Title :
Operations on type-2 fuzzy sets based on the set of pseudo-highest intersection points of convex fuzzy sets
Author :
Tahayori, Hooman ; Sadeghian, Alireza ; Visconti, Andrea
Author_Institution :
Dept. of Comput. Sci., Ryerson Univ., Toronto, ON, Canada
Abstract :
One of the main burdens of using general type-2 fuzzy sets relates to the cost of their basic operations. In this paper we will discuss how the set of pseudo highest intersection points of two convex fuzzy sets can be used to provide algorithms for performing union and intersection operations on convex type-2 fuzzy sets with min and product t-norm and max t-conorm.
Keywords :
fuzzy set theory; 2 fuzzy set operation; convex fuzzy sets; intersection operations; max t-conorm; product t-norm; pseudo highest intersection points; Computational complexity; Computer science; Costs; Fuzzy logic; Fuzzy sets; Set theory; Uncertainty;
Conference_Titel :
Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American
Conference_Location :
Toronto, ON
Print_ISBN :
978-1-4244-7859-0
Electronic_ISBN :
978-1-4244-7857-6
DOI :
10.1109/NAFIPS.2010.5548213
