The aim of this paper is to establish a fuzzy version of the dualitybetween domains and completely distributive lattices. All values aretaken in a fixed frame $L$. A definition of (strongly) completelydistributive $L$-ordered sets is introduced. The main result inthis paper is that the category of fuzzy domains is dually equivalentto the category of strongly completely distributive $L$-ordereds...

An extension of the global convergence framework for unconstrained derivative free optimization methods is presented. The extension makes it possible for the framework to include optimization methods with varying cardinality of the ordered direction set. Grid-based search methods are shown to be a special case of the more general extended global convergence framework. Furthermore, the required ...

To overcome the curses of dimensionality and modeling dynamic programming methods to solve Markov decision process problems, reinforcement learning (RL) are adopted in practice. Contrary traditional RL algorithms, which do not consider structural properties optimal policy, we propose a structur...

Independent sets play an important role in matroid theory. In this paper, the definitions of pre-independent fuzzy set system and independent fuzzy set system in L-fuzzy setting are presented. Independent M-fuzzifying set system is introduced and some of its properties are discussed. Further independent (L,M)-fuzzy set system is given and some of its properties are obtained. The relations of th...

We derive analytic bounds on the convergence factors associated with block relaxation methods for solving the discrete two-dimensional convection-diiusion equation. The analysis applies to the reduced systems derived when one step of block Gaussian elimination is performed on red-black ordered two-cyclic discretizations. We consider the case where centered nite diierence discretiza-tion is used...