Title :
On a consistent fuzzy operator system
Author_Institution :
Dept. of Comput. Algorithms & Artificial Intell., Univ. of Szeged, Szeged, Hungary
Abstract :
We give a new representation theorem of the negation based on the generator function of the strict operator. We study a certain class of strict monotone operators which build DeMorgan class with infinite negations. We show that the necessary and sufficient condition for this operator class is fc(x)fd(x) = 1; where fc(x) and fd(x) are the generator function of the conjunctive and disjunctive operators.
Keywords :
Algebra; Artificial intelligence; Books; Boundary conditions; Buildings; Equations; Fuzzy systems; Logic; Sufficient conditions; DeMorgan class; Pan operator; aggregative operators; conjunctive operators; disjunctive operators; negations; pliant systems; t-conorms; t-norms; uninorms;
Conference_Titel :
Intelligent Engineering Systems (INES), 2010 14th International Conference on
Conference_Location :
Las Palmas, Spain
Print_ISBN :
978-1-4244-7650-3
DOI :
10.1109/INES.2010.5483860
