Results 1 to 10 of about 292 (132)

IFI-ideals of lattice implication algebras [PDF]

open access: yesInternational 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

Vague Congruences and Quotient Lattice Implication Algebras [PDF]

open access: yesThe 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   +3 more sources

Fantastic filters of lattice implication algebras [PDF]

open access: yesInternational 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

Filters and structure of lattice implication algebra

open access: yesChinese Science Bulletin, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Jun, Xu, Yang
exaly   +3 more sources

Neutrosophic LI-ideals in lattice implication algebras [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
The notion of neutrosophic set theory is applied to lattice implication algebras, and the concept of neutrosophic LI-ideals and neutrosophic lattice ideals in a lattice implication algebra are introduced.
Rajab Ali Borzooei   +2 more
doaj   +1 more source

The connection of hyper lattice implication algebras and related hyper algebras [PDF]

open access: yesJournal 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
doaj   +1 more source

α-Quasi-Lock Semantic Resolution Method Based on Lattice-Valued Logic [PDF]

open access: yesInternational 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
doaj   +1 more source

Determination of 3-Ary -Resolution in Lattice-valued Propositional Logic LP(X) [PDF]

open access: yesInternational 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
doaj   +1 more source

Roughness of Filters in Lattice Implication Algebras [PDF]

open access: yesBulletin of the Polish Academy of Sciences Mathematics, 2004
Summary: As a generalization of filters in lattice implication algebras, the notion of rough filters in lattice implication algebras is introduced, and some of their properties are considered.
Jun, Young Bae, Xu, Yang
openaire   +1 more source

Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices

open access: yesAxioms, 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
doaj   +1 more source

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