Exact calculations of extended logical operations on fuzzy truth values
نویسندگان
چکیده
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 Łukasiewicz 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. © 2007 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 283 شماره
صفحات -
تاریخ انتشار 2008