Interval valued intuitionistic fuzzy sets in \(\Gamma \) -semihypergroups

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• 作者：Saleem Abdullah ; Muhammad Aslam ; Kostaq Hila
• 关键词：Γ ; Semihypergroup ; Regular (intra ; regular ; completely regular) Γ ; semihypergroup ; Γ ; hyperideal ; i ; v intuitionistic fuzzy set ; i ; v intuitionistic fuzzy left (right two ; sided) Γ ; hyperideal ; i ; v intuitionistic fuzzy bi ; Γ ; hyperideal ; i ; v intuitionistic fuzzy M(resp. N) ; hypersystems
• 刊名：International Journal of Machine Learning and Cybernetics
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：7
• 期：2
• 页码：217-228
• 全文大小：452 KB
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• 作者单位：Saleem Abdullah (1)
  Muhammad Aslam (2)
  Kostaq Hila (3)
  
  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Paksitan
  2. Department of Mathematics, King Khalid University, Abha, Saudi Arabia
  3. Department of Mathematics and Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania
  
• 刊物类别：Engineering
• 刊物主题：Artificial Intelligence and Robotics
  Statistical Physics, Dynamical Systems and Complexity
  Computational Intelligence
  Control , Robotics, Mechatronics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1868-808X

文摘

The notion of interval valued intuitionistic fuzzy sets was introduced by Atanassov and Gargov as a generalization of the notion of intuitionistic fuzzy sets and interval valued fuzzy sets. In this paper, we initiate a study on interval valued intuitionistic fuzzy sets in \(\Gamma \)-semihypergroups. We introduce the notions of interval valued intuitionistic fuzzy left (right, two sided) \(\Gamma \)-hyperideal, interval valued intuitionistic fuzzy bi-\(\Gamma \)-hyperideal and interval valued intuitionistic fuzzy (1,2) \(\Gamma \)-hyperideal in a \(\Gamma \)-semihypergroup and some properties of them are obtained. We use the interval valued intuitionistic fuzzy left, right, two-sided and bi-\(\Gamma \)-hyperideals to characterize some classes of \(\Gamma \)-semihypergroups. We also introduce the notion of an interval valued intuitionistic fuzzy \(M\) (resp. \(N\))-hypersystem of a \(\Gamma \)-semihypergroup and some properties of them are investigated.