Title : 
Consistency Degrees of Theories in N-valued Pukasiewicz Logical System
         
        
            Author : 
Jun, Li ; Yan, Zhou
         
        
            Author_Institution : 
Sch. of Sci., Lanzhou Univ. of Technol., Lanzhou, China
         
        
        
        
        
        
        
            Abstract : 
A new index reflecting the extent to which a general theory is consistent is given in n-valued Łukasiewicz logical system based on Hausdorff metric and the truth degrees of formulas. Sufficient and necessary conditions for theories being consistent or inconsistent are given respectively.
         
        
            Keywords : 
fuzzy logic; fuzzy set theory; Hausdorff metric; n-valued Łukasiewicz logical system; Cost accounting; Fuzzy logic; Fuzzy sets; Indexes; Lattices; Measurement; Consistency degree; Deviation; Truth degree;
         
        
        
        
            Conference_Titel : 
Artificial Intelligence and Computational Intelligence (AICI), 2010 International Conference on
         
        
            Conference_Location : 
Sanya
         
        
            Print_ISBN : 
978-1-4244-8432-4
         
        
        
            DOI : 
10.1109/AICI.2010.227