International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 113

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


How to Download this Article?

You Need to Register Your Email Address Before You Can Download the Article PDF


How to Cite this Article?

Timur Karacay, "Harmonic Analysis in Fuzzy Systems", International Journal of Science and Research (IJSR), Volume 3 Issue 6, June 2014, pp. 1300-1306, https://www.ijsr.net/get_abstract.php?paper_id=2014540

Similar Articles with Keyword 'HARMONIC'

Downloads: 0

Research Paper, Mathematics, India, Volume 11 Issue 5, May 2022

Pages: 1730 - 1737

A Comparative Study between Experimental & Numerical Value of Subharmonic Acoustic Resonances

R. N. Shukla [3] | A. K. Ray

Share this Article

Downloads: 1 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Analysis Study Research Paper, Mathematics, Kenya, Volume 12 Issue 10, October 2023

Pages: 1411 - 1416

Numerical Modeling of Vibratory Motion of Shock Absorber Performance in Automobiles

Abel Kurura Tinega [3] | Omariba Geofrey Ong'era

Share this Article
Top