Title :
On v-filters of Residuated Lattices with Hedges
Author :
Dai, Fengming ; Wang, Zhudeng
Author_Institution :
Dept. of Math., Yancheng Teachers Univ., Yancheng, China
Abstract :
In this paper, based on Hajek, Vychodil, Rachunek and Salounova´s works, we introduce and study the concept ofv-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.
Keywords :
filtering theory; lattice filters; set theory; Brouwerian lattice; hedges; residuated lattices; subsets generation; v-filters; Boolean algebra; Filtering theory; Filters; Fuzzy logic; Fuzzy systems; Lattices; Logic functions; Mathematics; hedge; residuated lattice; v-filter;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.240
