## You are here

Homefuzzy logics of living systems

## Primary tabs

# fuzzy logics of living systems

# 0.1 Fuzzy logics of living organisms.

Living organisms or biosystems can be represented as super-complex systems 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 are $LM_{n}$ many-valued logics for both genetic and neural networks (refs. [3, 6]).

[Entry under construction]

# 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: CERN Preprint No. EXT-2004-072 , and html Abstract. - 5
Baianu, I. C.: 1987b, Molecular Models of Genetic and Organismic Structures, in
*Proceed. Relational Biology Symp.*Argentina; CERN 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) 338ÃƒÃ‚Â-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.

## Mathematics Subject Classification

03B15*no label found*03B10

*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections