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Complete Semigroups of Binary Relations
Journal of Mathematical Sciences, 2003This paper considers the subgroups of the semigroup of binary relations \(B_X\) consisting of binary relations \(R\) whose sections \(S_x=\{y\mid(x,y)\in R\}\) are always members of a complete semilattice \(D\) of subsets of \(X\) under union. These semigroups can also be studied in terms of Boolean matrices and have applications to graph theory ...
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Transformation of binary relations
Proceedings of the Sixth International Conference on Computer Supported Cooperative Work in Design (IEEE Cat. No.01EX472), 2002In the object-oriented paradigm, as complexity rises, the cost of developing and maintaining software systems grows exponentially. This complexity emerges from the continuous evolution of software systems to cope with changing requirements. This crucial problem can be dealt with by performing an active transformation of the elements (i.e.
J. Said, E. Steegmans
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2002
This chapter is devoted to binary fuzzy relations. For quite a variety of problems, binary relations turn out to be a simple but very powerful tool. Recall that a binary L-relation between (nonempty) sets X and Y is any mapping R: X × Y → L (L is the support set of the complete residuated lattice L; for x ∈ X and y ∈ Y, R(x,y) ∈ L is the truth degree ...
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This chapter is devoted to binary fuzzy relations. For quite a variety of problems, binary relations turn out to be a simple but very powerful tool. Recall that a binary L-relation between (nonempty) sets X and Y is any mapping R: X × Y → L (L is the support set of the complete residuated lattice L; for x ∈ X and y ∈ Y, R(x,y) ∈ L is the truth degree ...
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Solute atom mediated Hall-Petch relations for magnesium binary alloys
Scripta Materialia, 2022Y. Wen +6 more
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2020
In the first sections of this chapter, we provide well-known fundamentals of linear spaces and topological spaces, binary relations and cones. We add some new results and details that are necessary for the understanding of the following chapters and for the proofs therein. Furthermore, our notation is introduced.
Christiane Tammer, Petra Weidner
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In the first sections of this chapter, we provide well-known fundamentals of linear spaces and topological spaces, binary relations and cones. We add some new results and details that are necessary for the understanding of the following chapters and for the proofs therein. Furthermore, our notation is introduced.
Christiane Tammer, Petra Weidner
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Solving Quantifier-Free First-Order Constraints Over Finite Sets and Binary Relations
Journal of automated reasoning, 2019M. Cristiá, G. Rossi
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A unified information measure for general binary relations
Knowledge-Based Systems, 2017Changzhong Wang +4 more
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Rough approximations based on soft binary relations and knowledge bases
Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2016Zhaowen Li, Ningxin Xie, Ninghua Gao
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A Decision Procedure for Sets, Binary Relations and Partial Functions
International Conference on Computer Aided Verification, 2016M. Cristiá, G. Rossi
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