Relating de Morgan triples with Atanassov's intuitionistic de Morgan triples via automorphisms

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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. © 2010 Elsevier Inc. All rights reserved.

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APA

Da Costa, C. G., Bedregal, B. C., & Dória Neto, A. D. (2011). Relating de Morgan triples with Atanassov’s intuitionistic de Morgan triples via automorphisms. International Journal of Approximate Reasoning, 52(4), 473–487. https://doi.org/10.1016/j.ijar.2010.11.004

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