Title : 
Continuity of Fuzzy Value and Representation of Compatibility Function
         
        
            Author : 
Wu, Hemin ; Li, Jun
         
        
            Author_Institution : 
Coll. of Math. & Informational Technol., Xinjiang Educ. Inst., Urumqi, China
         
        
        
        
        
        
        
            Abstract : 
Fuzzy value is a special type of fuzzy set on the interval, which is a generalization of triangular-type fuzzy set. In this paper, we shall discuss some characteristics of discontinuous points of fuzzy value, and give some properties of continuous fuzzy value. An expression of compatibility function corresponding to continuous fuzzy value and t-operation is presented by using the α-cuts of the fuzzy values.
         
        
            Keywords : 
functions; fuzzy set theory; compatibility function; fuzzy set; fuzzy value continuity; Educational institutions; Extraterrestrial measurements; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Fuzzy set; compatibility function; fuzzy value;
         
        
        
        
            Conference_Titel : 
Intelligent Computation Technology and Automation (ICICTA), 2011 International Conference on
         
        
            Conference_Location : 
Shenzhen, Guangdong
         
        
            Print_ISBN : 
978-1-61284-289-9
         
        
        
            DOI : 
10.1109/ICICTA.2011.105