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On complex fuzzy sets

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5 Author(s)
Ramot, D. ; Dept. of Electr. Eng., Tel Aviv Univ., Israel ; Friedman, M. ; Langholz, G. ; Milo, R.
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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

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Fuzzy Systems, 2001. The 10th IEEE International Conference on  (Volume:3 )

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