Title :
Interval Valued Fuzzy Filters of Lattice Implication Algebras
Author_Institution :
Key Lab. of Numerical Simulatioin of Sichuan Provice, Neijiang Normal Univ., Neijiang, China
Abstract :
The concept of quasi-coincidence of a fuzzy point with a fuzzy set is extended to the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, the notions of interval valued (∈, ∈ ⋁q)-fuzzy filters in lattice implication algebras which is a generalization of ordinary fuzzy filters of lattice implication algebras, is defined, and their related properties and equivalent description are given. In particular, the concept of a fuzzy subgroup with thresholds is generalized to the concept of an interval valued fuzzy filter with thresholds in lattice implication algebras.
Keywords :
algebra; fuzzy set theory; Interval valued fuzzy filters; equivalent description; fuzzy point; fuzzy set theory; lattice implication algebras; Educational institutions; Filtering theory; Fuzzy sets; Information filters; Lattices; (?; ? Vq)-fuzzy filter; fuzzy interval value; interval valued fuzzy filter with thresholds; lattice implication algebra; quasi-coincidence;
Conference_Titel :
Internet Computing & Information Services (ICICIS), 2011 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4577-1561-7
DOI :
10.1109/ICICIS.2011.73
