Affiliations: [a] College of Mathematics and Econometrics, Hunan University, Changsha, Hunan province, P.R. China | [b] College of Sciences, China Jiliang University, Hangzhou, Zhejiang province, P.R. China
Correspondence:
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Corresponding author. Qingguo Li, of Sciences, China Jiliang University, Hangzhou, Zhejiang province, P.R. China. E-mail: liqingguoli@aliyun.com
Note: [1] This work is supported by the National Natural Science Foundation of China, Grant No. 11371130, 61273018 and by the Research Fund for the Doctoral Program of Higher Education of China, Grant No. 20120161110017
Abstract: On residuated lattices, the notion of (∈ , ∈ ∨ q)-fuzzy t-filters is introduced and relative properties (e.g. Extension property, Triple of equivalent characteristics and Quotient characteristics) are uniformly covered by this simple general framework. The relations among (∈ , ∈ ∨ q)-fuzzy t-filters are investigated.
