基于Archimedean三角模的犹豫直觉模糊语言信息群决策方法

doi:10.12005/orms.2019.0195

运筹与管理 ›› 2019, Vol. 28 ›› Issue (9): 27-32.DOI: 10.12005/orms.2019.0195

基于Archimedean三角模的犹豫直觉模糊语言信息群决策方法

俞锦涛, 王金山

陆军炮兵防空兵学院基础部,安徽合肥 230031

收稿日期:2018-06-27 出版日期:2019-09-25
作者简介:俞锦涛(1994-),男,浙江诸暨人,硕士研究生,主要从事预测与决策分析研究;王金山(1962-),男,安徽亳州人,教授,硕士,主要从事预测与决策分析研究。
基金资助:
院校武器装备军内科研基金资助项目(JNKY2012015);陆军军官学院科研基金资助项目(2016-01-ZZLX-17)

Group Decision Making Method with Hesitant Intuitionistic Fuzzy Linguistic Information Based on Archimedean t-norm

YU Jin-tao, WANG Jin-shan

Department of Basic Sciences, Army Academy of Artillery and Air Defense, 230031 Hefei, Anhui

Received:2018-06-27 Online:2019-09-25

摘要/Abstract

摘要： 针对语言术语集下标运算不封闭的问题,基于Archimedean三角模讨论了犹豫直觉模糊语言信息下的封闭运算体系。首先提出基于Archimedean三角模的犹豫直觉模糊语言集,然后给出了相应的得分函数、精确函数、排序规则和集结算子,给出一种基于Archimedean三角模的犹豫直觉模糊语言信息的群决策方法,最后用一个实例说明了方法的有效性和优越性。

关键词: Archimedean三角模, 封闭运算, 犹豫直觉模糊语言集, 群决策

Abstract: In order to solve the problem of unclosed subscript operation of linguistic term set, the closed operation system under the hesitant intuitionistic fuzzy linguistic information based on Archimedean t-norm is discussed. Firstly, the hesitant intuitionistic fuzzy linguistic set based on the Archimedean t-norm is proposed. Then the corresponding score function, accuracy function, rules of collation and aggregation operators are given. Based on the set above, a method of group decision making is presented to solve real problems. Finally, an example is given to illustrate the effectiveness and the superiority of the method.

Key words: Archimedean t-norm, closed operation, hesitant intuitionistic fuzzy linguistic set, group decision making

中图分类号:

C934

俞锦涛, 王金山. 基于Archimedean三角模的犹豫直觉模糊语言信息群决策方法[J]. 运筹与管理, 2019, 28(9): 27-32.

YU Jin-tao, WANG Jin-shan. Group Decision Making Method with Hesitant Intuitionistic Fuzzy Linguistic Information Based on Archimedean t-norm[J]. Operations Research and Management Science, 2019, 28(9): 27-32.

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基于Archimedean三角模的犹豫直觉模糊语言信息群决策方法

Group Decision Making Method with Hesitant Intuitionistic Fuzzy Linguistic Information Based on Archimedean t-norm

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