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Abstract:

Previous developments to study qualitative relations in biological systems were made by means of lattices, which resulted in pseudo-Boolean algebras. The Heyting arrow operation being obtained is considered particularly useful to study qualitative relations between non-comparable elements of the lattices. This operation involves enhancements of energy in the systems. Accordingly, the lattice built with the results of the Heyting arrow operation between non-comparable elements of pseudo-Boolean algebras is defined. The first properties of this lattice are found, and they are connected with the sets of closed and dense elements of the original algebra. © 1992.

Registro:

Documento: Artículo
Título:The Heyting arrow lattice for qualitative relations in biological systems
Autor:Zaretzky, A.N.; Leguizamon, C.A.
Filiación:Biomatemática, Departamento de Matemática Facultad de Ciencias Exactas, Naturales Universidad de Buenos Aires, Buenos Aires, Argentina
Comisión Nacional de Energía Atómica Av. del Libertador 8250, Buenos Aires, Argentina
Año:1992
Volumen:16
Número:6-7
Página de inicio:237
Página de fin:244
DOI: http://dx.doi.org/10.1016/0895-7177(92)90165-H
Título revista:Mathematical and Computer Modelling
Título revista abreviado:Math. Comput. Model.
ISSN:08957177
CODEN:MCMOE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08957177_v16_n6-7_p237_Zaretzky

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Citas:

---------- APA ----------
Zaretzky, A.N. & Leguizamon, C.A. (1992) . The Heyting arrow lattice for qualitative relations in biological systems. Mathematical and Computer Modelling, 16(6-7), 237-244.
http://dx.doi.org/10.1016/0895-7177(92)90165-H
---------- CHICAGO ----------
Zaretzky, A.N., Leguizamon, C.A. "The Heyting arrow lattice for qualitative relations in biological systems" . Mathematical and Computer Modelling 16, no. 6-7 (1992) : 237-244.
http://dx.doi.org/10.1016/0895-7177(92)90165-H
---------- MLA ----------
Zaretzky, A.N., Leguizamon, C.A. "The Heyting arrow lattice for qualitative relations in biological systems" . Mathematical and Computer Modelling, vol. 16, no. 6-7, 1992, pp. 237-244.
http://dx.doi.org/10.1016/0895-7177(92)90165-H
---------- VANCOUVER ----------
Zaretzky, A.N., Leguizamon, C.A. The Heyting arrow lattice for qualitative relations in biological systems. Math. Comput. Model. 1992;16(6-7):237-244.
http://dx.doi.org/10.1016/0895-7177(92)90165-H