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计算机工程

• 人工智能及识别技术 • 上一篇    下一篇

Support-intuitionistic模糊集集成算子及其决策应用

杨勇,梁晨成   

  1. (西北师范大学 计算机科学与工程学院,兰州 730070)
  • 收稿日期:2015-12-10 出版日期:2017-01-15 发布日期:2017-01-13
  • 作者简介:杨勇(1967—),男,教授,主研方向为智能计算;梁晨成,硕士研究生。
  • 基金资助:
    国家自然科学基金(61163036)。

Aggregation Operators of Support-intuitionistic Fuzzy Sets and Their Applications in Decision Making

YANG Yong,LIANG Chencheng   

  1. (College of Computer Science and Engineering,Northwest Normal University,Lanzhou 730070,China)
  • Received:2015-12-10 Online:2017-01-15 Published:2017-01-13

摘要: 介绍Support-intuitionistic模糊集(SIFS)的概念,定义SIFS运算法则和客观权重,在此基础上提出SIFS加权算术平均算子和加权几何平均算子并证明相关定理。建立基于SIFS模糊信息的决策方法及定义SIFS得分函数和精确函数,利用SIFS支持度确定目标属性的权重使得属性权重成为客观值,加强集成结果的客观性。通过实例验证了该决策方法适用于处理基于SIFS模糊信息环境的决策问题。

关键词: Support-intuitionistic模糊集, 集成算子, 得分函数, 精确函数, 决策, 客观权重

Abstract: The concept of Support-intuitionistic Fuzzy Set(SIFS) is introduced;operational laws and the objective weight for SIFS are defined.Based on the operational laws and the objective weight,the weighted arithmetic average operator and the weighted geometric average operator for SIFS are defined and the proofs of the theorems for them are provided.A method for decision making based on SIFS fuzzy information is constructed,in which the score function and accuracy function for SIFS are defined.In this method,the support degrees of Support-intuitionistic values are used for determining the weights of the target attributes,so that the weights of the attributes become objective values,which increases the objectiveness of the aggregation results.A practical example verifies that this method can be used for the decision making problems under the environment of SIFS fuzzy information.

Key words: Support-intuitionistic Fuzzy Set(SIFS), aggregation operator, score function, accuracy function, decision making, objective weight

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