Results 141 to 150 of about 804,554 (168)

Duality in Lattice Implication Algebra

2011
According 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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2-Dimension Linguistic Lattice Implication Algebra

2015 10th International Conference on Intelligent Systems and Knowledge Engineering (ISKE), 2015
This paper concerns the representation of the linguistic evaluation set, which is often a total order set for its simple structure and operations. However, in some uncertain situations, the linguistic evaluation set with total order set is not enough for providing the assessments of the decision maker because all the linguistic labels are comparable ...
Hua Zhu 0001, Jianbin Zhao, Wenjing Chang, Yang Xu 0001   +3 more
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Lack of associative filters in lattice implication algebras

Soft Computing, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masoud Haveshki, Mahboobeh Mohamadhasani
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On Extension of LI-Ideal in Lattice Implication Algebra

2007
Lattice implication algebra is a logical algebraic system which is constructed by combining lattice with implication algebra. In this paper, we focus on the extension of LI-ideal of lattice implication algebras, i.e., weak LI-ideals (briefly, WLI-ideals) and maximal weak LI-ideals.
Jiajun Lai, Xu Yang, Jun Ma
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THE RELATIONS BETWEEN LATTICE IMPLICATION ALGEBRAS AND BROUWERIAN LATTICE

Applied Computational Intelligence, 2004
Non-classical logic has become a considerable formal tool for computer science and artificial intelligence to deal with fuzzy information and uncertain information. Many-valued logic, a great extension and development of classical logic [l], has always been a crucial direction in non-classical logic.
XIAODONG PAN, YANG XU, JUAN LIU
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The Equivalent Definitions of Lattice Implication Algebra

2008 International Seminar on Future Information Technology and Management Engineering, 2008
This paper proved that when we have a binary operation rightarrow and a nullary operations rarr on a non-empty set L, if these operations satisfy the four axioms of lattice implication algebra, then (L, rarr, 0) will be a lattice implication algebra.
Li-Xia Song, Kun-Lun Zhang
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On generalized derivations of lattice implication algebras

2019
Summary: In this paper, we introduce the notion of generalized derivation of lattice implication algebra and investigated some related properties. Also, we prove that if \(D\) is a generalized derivation associated with a derivationd of \(L\), then \(D(x\to y)=x\to D(y)\) for all \(x,y\in L\)
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Lattices of Algebraic Subsets and Implicational Classes

2016
In this section we consider one of the central constructions producing joinsemidistributive lattices, which turned out to be crucial in connecting many aspects of these lattices. The goal of this section is to present Sp(PowX), the lattice of algebraic subsets of the powerset lattice of some set X. We will need several definitions and lemmas on the way.
K. Adaricheva, J. B. Nation
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( ∈ , ∈ vq)-Fuzzy Filters of Lattice Implication Algebras

2011
By using the concept of belongingness and quasi-coincidence of a fuzzy point with a fuzzy set, the notions of ( ∈ , ∈ vq)-fuzzy filters, which is generalization of ordinary fuzzy filter in lattice implication algebras, is defined, and their related properties and equivalent description are given.
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ON DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

2012
HUA ZHU, JIANBIN ZHAO, WEITAO XU, YANG XU   +3 more
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