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Research Paper | Mathematics | Turkey | Volume 3 Issue 6, June 2014
Harmonic Analysis in Fuzzy Systems
Timur Karacay
Abstract: This work introduces methods of harmonic analysis into Fuzzy Systems via the complexification of the system. Let X be a universe; F be a family of fuzzy sets in X. It is shown that X and F generate topological groups G and ; respectively; that are dual to each other. These structures then provide us with powerful mathematical tools of harmonic analysis; enabling us to prove the postulates 0) 0; 0) 1; 1) 1 of boolean logic as well as the introduction of the notions logical dependencies; and the comparisons of propositions.
Keywords: HARMONIC ANALYSIS
Edition: Volume 3 Issue 6, June 2014,
Pages: 1300 - 1306
Similar Articles with Keyword 'HARMONIC'
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Research Paper, Mathematics, India, Volume 11 Issue 5, May 2022
Pages: 1730 - 1737A Comparative Study between Experimental & Numerical Value of Subharmonic Acoustic Resonances
R. N. Shukla [3] | A. K. Ray
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Analysis Study Research Paper, Mathematics, Kenya, Volume 12 Issue 10, October 2023
Pages: 1411 - 1416Numerical Modeling of Vibratory Motion of Shock Absorber Performance in Automobiles
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