Results 1 to 10 of about 162 (122)
Vague Congruences and Quotient Lattice Implication Algebras [PDF]
The Scientific World Journal, 2014 The aim of this paper is to further develop the congruence theory on lattice implication algebras. Firstly, we introduce the notions of vague similarity relations based on vague relations and vague congruence relations.
Xiaoyan Qin, Yi Liu, Yang Xu
doaj +5 more sources
IFI-ideals of lattice implication algebras [PDF]
International Journal of Computational Intelligence Systems, 2013 The notion of –ideal is introduced in lattice implication algebras. Firstly, the equivalent conditions of –ideals and –ideals are given in lattice implication algebras.
Hua Zhu, Jianbin Zhao, Yang Xu
doaj +3 more sources
On Power Idealization Filter Topologies of Lattice Implication Algebras [PDF]
The Scientific World Journal, 2014 The aim of this paper is to introduce power idealization filter topologies with respect to filter topologies and power ideals of lattice implication algebras, and to investigate some properties of power idealization filter topological spaces and their ...
Shi-Zhong Bai, Xiu-Yun Wu
doaj +2 more sources
On n-fold implicative filters of lattice implication algebras
International Journal of Mathematics and Mathematical Sciences, 2001 We introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and n-fold implicative lattice implication algebras.
Young Bae Jun
doaj +2 more sources
ON FUZZY IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS
Communications of the Korean Mathematical Society, 2003 Summary: We investigate some related properties of fuzzy filters and fuzzy implicative filters in lattice implication algebras. We find a characterization of fuzzy filters and fuzzy implicative filters, and we discuss a relation between fuzzy filters and fuzzy implicative filters in lattice implication algebras.
Zhu, Yiquan, Zhang, Qun, Roh, Eun Hwan
exaly +3 more sources
Fantastic filters of lattice implication algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 The notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given.
Young Bae Jun
doaj +3 more sources
Some operations on lattice implication algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We introduce the concept of a ⊗-closed set and a ⊗-homomorphism in lattice implication algebras, and we discuss some of their properties. Next, we introduce the fuzzy implicative filter and obtain equivalent conditions. Finally, we discuss the operation ⊗
E. H. Roh +3 more
doaj +2 more sources
Fuzzy Prime Filters of Lattice Implication Algebras
Fuzzy Information and Engineering, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi Liu
exaly +3 more sources
On Fuzzy Ideals of BL-Algebras [PDF]
The Scientific World Journal, 2014 In this paper we investigate further properties of fuzzy ideals of a BL-algebra. The notions of fuzzy prime ideals, fuzzy irreducible ideals, and fuzzy Gödel ideals of a BL-algebra are introduced and their several properties are investigated.
Biao Long Meng, Xiao Long Xin
doaj +2 more sources
FUZZIFYING FILTERS IN LATTICE IMPLICATION ALGEBRAS [PDF]
Honam Mathematical Journal, 2009 We introduce the concepts of a fuzzifying fllter and a fuzzifying implicative fllter in lattice implication algebras.
Seon-Yu Kim, Eun-Hwan Roh
exaly +2 more sources