The connection of hyper lattice implication algebras and related hyper algebras [PDF]
Journal of Hyperstructures, 2016 In this paper, we de ne the concepts of (good) con- gruences and strong congruences on hyper lattice implication alge- bras and use them to construct quotient hyper lattice implication algebras.
Shokoofeh Ghorbani
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INT-SOFT FILTERS IN LATTICE IMPLICATION ALGEBRAS
Bulletin of the Korean Mathematical Society, 2016 Young Bae Jun, Yang Xu, Xiaohong Zhang
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α-Quasi-Lock Semantic Resolution Method Based on Lattice-Valued Logic [PDF]
International Journal of Computational Intelligence Systems, 2014 Based on the general form of α-resolution principle for a lattice-valued logic with truth-values defined in a lattice-valued logical algebra structure - lattice implication algebra, the further extended α-resolution method in this lattice ...
Xiaomei Zhong +3 more
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Determination of 3-Ary -Resolution in Lattice-valued Propositional Logic LP(X) [PDF]
International Journal of Computational Intelligence Systems, 2013 One of key issues for -() ary resolution automated reasoning based on lattice-valued logic with truth-value in a lattice implication algebra is to investigate the -() ary resolution of some generalized literals.
Yi Liu, Hairui Jia, Yang Xu
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Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices
Axioms, 2023 This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang +2 more
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α-Generalized Semantic Resolution Method in Linguistic Truth-valued Propositional Logic P(X) [PDF]
International Journal of Computational Intelligence Systems, 2014 This paper is focused on α-generalized semantic resolution automated reasoning method in linguistic truth-valued lattice-valued propositional logic.
Jiafeng Zhang, Yang Xu, Xingxing He
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Linguistic-Valued Approximate Reasoning With Lattice Ordered Linguistic-Valued Credibility [PDF]
International Journal of Computational Intelligence Systems, 2015 Linguistic terms are often used to represent the truth degree or credibility degree to manage the uncertainty or imprecision as one of popular ways of knowledge representation in the perception-based decision making problem.
Li Zou, Yunxia Zhang, Xin Liu
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α-Resolution Method for Lattice-valued Horn Generalized Clauses in Lattice-valued Propositional Logic Systems [PDF]
International Journal of Computational Intelligence Systems, 2015 In this paper, an α-resolution method for a set of lattice-valued Horn generalized clauses is established in lattice-valued propositional logic system ℒ P(X) based on lattice implication algebra.
Weitao Xu +4 more
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From Intuitionism to Brouwer's Modal Logic
Bulletin of the Section of Logic, 2020 We try to translate the intuitionistic propositional logic INT into Brouwer's modal logic KTB. Our translation is motivated by intuitions behind Brouwer's axiom p →☐◊p The main idea is to interpret intuitionistic implication as modal strict implication ...
Zofia Kostrzycka
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α-Generalized lock resolution method in linguistic truth-valued lattice-valued logic [PDF]
International Journal of Computational Intelligence Systems, 2012 This paper focuses on effcient non-clausal resolution-based automated reasoning methods and algorithms for a lattice-ordered linguistic truth-valued logic, which corresponds to extensions of α-lock resolution.
Xingxing He +3 more
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