Title :
The (∈, ∈ ∨ q(λ,μ))- Fuzzy implicative filter of lattice implication algebra
Author :
Xiao-Bo Fu ; Zu-Hua Liao ; Chan Zhu
Author_Institution :
Wuxi Inst. of Technol., Jiangnan Univ., Wuxi, China
Abstract :
In this paper, the concepts of (∈, ∈ ⋁ q(λ,μ)) - fuzzy implicative filter and generalized fuzzy implicative filter are introduced, and the relationship is also discussed; Besides, we present some equivalent descriptions of the (∈, ∈ ⋁ q(λ,μ))- fuzzy implicative filter, and discuss the related properties. Some basic properties of homomorphism image and homomorphism preimage of the (∈, ∈ ⋁ q(λ,μ)) - fuzzy implicative filter are also studied; And finally, the direct product of the (∈, ∈ ⋁ q(λ,μ)) - fuzzy implicative filter is studied.
Keywords :
algebra; filtering theory; fuzzy set theory; equivalent description; generalized fuzzy implicative filter; homomorphism image; homomorphism preimage; lattice implication algebra; Algebra; Cognition; Educational institutions; Electronic mail; Filtering theory; Information filtering; Lattices; (∈, ∈ ∨ q(λ,μ)) - Fuzzy Implicative Filter; Direct Product; Generalized Fuzzy Implicative Filter; Homomorphism;
Conference_Titel :
Fuzzy Theory and Its Applications (iFUZZY), 2013 International Conference on
Conference_Location :
Taipei
DOI :
10.1109/iFuzzy.2013.6825482
