DocumentCode :
1714620
Title :
On a new theory of fuzzy sets with just one self-contradiction
Author :
Trillas, E. ; Renedo, E. ; Guadarrama, S.
Author_Institution :
Dep. Inteligencia Artificial, Univ. Politecnica de Madrid, Spain
Volume :
2
fYear :
2001
Firstpage :
658
Abstract :
To avoid self-contradictions in fuzzy set theory, it is needed to consider only fuzzy sets that are not self-contradictory and whose complements are also not self-contradictory. This paper deals with a subset Fnc(E) in [0,1]E, where the above conditions are satisfied. A particular fuzzy set theory is defined in Fnc(E) with adequate logical connectives. Finally, which classical properties hold in the new theory is studied.
Keywords :
fuzzy set theory; fuzzy set theory; logical connectives; self-contradictions; Fuzzy set theory; Fuzzy sets; Lattices;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Print_ISBN :
0-7803-7293-X
Type :
conf
DOI :
10.1109/FUZZ.2001.1009040
Filename :
1009040
Link To Document :
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