Weighted fuzzy transform and its application for approximation of discrete functions by continuous functions

Article type: Research Article

Authors: Rafiezadeh, Rafie | Abazari, Reza

Affiliations: Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

Note: [] Corresponding author. Reza Abazari, Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran. E-mails: abazari-r@uma.ac.ir; abazari.r@gmail.com

Abstract: Fuzzy transform is one of the modern theoretical tools in the area of fuzzy approximation and fuzzy modeling. In this paper we define direct and inverse weighted fuzzy transform for discrete functions. As one of many possible applications we use this technique to approximate a discrete function by a continuous function.

Keywords: Approximate reasoning, discrete function, fuzzy transform, weighted fuzzy transform

DOI: 10.3233/IFS-130914

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 5, pp. 2437-2444, 2014