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模糊数值函数的可导性
  • ISSN号：1000-0984
  • 期刊名称：数学的实践与认识
  • 时间：2012
  • 页码：263-270
  • 分类：O225[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]甘肃农业大学理学院,甘肃兰州730070, [2]陇东学院数学与统计学院,甘肃庆阳745000
  • 相关基金：国家自然科学基金（71061013）;甘肃农业大学创新基金（GAU-CX1006）审稿人对本文初稿提出了很有价值的修改意见,对此表示衷心地感谢.
  • 相关项目：不连续模糊系统的边值问题及解的变差稳定性研究
作者： 邵亚斌|
关键词： 直觉模糊数, 多属性决策, 不完备直觉模糊数, intuitionistic fuzzy number, multiple-attribute decision-making, incomplete intuitionistic fuzzy number
中文摘要：

多属性决策过程中，每个方案的属性值有时体现为由直觉模糊数所刻划的语言变量，通过定义直觉模糊数间的距离，首先提出了基于直觉模糊数的TOPSIS方法；其次，考虑到在实际问题中往往会遇到不完备直觉模糊信息的事实，提出一种：弁不完备直觉模糊数完备化的方法，并建立了基于不完备直觉模糊信息的TOPSIS方法，同时通过实例说明该方法的有效性以及在多属性决策中的应用．

英文摘要：

decision-making, the evaluation of each alternative with respect to each crite- rion and the weights of each criterion are usually given as linguistic terms characterized by intuitionistic fuzzy numbers. Using the multiplication of intuitionistic fuzzy numbers and the defined distance between them, the TOPSIS method with intuitionistic fuzzy numbers is proposed firstly. Considering the fact that, in the practical application, we usually have in- complete other than complete information. We present an approach to complete incomplete intuitionistic fuzzy numbers and the TOPSIS method with incomplete intuitionistic fuzzy numbers is also proposed. At the same time, the numerical examples are given to illustrate the feasibility of the proposed approaches.

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期刊信息
  • 《数学的实践与认识》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:22973