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Stratified modeling in soft fuzzy topological structures

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Abstract

In this paper, we introduce the concepts of stratified fuzzy soft topogenous, stratified fuzzy soft filter, stratified fuzzy soft quasi-proximity and stratified fuzzy soft grill. Also, we introduce the concept of fuzzy soft topogenous structures by combining fuzzy soft topogenous with fuzzy soft filter and we introduce the concept of fuzzy soft quasi-proximity by combining fuzzy soft quasi-proximity with fuzzy soft grill and give their properties. Furthermore, we establish the relationship among these fuzzy soft topological structures and their stratifications.

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Acknowledgements

The authors would like to thank the referees for their valuable comments and suggestions which have improved this paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia

    S. E. Abbas

  2. Department of Mathematics, Faculty of Science, Sohag University, Sohâg, 82524, Egypt

    E. El-sanowsy & A. Atef

Authors
  1. S. E. Abbas
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  2. E. El-sanowsy
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  3. A. Atef
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Correspondence to A. Atef.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by M. Anisetti.

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Abbas, S.E., El-sanowsy, E. & Atef, A. Stratified modeling in soft fuzzy topological structures. Soft Comput 22, 1603–1613 (2018). https://doi.org/10.1007/s00500-018-3004-5

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  • DOI: https://doi.org/10.1007/s00500-018-3004-5

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