Title :
Convexity of fuzzy sets from the viewpoint of fuzzy logic
Author :
Pan, X.D. ; Meng, D. ; Xu, Y.
Author_Institution :
Sch. of Math., Southwest Jiaotong Univ., Chengdu, China
Abstract :
In order to investigate the graded properties of convex fuzzy sets, from the viewpoint of fuzzy logic, in this paper, we introduce the notions of (λ,T)-convex fuzzy set, (λ,T)-strong convex fuzzy set, (λ,T)-strictly convex fuzzy set based on t-norm based fuzzy logic. The relations among these convex fuzzy sets is characterized.
Keywords :
fuzzy logic; fuzzy set theory; convex fuzzy set; strictly convex fuzzy set; strong convex fuzzy set; t-norm based fuzzy logic; Chaos; Fractals; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Semantics; Solitons; Convex fuzzy set; fuzzy logic; implication operation; triangular norm;
Conference_Titel :
Industrial Engineering and Engineering Management (IEEM), 2010 IEEE International Conference on
Conference_Location :
Macao
Print_ISBN :
978-1-4244-8501-7
Electronic_ISBN :
2157-3611
DOI :
10.1109/IEEM.2010.5674248
