Duality for MultiobjectiveB-vex Programming Involvingn-Set Functions

AbstractIn the present paper we consider a class of multiobjectiveB-vex programming problems involving differentiableB-vexn-set functions and establish duality results in terms of properly efficient solutions. Further, we relate the problem to a certain saddle point of a Lagrangian and show multiobjective fractional program as a special case of the main problem

Generalized b-invex vector valued functions

The aim of this paper is to provide some first results regarding to the extension to the vector valued case of the b -ìnvex functions. Some definitions will be given for both the nonsmooth case and the differentiable case; the inclusion relationships among the introduced families of functions will be studied and some results regarding to vector valued optimization will be stated

An equipment replacement problem with dynamic production planning and capacity considerations

In this paper, we propose a 0-1 integer programming formulation for an equipment replacement problem in which the demand of a product varies from period to period and different types of equipment with different production capacities are available. Since all the variables involved in the model are restricted to have binary values, the model is fairly efficient and hence can be used for large-sized problems. The use of the model is demonstrated with the help of some numerical examples

Matrix games with fuzzy goals and fuzzy payoffs

A two person zero sum matrix game with fuzzy goals and fuzzy payoffs is considered and its solution is conceptualized using a suitable defuzzification function. Also, it is proved that such a game is equivalent to a primal-dual pair of certain fuzzy linear programming problems in which both goals as well as parameters are fuzzy.Fuzzy goal Fuzzy payoff Fuzzy linear programming problem