fuzzy logics of living systems


0.1 Fuzzy logics of living organisms.

Living organisms or biosystems can be represented as super-complex systemsPlanetmathPlanetmathPlanetmathPlanetmath (http://planetmath.org/ComplexSystemsBiology) with dynamics that is not reducible to that of their components, such as molecules and atoms. It is an empirically accepted fact that living organisms exhibit a wide degree of ‘biological variability’: genetic/epigenetic and also phenotypic/metabolic within the same species; their behavior and dynamics thus exhibit a type of ‘fuzziness’ (refs.[2, 3]) that unlike Zadeh’s fuzzy sets characteristic ([7, 8]) is neither random nor always following a (symmetricPlanetmathPlanetmath) Gaussian distribution. It has been proposed that the operational logics underlying super-complex systems dynamics (http://planetmath.org/FundamentalDiagramsInCategoricalTheoryOfLevels) are L⁢Mn many-valued logics (http://planetmath.org/AlgebraicCategoryOfLMnLogicAlgebras) for both genetic and neural networks (refs. [3, 6]).

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References

  • 1 Georgescu, G. 2006, N-valued Logics and Łukasiewicz-Moisil AlgebrasPlanetmathPlanetmath, Axiomathes, 16 (1-2): 123-136.
  • 2 Baianu, I.C. and M. Marinescu: 1968, Organismic SupercategoriesPlanetmathPlanetmathPlanetmathPlanetmath: Towards a Unitary Theory of Systems. Bulletin of Mathematical Biophysics 30, 148-159.
  • 3 Baianu, I.C.: 1977, A Logical Model of Genetic Activities in Łukasiewicz Algebras: The Non-linear Theory. Bulletin of Mathematical Biology, 39: 249-258.
  • 4 Baianu, I. C.: 1986–1987a, Computer Models and Automata Theory in Biology and Medicine., in M. Witten (ed.), Mathematical Models in Medicine, vol. 7., Ch.11 Pergamon Press, New York, 1513 -1577; URLs: http://doe.cern.ch//archive/electronic/other/ext/ext-2004-072.pdfCERN Preprint No. EXT-2004-072 , and http://en.scientificcommons.org/1857371html Abstract.
  • 5 Baianu, I. C.: 1987b, Molecular Models of Genetic and Organismic StructuresMathworldPlanetmath, in Proceed. Relational Biology Symp. Argentina; http://doc.cern.ch//archive/electronic/other/ext/ext-2004-067.pdfCERN Preprint No.EXT-2004-067 .
  • 6 Baianu, I.C.: 2004. Łukasiewicz-Topos Models of Neural Networks, Cell Genome and Interactome Nonlinear Dynamic Models (2004). Eprint: w. Cogprints at Sussex Univ.
  • 7 Zadeh, L.A., Fuzzy Sets, Information and Control, 8 (1965) 338í-353.
  • 8 Zadeh L. A., The concept of a linguistic variable and its application to approximate reasoning I, II, III, Information Sciences, vol. 8, 9(1975), pp. 199-275, 301-357, 43-80.
Title fuzzy logics of living systems
Canonical name FuzzyLogicsOfLivingSystems
Date of creation 2013-03-22 18:23:58
Last modified on 2013-03-22 18:23:58
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 17
Author bci1 (20947)
Entry type Feature
Classification msc 03B15
Classification msc 03B10
Synonym biological variability
Synonym logics of variable supercomplex systems
Related topic FuzzyLogic2
Defines operational logic of super-complex systems