Results 131 to 140 of about 804,554 (168)

FOLDING THEORY OF IMPLICATIVE/FANTASTIC FILTERS IN LATTICE IMPLICATION ALGEBRAS

Communications of the Korean Mathematical Society, 2004
Summary: We discuss the \(n\)-fold implicative/fantastic filters in lattice implication algebras, which are extended notions of implicative/fantastic filters. Characterizations of \(n\)-fold implicative/fantas-tic filters are given. Conditions for a filter to be \(n\)-fold implicative are provided.
Seok-Zun Song, Young-Bae Jun
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Notes on redefined fuzzy implicative filters of lattice implication algebras

Information Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun, Jianming Zhan
exaly   +3 more sources

On A-subsets in lattice implication algebras

Journal of Intelligent & Fuzzy Systems, 2018
In this paper, we further study the theory of A-subsets in lattice implication algebras. To begin with, we introduce the propositions of homomorphism image and original image of A-subsets in lattice implication algebras. In addition, the notion of A*-subsets is introduced and some properties of A*-subsets are also investigated in ...
Xiqing Long, Yi Liu 0005, Yang Xu 0001
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Fuzzy implications in lattice effect algebras

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Implicative neutrosophic LI-ideals of lattice implication algebras

Journal of Intelligent & Fuzzy Systems, 2020
 Lattice implication algebra is a new logical algebraic system which is established by combining lattice and implication algebra. As a generalization of intuitionistic fuzzy set, neutrosophic set is introduced which deals with indeterminate membership in addition to degree of membership and degree of non-membership.
Young Bae Jun, Xiao Long Xin 0001
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Material implications in lattice effect algebras

Information Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rajab Ali Borzooei, Anatolij Dvurecenskij, Amir Hossein Sharafi   +2 more
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Sub-algebras of Finite Lattice Implication Algebra

2007
As a kind of logical algebra, lattice implication algebra has been applied in lattice-valued logic. Study in algebraic structure of sub-algebra of lattice implication algebra can help to construct and apply lattice implication algebra to real applications.
Yang Xu 0001, Jun Ma 0002, Jiajun Lai
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Orthomodular lattices as implication algebras

Journal of Philosophical Logic, 1974
Recent progress has been made in the study of implication connectives on orthomodular lattices (see [6] and [7]). Some of this research has been motivated by the delicate question of the appropriate form of the conditional sentence in a quantum logic.
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Fuzzy Lattice Filter in Lattice Implication Algebra

2009 International Conference on New Trends in Information and Service Science, 2009
In this article, the notion of fuzzy lattice filter is introduced, and some useful properties of fuzzy lattice filter are investigated. The relations between fuzzy lattice filter and fuzzy filter of lattice implication algebra are discussed. This paper aims at discussing development in lattice filters and its properties.
Zhou Liyong, Lai Jiajun
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Characterization theorem of lattice implication algebras

Proceedings. 34th International Symposium on Multiple-Valued Logic, 2004
In this paper, we show the characterization theorem of lattice implication algebras. The algebras were presented by Xu (J. Southwest Jiaotong Univ., p.20-27) in 1993. Our theorem means that the class of all lattice implication algebras coincides with the class of all bounded commutative BCK-algebras. Hence lattice implication algebras are categorically
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