Elenco Pubblicazioni - Publications (1524)
Benci V., Cococcioni M., and Fiaschi L. Non-standard analysis revisited: an easy axiomatic presentation oriented towards numerical applications. Applied Mathematics and Computer Science, 2021.
Written by LORENZO FIASCHI
ABSTRACT Alpha-Theory has been introduced in 1995 to provide a simplified version of Robinson’s Non-Standard Analysis which overcomes the technicalities of symbolic logic. The theory has been improved during the years, and recently it…
Cococcioni M., Fiaschi L., and Lambertini L. Computing optimal decision strategies using the infinity computer: the case of non-Archimedean zero-sum games. In Numerical Infinities and Infinitesimals in Optimization. Springer, 2021
Written by LORENZO FIASCHI
ABSTRACT As is well known, zero-sum games are appropriate instruments for the analysis of several issues across areas including economics, international relations and engineering, among others. In particular, the Nash equilibria of any two-player finite…
Lai L., Fiaschi L., Cococcioni M., and Deb K. On the use of grossone methodology for handling priorities in multi-objective evolutionary optimization. In Numerical Infinities and Infinitesimals in Optimization. Springer, 2021.
Written by LORENZO FIASCHI
ABSTRACT This chapter introduces a new class of optimization problems, called Mixed-Pareto-Lexicographic Multi-objective Optimization Problems (MPL-MOPs), to provide a suitable model for scenarios where some objectives have priority over some others. Specifically, this work focuses…
