On v-filters of residuated lattices with hedges

Authors:
Fengming Dai;Zhudeng Wang
Affiliations:
Department of Mathematics, Yancheng Teachers University, Jiangsu, People's Republic of China;Department of Mathematics, Yancheng Teachers University, Jiangsu, People's Republic of China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

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Abstract

In this paper, based on Hájek, Vychodil, Rachůnek and Šalounová's works, we introduce and study the concept of v-filters of residuated lattices with two hedges. We give the formulas for calculating the v-filters generated by subsets, and show that the lattice of v-filters of a residuated lattice with two hedges is a complete Brouwerian lattice.