Abstract
The aim of this paper is further to develop the fuzzy filter theory of general residuated lattices. The concepts of \((\in ,\in \vee q_{k})\)-fuzzy positive implicative filter, \((\in ,\in \vee q_{k})\)-fuzzy MV filter and \((\in ,\in \vee q_{k})\)-fuzzy regular filter are introduced; Their properties are investigated, and some equivalent characterizations of these generalized fuzzy filters are also derived.
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This work is supported by National Natural Science Foundation of P.R.China (Grant no. 61175055, 61305074); The Application Basic Research Plan Project of Sichuan Province (No.2015JY0120), The Scientific Research Project of Department of Education of Sichuan Province (14ZA0245, 15ZB0270).
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Liu, Y., Mou, L. (2015). Generalized Fuzzy Regular Filters on Residuated Lattices. In: Ciucci, D., Wang, G., Mitra, S., Wu, WZ. (eds) Rough Sets and Knowledge Technology. RSKT 2015. Lecture Notes in Computer Science(), vol 9436. Springer, Cham. https://doi.org/10.1007/978-3-319-25754-9_32
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DOI: https://doi.org/10.1007/978-3-319-25754-9_32
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