We give a [0, l]-functional representation of the finitely generated free algebras in the variety generated by Chain's MV-algebra SÏ2, and in the variety generated by the left continuous t-norm arising as Jenei's rotation JII of the product t-norm. We generalise the construction of JII from SÏ2 by building a family Tn of involutive t-norm algebras such that the MV-algebras in the variety generated by Tn form the variety generated by SÏn and LN+1.
Involutive t-norms from non-simple MV-chains / S. Aguzzoli, A.R. Ferraioli, B. Gerla - In: Fuzzy Systems (FUZZ-IEEE), 2017 IEEE International Conference on[s.l] : IEEE, 2017. - ISBN 9781509060344. - pp. 1-6 (( convegno Fuzzy Systems tenutosi a Napoli nel 2017.
Involutive t-norms from non-simple MV-chains
S. Aguzzoli;
2017
Abstract
We give a [0, l]-functional representation of the finitely generated free algebras in the variety generated by Chain's MV-algebra SÏ2, and in the variety generated by the left continuous t-norm arising as Jenei's rotation JII of the product t-norm. We generalise the construction of JII from SÏ2 by building a family Tn of involutive t-norm algebras such that the MV-algebras in the variety generated by Tn form the variety generated by SÏn and LN+1.
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