Method of Additional Structures on the Objects of a Monoidal Kleisli Category as a Background for Information Transformers Theory

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dc.creatorGolubtsov, P. V.
dc.creatorMoskaliuk, S. S.
dc.date2002-11-27
dc.date.accessioned2026-07-07T04:29:36Z
dc.date.available2026-07-07T04:29:36Z
dc.descriptionCategory theory provides a compact method of encoding mathematical structures in a uniform way, thereby enabling the use of general theorems on, for example, equivalence and universal constructions. In this article we develop the method of additional structures on the objects of a monoidal Kleisli category. It is proposed to consider any uniform class of information transformers (ITs) as a family of morphisms of a category that satisfy certain set of axioms. This makes it possible to study in a uniform way different types of ITs, e.g., statistical, multivalued, and fuzzy ITs. Proposed axioms define a category of ITs as a monoidal category that contains a subcategory (of deterministic ITs) with finite products. Besides, it is shown that many categories of ITs can be constructed as Kleisli categories with additional structures.
dc.description59 pages, Latex, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0211067
dc.identifierhttp://arxiv.org/abs/math-ph/0211067
dc.identifierHadronic Journal, V.25, No.2,179-238 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57218
dc.subjectMathematical Physics
dc.subjectMultiagent Systems
dc.subjectCategory Theory
dc.titleMethod of Additional Structures on the Objects of a Monoidal Kleisli Category as a Background for Information Transformers Theory
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