Dialectical Logic K-Model: Some Applications by Fuzzy-Probability Theory, Cause -Effect Analysis, Chaos Dynamics and Optimization Theory

Authors

  • Yaozhi Jiang Shijiazhuang High-Tech District, Hebei

DOI:

https://doi.org/10.14738/tmlai.66.5862

Keywords:

Dialectical logic K-model, Fuzzy-probability, Cause-effect analysis, Chaotic condition, Optimization model

Abstract

The paper is a further successor about some problems in dialectical logic K-model which maybe a new useful tool in Artificial Intelligence. The first problem is for the case that true value function is produced by the method of fuzzy-probability theory, this discussion is based
on a famous work by Zadeh L. A. (Zadeh L. A., 1965); the second problem is a result about cause-effect analysis, a proof is given for the theorem “a regular cause-effect graph must be a tree-graph”, therefor any mathematical formula can be expressed into a cause-effect tree-graph; the third problem is research for chaos dynamics of contradiction function onto magnitude-frequency characteristics; the last problem is discussion about optimization in dialectical logic K-model and a mathematical model about optimization is built up.

References

(1) Lijuan Zhang.,(2008) Chaos in Partial Differential Equations and Integral Systems; Master’s degree thesis of Shandong university (in Chinese), School of Mathematics, Shandong University;

(2) Yaozhi Jiang.,(2017)Dialectical Logic K-Model: A mathematical Model for Machine; Journal of Mathematics Research;Vol. 9, No. 6;2017(https://doi.org/10.5539/jmr.v9n6p82);

(3) Yaozhi Jiang.,(2018)[1] Dialectical logic K-Model: the Discrete Time Dynamical Sampling System, Multidimensional Logic Variable and Associate Database (ADB); Journal of Mathematics Research; Vol.

, No. 2; 2018(https://doi.org/10.5539/jmr.v10n2p88);

(4) Yaozhi Jiang.,(2018)[2] Dialectical Logic K-Model: On Multidimensional Discrete Dynamical Sampling System and Further Properties of Kirchhoff Matrices; Journal of Mathematics Research; Vol.10, No. 3; 2018(https://doi.org/10.5539/jmr.v10n3p20);

(5) Zadeh L.A.,(1965)Fuzzy Sets. Inf. and Control. 1965(8): 338~353;

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Published

2019-01-05

How to Cite

Jiang, Y. (2019). Dialectical Logic K-Model: Some Applications by Fuzzy-Probability Theory, Cause -Effect Analysis, Chaos Dynamics and Optimization Theory. Transactions on Engineering and Computing Sciences, 6(6), 77. https://doi.org/10.14738/tmlai.66.5862