Positive Mathematical Programming with Generalized Risk

Positive Mathematical Programming

Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming

and Applied Analysis 3 It can be easily seen that for a compact convex set C, y is in NC x if and only if S y | C xy, or equivalently, x is in ∂S y | C . Definition 2.2. A functional F : X × X × R → R where X ⊆ R is sublinear with respect to the third variable if for all x, u ∈ X ×X, i F x, u; a1 a2 ≤ F x, u; a1 F x, u; a2 for all a1, a2 ∈ R, ii F x, u;αa αF x, u; a , for all α ∈ R and for all ...

Mathematical solution of multilevel fractional programming problem with fuzzy goal programming approach

In this paper, we show a procedure for solving multilevel fractional programming problems in a large hierarchical decentralized organization using fuzzy goal programming approach. In the proposed method, the tolerance membership functions for the fuzzily described numerator and denominator part of the objective functions of all levels as well as the control vectors of the higher level decision ...

Using the Positive Mathematical Programming Method to Calibrate

In agricultural economics, several calibration and aggregation approaches have evolved in mathematical programming models. This article combines in a linear programming model features of the Positive Mathematical Programming method with an aggregation approach that is constrained to the production possibility set spanned by a convex combination of observed production activities. The combination...

construction of vector fields with positive lyapunov exponents

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...