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Equationally definable implication algebras for orthomodular lattices
The fact that it is possible to define three different material conditionals in orthomodular lattices suggests that there exist three different orthomodular logics whose conditionals are material conditionals and whose models are orthomodular lattices. The purpose of this paper is to provide equationally definable implication algebras for each of these
G. N. Georgacarakos
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Soft Lattice Implication Algebras
2011 International Conference on Internet Computing and Information Services, 2011Applying soft sets to lattice implication algebras, the concepts of soft lattice implication algebra and soft lattice implication sub algebra are introduced. The intersection, union and "AND" operations of soft lattice implication algebra and soft lattice implication sub algebra are established.
Yi Liu, Ya Qin, Xiaoyan Qin, Yang Xu
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Fuzzy Lattice Filter in Lattice Implication Algebra
2009 International Conference on New Trends in Information and Service Science, 2009In 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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Implicative neutrosophic LI-ideals of lattice implication algebras
Journal of Intelligent & Fuzzy Systems, 2020Lattice 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.
Jun, Young Bae, Xin, Xiao Long
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Fuzzyn-fold positive implicative filters in lattice implication algebras
Journal of Applied Mathematics and Computing, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun, Young Bae, Song, Seok Zun
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Sub-algebras of Finite Lattice Implication Algebra
2007As 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, Jun Ma, Jiajun Lai
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Duality in Lattice Implication Algebra
2011According to the general form of principle of duality in the sense of class [1], this paper tries to study the dual operators of operators in lattice implication algebra [2], especially the dual operator of implication operator and gives the expression of principle of duality in lattice implication algebra.
Li Zhao, Yang Xu
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Fuzzy implications in lattice effect algebras
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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