## Volume 5, No. 1, 2010

- Molodtsov D.A.

**«Frequency and Probability Finite Stability»**

Examples of expected value estimation based on frequency finite stability are proposed. Proposed approach with finite probabilities transforms corresponding probability theory to a theory of dynamic control process under conditions of complete uncertainty. This distinguishes it from classic approach.Keywords: frequency finite stability, finite probability, expected value.

Resources: elibrary.ru.

- Gordeev R.N.

**«Sensitivity to Perturbations in Possibilistic Programming Problems with Mutually T-related Parameters and Binary Relations»**

Problems of sensitivity to perturbations in possibilistic programming problems were considered. For the solution set mapping and for the optimal value function stability results are derived in case when the possibilistic parameters and fuzzy binary relations in the model of possibilistic programming problem are mutually T-related. Example shows the necessity of the formulated conditions and illustrate the sharpness of the results in the respective settings.Keywords: possibilistic mathematical programming, stability, perturbations, optimal solution, feasible solution.

Resources: elibrary.ru.

- Bablu Samanta

**«Multi-objective Model with Entropy Objective use Geometric Dual Programming»**(in English)

This study presents a dual convex programming approach to solve multi-objective mathematical model, which still remains uncertain. Using t-norm based fuzzy mathematical programming method; this mathematical model with entropy objectives has been reduced to a single objective primal geometric programming problem. The theory of duality is applied to solve the given model by solving the geometric dual of the perturbed mathematical model.Keywords: multi-objective model, entropy, geometric programming.

Resources: elibrary.ru.