Falling fuzzy implicative filters of R0-algebras and its applications

Authors:
Jianming Zhan;Daowu Pei;Young Bae Jun
Affiliations:
Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, China;Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, China;Department of Mathematics Education, Gyeongsang National University, Chinju, Korea
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications
Year:
2013

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Abstract

Based on the theory of falling shadows and fuzzy sets, the notions of falling fuzzy implicative filters of R0-algebras are introduced. The relations between fuzzy implicative filters and falling fuzzy implicative filters are provided. Finally, we apply the concept of falling fuzzy inference relations to R0-algebras and obtain some related results.