Falling fuzzy (implicative) filters of R₀-algebras and its applications

Issue title: Recent Advances in Soft Computing: Theories and Applications

Article type: Research Article

Authors: Zhan, Jianming | Pei, Daowu | Jun, Young Bae

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

Note: [] Corresponding author. Jianming Zhan, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, 445000, China. Tel./Fax: +86 718 8437732; E-mails: [email protected] (Jianming Zhan); [email protected] (Daowu Pei); [email protected] (Young Bae Jun).

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.

Keywords: Falling shadow, filter, fuzzy filter, falling fuzzy (implicative) filter, falling fuzzy inference relation, R$_0$-algebra

DOI: 10.3233/IFS-2012-0580

Journal: Journal of Intelligent & Fuzzy Systems, vol. 24, no. 3, pp. 611-618, 2013