Abstract
This paper focuses on the investigation of fuzzy filters of BL-algebras, an important and popular generic logical algebra. By studying the equivalent conditions of fuzzy fantastic filter and fuzzy normal filter of BL-algebras, the relation between these two filters are revealed. Two open problems of BL-algebras, i.e.,“Under what suitable condition a normal filter becomes a fantastic filter?” and “Under what suitable condition extension property for normal filter holds? (Extension property for a normal filter)”, are solved accordingly.
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Wei, W., Saeid, A.B. Solutions to Open Problems on Fuzzy Filters of BL-algebras. Int J Comput Intell Syst 8, 106–113 (2015). https://doi.org/10.2991/ijcis.2015.8.1.9
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DOI: https://doi.org/10.2991/ijcis.2015.8.1.9