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Afrika Matematika

, Volume 29, Issue 7–8, pp 1215–1224 | Cite as

On fuzzy subsets in \(\Gamma \)-semihypergroup through left operator semihypergroup

  • Kostaq Hila
  • Saleem Abdullah
  • Muhammad Aslam
Article
  • 29 Downloads

Abstract

In this paper, some fundamental relationships of a \(\Gamma \)-semihypergroup and its operator semihypergroup in terms of fuzzy subsets, fuzzy hyperideals and fuzzy hyperideal extension are obtained. Using these in obtaining some characterization theorems of \(\Gamma \)-semihypergroups in terms of fuzzy subsets, we highlight the effectiveness of operator semihypergroups in the study of \(\Gamma \)-semihypergroups in terms of fuzzy subsets.

Keywords

\(\Gamma \)-semihypergroup Operator semihypergroup Fuzzy hyperideal 

Mathematics Subject Classification

20N20 04A72 

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Computer Science, Faculty of Natural SciencesUniversity of GjirokastraGjirokastërAlbania
  2. 2.Department of MathematicsAbdul Wali Khan UniversityMardanPakistan
  3. 3.Department of MathematicsQuaid-i-Azam UniversityIslamabadPakistan

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