African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 231

Full Length Research Paper

Results on generalized fuzzy soft topological spaces

F. H. Khedr
  • F. H. Khedr
  • Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
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S. A. Abd El-Baki
  • S. A. Abd El-Baki
  • Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
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M. S. Malfi
  • M. S. Malfi
  • Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
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  •  Received: 09 May 2017
  •  Accepted: 07 July 2017
  •  Published: 30 April 2018

Abstract

In this manuscript, the concept of a generalized fuzzy soft point is introduced and some of its basic properties were studied. Also, the concepts of a generalized fuzzy soft base (subbase) and a generalized fuzzy soft subspace were introduced and some important theorems were established. Finally, the relationship between fuzzy soft set, intuitionistic fuzzy soft set, generalized fuzzy soft set and generalized intuitionistic fuzzy soft set were investigated.
 
Key words:  Fuzzy soft set, generalized fuzzy soft set, generalized fuzzy soft topology, generalized fuzzy soft base (subbase), generalized fuzzy soft subspace, intuitionistic fuzzy soft set.