DocumentCode
2219658
Title
Convex (s,t]-fuzzy sets and convex R -fuzzy sets
Author
Peng Jiayin
Author_Institution
Key Lab. of Numerical Simulation of Sichuan Province, Neijiang Normal Univ., Neijiang, China
Volume
2
fYear
2010
fDate
20-22 Aug. 2010
Abstract
Following the Rosedfeld approach in investigating convex fuzzy sets, two new kinds of definitions of convex fuzzy sets are proposed in this paper. First, by the use of the relations between fuzzy points and fuzzy subsets, the definition of a convex (s,t]-fuzzy sets is introduced and their properties are discussed. The acceptable non-trivial concepts obtained in this manner are the convex (∈,∈νq) -fuzzy sets and convex (∈̅,∈̅νq̅)-fuzzy sets. Second, by the use of the implication operators of fuzzy logic, the convex R -fuzzy sets is proposed and the relations between the convex (s,t] -fuzzy sets and convex R -fuzzy sets are discussed.
Keywords
convex programming; fuzzy set theory; Rosedfeld approach; convex R -fuzzy sets; convex s-t-fuzzy sets; fuzzy points; fuzzy subsets; implication operators; Frequency locked loops; Gold; Presses; Econvex (s, t]-fuzzy set; convex (∈̅,∈̅νq̅)-fuzzy set; convex (∈,∈νq) - fuzzy set; convex R -fuzzy set;
fLanguage
English
Publisher
ieee
Conference_Titel
Advanced Computer Theory and Engineering (ICACTE), 2010 3rd International Conference on
Conference_Location
Chengdu
ISSN
2154-7491
Print_ISBN
978-1-4244-6539-2
Type
conf
DOI
10.1109/ICACTE.2010.5579196
Filename
5579196
Link To Document