Some types of falling fuzzy filters of BL-algebras and its applications

Authors:
Jianming Zhan;Young Bae Jun;Hee Sik Kim
Affiliations:
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, P.R. China;Department of Mathematics Education, Gyeongsang National University, Chinju, Korea;Department of Mathematics, Hanyang University, Seoul, Korea
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

The notions of falling fuzzy implicative, positive implicative and fantastic filters of a BL-algebra are introduced based on the theory of falling shadows and fuzzy sets. The relations between fuzzy implicative, positive implicative and fantastic filters and falling fuzzy implicative, positive implicative and fantastic filters are provided. Finally, we apply the concept of falling fuzzy inference relations to BL-algebras and obtain some related results.