The Heyting arrow lattice for qualitative relations in biological systems

✍ Scribed by Alba N. Zaretzky; Carlos A. Leguizamon

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 584 KB
• Volume: 16
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/0895-7177(92)90165-h

✦ Synopsis

Previous developments to study qualitative relations in biological systems were made by m-of lattices, which resulted in pseudoBoolean 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 iu the systems. Accordingly, the lattice built with the results of the Heytiug arrow operation between non-comparable elements of pseudoBoolean 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. We are very grateful to Dr. Tibor Katrin&k for his suggestions and comments concerning this paper. *Member of the National Council of Science and Technology of Argentina.