Record number :
1213991
Title of article :
Solutions to the functional equation image for a continuous D-operation
Author/Authors :
Aifang Xie، نويسنده , , Feng Qin، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Pages :
11
From page :
2487
To page :
2497
Abstract :
We present a study, in a fuzzy logic framework, of the fuzzy implication operations involved in the iterative Boolean-like law image. And then, a full characterization is given of this functional equation based on a Dishkant operation (or D-operation for short), where the D-operation is generated by a continuous t-norm T, a continuous t-conorm S, and a strong negation N. Together with the work by Shi et al. (Y. Shi, D. Ruan, E.E. Kerre, On the characterization of fuzzy implications satisfying image, Information Sciences, 177 (2007) 2954–2970), this work provides a complete characterization of the equation for the usual implication operations currently known.
Keywords :
Strong negations , D-operations , t-norms , Iterative Boolean-like laws , D-implications , T-conorms
Journal title :
Information Sciences
Serial Year :
2010
Link To Document :
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