PlanetPhysics/Fuzzy Logics of Living Organisms
Fuzzy logics of living organisms
Living organisms or biosystems can be represented as super-complex [[../SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence/|systems]] with [[../NewtonianMechanics/|dynamics]] that is not reducible to that of their components, such as [[../Molecule/|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 [[../Bijective/|type]] of `fuzziness' (refs.[1]) that unlike Zadeh's fuzzy sets characteristic ([2]) is neither random nor always following a (symmetric) [[../LebesgueMeasure/|Gaussian distribution]]. It has been proposed that the operational logics underlying super-complex [[../GeneralDynamicSystems/|systems dynamics]] are [[../AlgebraicCategoryOfLMnLogicAlgebras/| many-valued logics]] for both genetic and neural networks (refs. [3]).
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[4] [5] [6] [7] [8] [9] [10] [11]
References
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<ref>tag; no text was provided for refs namedICB77,ICB2k4 - ↑ Georgescu, G. 2006, N-valued Logics and \L ukasiewicz-Moisil Algebras, Axiomathes , 16 (1-2): 123-136.
- ↑ Baianu, I.C. and M. Marinescu: 1968, Organismic Supercategories: Towards a Unitary Theory of Systems. Bulletin of Mathematical Biophysics 30 , 148-159.
- ↑ Baianu, I.C.: 1977, A Logical Model of Genetic Activities in \L ukasiewicz Algebras: The Non-linear Theory. Bulletin of Mathematical Biology , 39 : 249-258.
- ↑ 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: CERN Preprint No. EXT-2004-072 , and html Abstract.
- ↑ Baianu, I. C.: 1987b, Molecular Models of Genetic and Organismic Structures, in Proceed. Relational Biology Symp. Argentina; CERN Preprint No.EXT-2004-067 .
- ↑ Baianu, I.C.: 2004. \L{}ukasiewicz-Topos Models of Neural Networks, Cell Genome and Interactome Nonlinear Dynamic Models (2004). Eprint: w. Cogprints at Sussex Univ.
- ↑ Zadeh, L.A., Fuzzy Sets, Information and Control , 8 (1965) 338\~A\^A-353.
- ↑ 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.