基于Archimedean三角模的广义直觉模糊不确定语言变量集成方法

J4 ›› 2013, Vol. 48 ›› Issue (3): 53-63.

基于Archimedean三角模的广义直觉模糊不确定语言变量集成方法

巩增泰,齐颖

西北师范大学数学与统计学院, 甘肃兰州 730070

收稿日期:2012-09-21 出版日期:2013-03-20 发布日期:2013-03-14
作者简介:巩增泰(1966- ), 男, 博士, 教授, 研究方向为实分析、模糊分析学和粗糙集理论. Email: gongzt@nwnu.edu.cn
基金资助:
国家自然科学基金资助项目 (71061013, 61262022); 西北师范大学知识创新工程资助项目(NWNU-KJCXGC-03-61)

Aggregating of the general intuitionistic uncertain linguistic variables based on Archimedean tnorm

GONG Zeng-tai, QI Ying

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China

Received:2012-09-21 Online:2013-03-20 Published:2013-03-14

摘要/Abstract

摘要：

考虑到在具体的博弈、利益团体投票或决策过程中, 直觉模糊不确定语言变量的表示往往受到决策者历史知识、感性判断等因素的限制, 本文借助于模糊逻辑非门算子, 对直觉模糊不确定语言变量进行推广, 提出了广义直觉模糊不确定语言变量的概念。利用Archimedean三角模和Archimedean三角余模, 建立了基于Archimedean三角模的广义直觉模糊不确定语言变量的集成方法。

关键词: 直觉模糊不确定语言变量; Archimedean三角模; 集成算子

Abstract:

Considering that the representation of the intuitionistic uncertain linguistic variable is always restricted by the historical knowledge of policy makers, perceptual judgment and other factors in the game playing, in the process of benefit groups voting or decision, we improve the relationship between the membership and the nonmembership degree for the intuitionistic sets, and the generalized intuitionistic uncertain linguistic variables by means of the fuzzy logic non-portal operators are defined. Also, by using the Archimedean t-conorm and t-norm, the generalized intuitionistic uncertain linguistic variable and its aggregating theory are established.

Key words: intuitionistic uncertain linguistic variable; Archimedean t-norm; aggregating operator

巩增泰,齐颖. 基于Archimedean三角模的广义直觉模糊不确定语言变量集成方法[J]. J4, 2013, 48(3): 53-63.

GONG Zeng-tai, QI Ying. Aggregating of the general intuitionistic uncertain linguistic variables based on Archimedean tnorm[J]. J4, 2013, 48(3): 53-63.

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