Solving Generalized Equations with Bounded Variables and Multiple Residuated Operators
Open Access
- 7 November 2020
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 8 (11), 1992
- https://doi.org/10.3390/math8111992
Abstract
This paper studies the resolution of sup-inequalities and sup-equations with bounded variables such that the sup-composition is defined by using different residuated operators of a given distributive biresiduated multi-adjoint lattice. Specifically, this study has analytically determined the whole set of solutions of such sup-inequalities and sup-equations. Since the solvability of these equations depends on the character of the independent term, the resolution problem has been split into three parts distinguishing among the bottom element, join-irreducible elements and join-decomposable elements.This publication has 32 references indexed in Scilit:
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