we study interior operators and interior structures in a fuzzy setting.we investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.

An algorithm for solving linear programming problems can be used as a subroutine in methods for more complicated problems. Such methods usually involve solving a sequence of related linear programming problems, where the solution to one linear program is close to the solution to the next, that is, it provides a warm start for the next linear program. The branch and cut method for solving intege...

While some software engineering applications perform static analysis over the whole program call graph, others are more interested in specific call chains within a program’s call graph. It is thus important to identify when a particular static call chain for an object-oriented program may not be executable, or feasible, such that there is no input for which the chain will be taken. This paper e...

The ability to analyze system properties for large scale systems is an important part of modern engineering. Although computer power increases constantly, there is still need to develop tailored methods that are able to handle large scale systems, since sometimes standard methods cannot handle the large scale problems that occur. In this thesis the focus is on system analysis, in particular ana...

This paper develops an algorithm for solving a standard-form linear program directly from an infeasible "warm start,"i.e., directly from a given infeasible solution x that satisfies A = b but x X 0. The algorithm is a potential function reduction algorithm, but the potential function is somewhat different than other interior-point method potential functions, and is given by F(x, B) = q In (ct x...

In this paper, we address the efficient numerical solution of linear and quadratic programming problems, often large scale. With aim, devise an infeasible interior point method, blended with proximal method multipliers, which in turn results a primal-dual regularized method. Application gives rise to sequence increasingly ill-conditioned systems cannot always be solved by factorization methods,...

Protein folding potentials are expected to have the lowest energy for the native shape. The Linear Programming (LP) approach achieves exactly that goal for a training set, or indicates that this goal is impossible to obtain. If a solution cannot be found (i.e., the problem is infeasible) two possible routes are possible: (a) choosing a new functional form for the potential, (b) finding the best...