Soft Computing

, Volume 22, Issue 22, pp 7539–7551 | Cite as

Stratified L-prefilter convergence structures in stratified L-topological spaces

  • Bin PangEmail author
  • Zhen-Yu Xiu


In this paper, a new approach to fuzzy convergence theory in the framework of stratified L-topological spaces is provided. Firstly, the concept of stratified L-prefilter convergence structures is introduced and it is shown that the resulting category is a Cartesian closed topological category. Secondly, the relations between the category of stratified L-prefilter convergence spaces and the category of stratified L-topological spaces are studied and it is proved that the latter can be embedded in the former as a reflective subcategory. Finally, the relations between the category of stratified L-prefilter convergence spaces and the category of stratified L-Min convergence spaces (fuzzy convergence spaces in the sense of Min) are investigated and it is shown that the former can be embedded in the latter as a reflective subcategory.


Fuzzy topology Fuzzy convergence L-prefilter Quasi-coincident neighborhood system Cartesian-closedness Reflective subcategory 



The authors would like to express their sincere thanks to the anonymous reviewers and the area editor for their careful reading and constructive comments. The first author thanks to the Natural Science Foundation of China (No. 11701122) and the Natural Science Foundation of Guangdong Province (No. 2017A030310584). The second author thanks to the Scientific Research Foundation of CUIT (KYTZ201631, CRF201611, 17ZB0093).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest regarding the publication of this paper.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsBeijing Institute of TechnologyBeijingPeople’s Republic of China
  2. 2.College of Applied MathematicsChengdu University of Information TechnologyChengduPeople’s Republic of China

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