(2006-1007) Some types of derivations in bounded commutative residuated lattices

Document Type: Original Article

Authors

1 Department of Mathematics and Computer Science, University of Dschang, Cameroon

2 Departement of Mathematics Higher Teachers' Training College University of maroua Cameroun

3 Computer Science Department, HTTTC Kumba University of Buea, Cameroon

Abstract

In this paper, the notion of mutiplicative derivation, pseudo implicative derivation and implicative derivation on a bounded commutative residuated lattice are presented with some useful examples. We generalized these notions of derivation by introducing (f, g)-multiplicative derivation, (f, g)-pseudo implicative derivation and (f, g)-implicative derivation, and discussed some related properties; the conditions for (f, g)-multiplicative derivation, (f, g)-pseudo implicative derivation and (f, g)-implicative derivation to be monotone are provided. The set of fixed points is defined by using the notion of (f, g)-multiplicative derivation of bounded commutative residuated lattices. We also analyzed the link between different types of derivation.

Keywords

Journal of Algebraic Hyperstructures and Logical Algebras

Articles in Press, Accepted Manuscript
Available Online from 07 September 2020

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