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2008

Exact calculations of extended logical operations on fuzzy truth values

10 years 11 months ago
Exact calculations of extended logical operations on fuzzy truth values
In this paper we propose computationally simple, pointwise formulas for extended t-norms and t-conorms on fuzzy truth values. The complex convolutions of the extended operations are shown to be equivalent to simple pointwise expressions for several special cases. Linear fuzzy truth values are defined and it is shown that the extended Lukasiewicz operations preserve linearity. Since linear fuzzy truth values are common in representing linguistic modifiers, the results simplify fuzzy truth value-based reasoning methods. The results can also be applied immediately to type-2 fuzzy set operations.
Zsolt Gera, József Dombi
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where FSS
Authors Zsolt Gera, József Dombi
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