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Intuitionistic Fuzzy Rough Approximation Operators Determined by Intuitionistic Fuzzy Triangular Norms

机译：由直觉模糊三角范数确定的直觉模糊粗糙近似算子

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摘要

In this paper, relation-based intuitionistic fuzzy rough approximation operators determined by an intuitionistic fuzzy triangular norm T are investigated. By employing an intuitionistic fuzzy triangular norm T and its dual intuitionistic fuzzy triangular conorm, lower and upper approximations of intuitionistic fuzzy sets with respect to an intuitionistic fuzzy approximation space are first introduced. Properties of T-intuitionistic fuzzy rough approximation operators are then examined. Relationships between special types of intuitionistic fuzzy relations and properties of T-intuitionistic fuzzy rough approximation operators are further explored.
机译：本文研究了由直觉模糊三角范数T确定的基于关系的直觉模糊粗糙逼近算子。通过采用直觉模糊三角范数T及其对偶直觉模糊三角定理，首先介绍直觉模糊集相对于直觉模糊近似空间的上下近似。然后检查T直觉模糊粗糙近似算子的性质。进一步探讨了直觉模糊关系的特殊类型与T-直觉模糊粗糙逼近算子的性质之间的关系。

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  • 会议地点 Shanghai(CN))
  • 作者

    Wei-Zhi Wu; Shen-Ming Gu; Tong-Jun Li; You-Hong Xu;

  • 作者单位

    School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, 316022, P.R. China,Chongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China;

    School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, 316022, P.R. China,Chongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China;

    School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, 316022, P.R. China;

    School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, 316022, P.R. China,Chongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Approximation operators; Intuitionistic fuzzy rough sets; Intuitionistic fuzzy sets; Intuitionistic fuzzy triangular norms; Rough sets;

    机译：近似运算符；直觉模糊粗糙集；直觉模糊集；直觉模糊三角规范；粗集;

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