Title of article
Relating De Morgan triples with Atanassov’s intuitionistic De Morgan triples via automorphisms Original Research Article
Author/Authors
Claudilene Gomes da Costa، نويسنده , , Benjamin Callejas Bedregal، نويسنده , , Adri?o Duarte D?ria Neto، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
15
From page
473
To page
487
Abstract
In this paper the relation between De Morgan triples on the unit interval and Atanassov’s intuitionistic De Morgan triples is presented, showing how to obtain, in a canonical way, Atanassov’s intuitionistic De Morgan triples from De Morgan triples. Moreover, we also show that the automorphisms on the unit interval and on L∗ (the intuitionistic value lattice) are in one-to-one correspondence and how automorphisms on L∗ act on Atanassov’s intuitionistic De Morgan triples. It is also proved that the action of automorphisms and the canonical construction of De Morgan triples on L∗ commutes.
Keywords
Atanassov’s intuitionistic fuzzy sets , De Morgan triples , Automorphism , Atanassov’s operators
Journal title
International Journal of Approximate Reasoning
Serial Year
2011
Journal title
International Journal of Approximate Reasoning
Record number
1182970
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