Title :
Defuzzification Functionals of Ordered Fuzzy Numbers
Author :
Kosinski, Witold ; Prokopowicz, Piotr ; Rosa, Alberto
Author_Institution :
Fac. of Comput. Sci., Polish-Japanese Inst. of Inf. Technol., Warsaw, Poland
Abstract :
Defuzzification functionals, which play the main role when dealing with fuzzy controllers and fuzzy inference systems, for convex as well for ordered fuzzy numbers, are discussed. Three characteristic conditions for them are formulated. It is shown that most of the known defuzzification functionals satisfy them. Motivations for introducing the extended class of convex fuzzy numbers are presented, together with operations on them.
Keywords :
fuzzy control; fuzzy reasoning; fuzzy set theory; number theory; CFN; OFN; convex fuzzy numbers; defuzzification functionals; fuzzy controllers; fuzzy inference systems; ordered fuzzy numbers; Aerospace electronics; Decision making; Equations; Fuzzy logic; Fuzzy sets; Market research; Mathematical model; Convex fuzzy numbers (CFNs); defuzzification functionals; homogeneous functions; ordered fuzzy numbers (OFNs);
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2013.2243456
