A New Fuzzy Linear Regression Model for a Special Case of Interval Type-2 Fuzzy Sets

Authors

Ashraf Darwish, Computer Science Department, Faculty of Science, Helwan University, Cairo, EgyptFollow
Olga Poleshchuk, Department of Electronics and Computers, Moscow State Forest University, Moscow, RussiaFollow
Evgeny Komarov, Department of Electronics and Computers, Moscow State Forest University, Moscow, RussiaFollow

Author Country (or Countries)

Russia

Abstract

This paper presents a regression model for a special case of interval type-2 fuzzy sets based on the least squares estimation technique. Unknown coefficients are assumed to be triangular fuzzy numbers. The basic idea is to determine aggregation intervals for triangular fuzzy numbers membership functions of whose are low membership function and upper membership function of interval type-2 fuzzy set and to determine an affinity measure for two interval type-2 fuzzy sets based on these intervals.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100340

Recommended Citation

Darwish, Ashraf; Poleshchuk, Olga; and Komarov, Evgeny (2016) "A New Fuzzy Linear Regression Model for a Special Case of Interval Type-2 Fuzzy Sets," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 40.
DOI: http://dx.doi.org/10.18576/amis/100340
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/40