The arithmetic on an extended set of proper and improper intervals presents algebraic completion of the conventional interval arithmetic allowing thus efficient solution of some interval algebraic problems. In this paper we summarize and present all distributive relations, known by now, on multiplication and addition of generalized (proper and improper) intervals.

in this paper,  a heuristic algorithm is proposed in order to solve a nonlinear lexicography goal programming (nlgp) by using an efficient initial point. some numerical experiments showed that the search quality by the proposed heuristic in a multiple objectives problem depends on the initial point features, so in the proposed approach the initial point is retrieved by data envelopment analysis...

All industrial processes especially metal cleaning procedures dealing with dangerous solutions should be used as little as possible and their emission into the aquatic environment should be controlled. In this study, in order to find a proper and efficient cleaning process, lead pollution was removed from the solid matrix by using a cleaner solution containing EDTA and H2O2 as chelating and oxi...

The Proper Generalized Decomposition or, in short, PGD is a tensor decomposition based technique to solve PDE problems. It reduces calculation and storage cost drastically and presents some similarities with the Proper Orthogonal Decomposition, in short POD. In this work, we propose an efficient implementation to improve the convergence of the PGD, towards the numerical solution of a discretize...

Given positive integers a, b and c to compute a generating system for the numerical semigroup whose elements are all positive integer solutions of the inequality axmod b ≤ cx is equivalent to computing a Bézout sequence connecting two reduced fractions. We prove that a proper Bézout sequence is completely determined by its ends and we give an algorithm to compute the unique proper Bézout sequen...

in this paper, a comprehensive model is proposed to design a network for multi-period, multi-echelon, and multi-product inventory controlled the supply chain. various marketing strategies and guerrilla marketing approaches are considered in the design process under the static competition condition. the goal of the proposed model is to efficiently respond to the customers’ demands in the presenc...