fuzzy logics of living systems
0.1 Fuzzy logics of living organisms.
Living organisms or biosystems can be represented as super-complex systems^{} (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 (symmetric^{}) Gaussian distribution. It has been proposed that the operational logics underlying super-complex systems dynamics (http://planetmath.org/FundamentalDiagramsInCategoricalTheoryOfLevels) are $L{M}_{n}$ 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 Algebras^{}, Axiomathes, 16 (1-2): 123-136.
- 2 Baianu, I.C. and M. Marinescu: 1968, Organismic Supercategories^{}: 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 Structures^{}, 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) 338ÃÆÃâÃÂ-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 |