Volume 9, Issue 1, January 2016, Pages 110 - 119
Hesitant Fuzzy Filters in BE-algebras
Authors
Akbar Rezaei1, rezaei@pnu.ac.ir, Arsham Borumand Saeid2, *, arsham@uk.ac.ir
1Departement of Mathematics, Payame Noor University, P. O. Box. 19395-3697, Tehran, Iran
2Departement of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
*Corresponding author
Corresponding Author
Arsham Borumand Saeidarsham@uk.ac.ir
Received 31 October 2014, Accepted 1 December 2015, Available Online 1 January 2016.
- DOI
- 10.1080/18756891.2016.1144157How to use a DOI?
- Keywords
- BE-algebra; Hesitant fuzzy (implicative) filter; Hesitant level subset; γ-inclusive
- Abstract
In this paper, we introduce the notion of hesitant fuzzy (implicative) filters and get some results on BE-algebras and show that every hesitant fuzzy implicative filter is a hesitant fuzzy filter but not the converse. Finally, we state and prove the relationship between hesitant fuzzy (implicative) filters and γ-inclusive sets.
- Copyright
- © 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
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TY - JOUR AU - Akbar Rezaei AU - Arsham Borumand Saeid PY - 2016 DA - 2016/01/01 TI - Hesitant Fuzzy Filters in BE-algebras JO - International Journal of Computational Intelligence Systems SP - 110 EP - 119 VL - 9 IS - 1 SN - 1875-6883 UR - https://doi.org/10.1080/18756891.2016.1144157 DO - 10.1080/18756891.2016.1144157 ID - Rezaei2016 ER -