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Penta-Valued Fuzzy Set

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1 Author(s)
Vasile Patrascu ; Department of Informatics Technology, Tarom Company, Bucurestilor Road, 224F, Bucharest-Otopeni, Romania. phone: +40 074 1111055; email:

This paper presents an extension of fuzzy set based on Lukasiewicz penta-valued logic. This new type of fuzzy set will be called penta-valued fuzzy set and will be defined by five scalar functions: the strong membership, the weak membership, the uncertainty, the weak non-membership and the strong non-membership. Also, the penta-valued fuzzy set represents an extension for the intuitionistic fuzzy sets and for the four-valued fuzzy set.

Published in:

2007 IEEE International Fuzzy Systems Conference

Date of Conference:

23-26 July 2007