Title :
On complex fuzzy sets
Author :
Ramot, Daniel ; Friedman, Menahem ; Langholz, Gideon ; Milo, Ron ; Kandel, Abraham
Author_Institution :
Dept. of Electr. Eng., Tel Aviv Univ., Israel
fDate :
6/23/1905 12:00:00 AM
Abstract :
The innovative concept of complex fuzzy sets is introduced. The novelty of the complex fuzzy set lies in the range of values its membership function may attain. In contrast to a traditional fuzzy membership function, this range is not limited to [0,1] but extended to the unit circle in the complex plane. Thus, the complex fuzzy set provides a mathematical framework for describing membership in a set in terms of a complex number. A study of this original concept is presented, including examples of possible applications, which demonstrate the new theory
Keywords :
fuzzy set theory; complex fuzzy sets; complex number; membership function range; Computer science; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Multivalued logic; Physics; Set theory;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Conference_Location :
Melbourne, Vic.
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1008861
