Sahidul Islam

Neutrosophic Goal Geometric Programming Problem and Its Application to Multi-objective Reliability Optimization Model

This paper presents the goal geometric programming method in neutrosophic environment. Neutrosophic set is one of the most useful tools to express uncertainty, impreciseness in a more general way compare to fuzzy set and intuitionistic fuzzy set. Thus, the proposed approach is described here as an extension of fuzzy goal geometric programming and intuitionistic fuzzy goal geometric programming. To demonstrate the methodology and applicability of the proposed approach, a multi-objective nonlinear reliability optimization model is taken here and it is evaluated comparing the result obtained by the proposed method with the solution obtained in intuitionistic fuzzy goal geometric programming technique at the end of this paper.

Multi-objective Transhipment problem with an additional entropy objective function using fuzzy programming

In this paper, we propose a multi-objective transhipment problem where the source and destination parameters are chosen as triangular fuzzy numbers. There is an additional entropy objective function in the multi-objective transshipment problem.Using nearest interval approximation and total integral value of the fuzzy number, the problem is transformed into two types of crisp multi-objective problems. Finally, the transformed problems have been solved by fuzzy programming technique (using Bellman and Zadehs (1970) minimum and additive operator). Numerical examples have been given to illustrate the original problem.

Fuzzy multi-item inventory model with time varying stock dependent demand under partial backlogging

In this paper we have formulated a multi-item fuzzy inventory model with stock dependent demand rate and shortages are allowed with partial backlogging. The multi-item inventory model with demand dependent unit cost has been formulated alone with storage space constraints. The partial backlogging rate of unsatisfied demand is assumed to be decreasing exponential function for waiting time. Here the cost parameters, the objective function and constraint are imposed in fuzzy nature. The model has been solved by Fuzzy Goal Programming (FGP) method. Finally the model is expressed by numerical example.