计算机工程与应用 ›› 2012, Vol. 48 ›› Issue (18): 45-47.

• 研究、探讨 • 上一篇    下一篇

软直觉模糊集

牛  刚   

  1. 西北师范大学 数学与信息科学学院,兰州 730070
  • 出版日期:2012-06-21 发布日期:2012-06-20

Soft intuitionistic fuzzy sets

NIU Gang   

  1. College of Mathematics & Information Science, Northwest Normal University, Lanzhou 730070, China
  • Online:2012-06-21 Published:2012-06-20

摘要: 直觉模糊集是在模糊集上增加了一个新的属性参数:非隶属度函数,成为描述“非此非彼”的“模糊概念”的工具。为了提高决策的精确性,将软集与直觉模糊集相结合,构造了一种新的数学模型,即直觉模糊软集,对其性质进行了一些讨论。

关键词: 直觉模糊集, 粗糙集, 软集, 模糊软集

Abstract: By adding a new attribute parameter called nonmember ship function on fuzzy set, intuitionistic fuzzy set becomes a tool which can describe the “neither-nor” fuzzy conception. In order to improve the accuracy of decision-making, this text combines soft sets with intuitionistic fuzzy sets, constructs a new mathematical model, namely intuitionistic fuzzy soft sets, and the properties are discussed.

Key words: intuitionistic fuzzy sets, rough sets, soft sets, fuzzy soft sets