ABSTRACT: The Kuhn-Tucker theorem in nondifferential form is a well-known classical optimality criterion for a convex programming problems which is true for a convex problem in the case when a ...

Abstract: Recently, linear programming problems with symmetric fuzzy numbers (LPSFN) have considered by some authors and have proposed a new method for solving these problems without converting to the ...

This paper addresses the issue of which strong duality holds between parametric robust semi-definite linear optimization problems and their dual programs. In the case of a spectral norm uncertainty ...

Mixed Integer (linear) Program: some variables integral. Example: 3 machines, trying to find the right product mix to max. revenue (Primal problem). Now another company wants to rent the machines: ...

This paper considers fluid analogues for the standard linear programming problem and for a separable nonlinear programming problem. In the former case the usual duality results are demonstrated using ...

Abstract: Some results concerning the problem of duality between observation and control for implicit linear discrete-time systems are presented. It is not assumed that the considered systems are ...

Intuitionistic Fuzzy Set (IFS) can be used as a general tool for modeling problems of decision making under uncertainty where, the degree of rejection is defined simultaneously with the degree of ...