Title :
Rotation of triangular fuzzy numbers via quaternion
Author :
Moura, Ronildo ; Bergamaschi, Flaulles ; Santiago, Regivan ; Bedregal, Benjamin
Author_Institution :
Dept. de Inf. e Mat. Aplic., Univ. Fed. do Rio Grande do Norte, Natal, Brazil
Abstract :
In this paper we introduced the concept of three-dimensional triangular fuzzy number and their properties are investigated. It is shown that this set has important metrical properties, e.g convexity. The paper also provides a rotation method for such numbers based on quaternion and aggregation operator.
Keywords :
fuzzy set theory; number theory; 3D triangular fuzzy number; aggregation operator; convexity; metrical properties; quaternion; triangular fuzzy numbers; Dispersion; Equations; Measurement; Quaternions; Radio frequency; Vectors;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-2073-0
DOI :
10.1109/FUZZ-IEEE.2014.6891736
