Recently, Liu and Wang described an interesting numerical method to a special class of interval quadratic programming, where the linear term in objective function and constraints involving interval coefficients (Appl. Math. Comput. (2007), doi:10.1016/j.amc.2006.12.007). In this paper, we generalize Liu and Wang’s method to general interval quadratic programming, where all coefficients in the o...

Interval fuzzy preference relations that can well cope with the vagueness and uncertainty are commonly used by the decision maker. The most crucial issue is how to derive the interval priority vector from an interval fuzzy preference relation. This paper first analyzes the size of the interval priority weights. Then, two linear programming models are built, by which the interval priority weight...

This paper deals with the problems of checking strong solvability and feasibility of linear interval equations, checking weak solvability of linear interval equations and inequalities, and finding control solutions of linear interval equations. These problems are known to be NP -hard. We use some recently developed characterizations in combination with classical arguments to show that these pro...

this paper proposes a suitable benchmark for inefficient commercial bank branches by using data envelopment analysis (dea). in order to render an inefficient bank branch efficient, it is necessary to decrease inputs and increase outputs. as there are priorities for decreasing some certain inputs and increasing some certain outputs over other inputs and outputs, respectively, it is necessary to ...

In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear programming (abbreviated to FFLP) problems. Also, we employ linear programming (LP) with equality constraints to find a nonegative fuzzy number vector x which satisfies Ax =b, where A is a fuzzy number matrix. Then we investigate the existence of a positive solution of fully fuzzy linear system (FFLS).