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Ovchinnikov's automorphisms revisited.

Enric Trillas;  Adolfo Rodríguez de Soto;  Susana Cubillo — 1994

Mathware and Soft Computing

In [6] an approach to the representation of synonyms and antonyms via the automorphisms of the De Morgan Algebra [0,1] was suggested. In [3], Ovchinnikov established a representation theorem for automorphisms of the function's complete and completely distributive lattice [0,1] with the pointwise extension of Min and Max operations in [0,1]. Ovchinnikov results are now inmediately generalized by using a positive t-norm T and its dual eta-dual t-conorm T*. These results are applied to study the automorphism...

Fuzzy systems and neural networks XML schemas for Soft Computing.

Adolfo Rodríguez de Soto;  Conrado Andreu Capdevila;  E. C. Fernández — 2003

Mathware and Soft Computing

This article presents an XML[2] based language for the specification of objects in the Soft Computing area. The design promotes reuse and takes a compositional approach in which more complex constructs are built from simpler ones; it is also independent of implementation details as the definition of the language only states the expected behaviour of every possible implementation. Here the basic structures for the specification of concepts in the Fuzzy Logic area are described and a simple construct...

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