定区间隶属度语言变量的概念,定义了不确定区间隶属度语言变量的运算规则、大小比较方法,给出了不确定区间隶属度语言变量的加权算术平均算子、加权几何平均算子及其相应性质,并将这些算子应用于属性权重确知且属性值以不确定区间隶属度语言变量形式给出的不确定多属性群决策问题中,通过示例验证了基于不确定区间隶属度语言变量信息的多属性群决策方法的有效性和可行性。

关键词: 不确定区间隶属度语言变量, 加权算术平均算子, 加权几何平均算子, 多属性群决策

Abstract: Based on the uncertain linguistic variables and the interval fuzzy number, uncertain interval membership linguistic number(UIMLV)is introduced in this paper, then some basic definition such as the operational laws, score function, accuracy function and comparison rules of the UIMLV are defined. Next, the uncertain interval membership linguistic weighted average(UIMLWA)operator, the uncertain interval membership linguistic weighted geometric(UIMLWG)operator are presented, and some desirable properties are discussed. Finally, an approach is proposed under the uncertain interval membership linguistic environment, and an illustrative example is given to verify the effectiveness and feasibility of the proposed approach.

Key words: uncertain interval membership linguistic variable, weighted average operator, weighted geometric operator, multiple attribute group decision making

中图分类号:

C934

杜玉琴, 侯福均, 于倩, 翟玉冰. 不确定区间隶属度语言变量及其应用[J]. 运筹与管理, 2017, 26(4): 84-88.

DU Yu-qin, HOU Fu-jun, YU qian, ZHAI Yu-bing. Uncertain Interval Membership Iinguistic Variables and Their Application[J]. Operations Research and Management Science, 2017, 26(4): 84-88.

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不确定区间隶属度语言变量及其应用

Uncertain Interval Membership Iinguistic Variables and Their Application

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