An approach to solve multi-objective transportation problem using fuzzy goal programming and genetic algorithm

2018 ◽  
Author(s):  
M. Sharif Uddin ◽  
Sushanta K. Roy ◽  
M. Mesbahuddin Ahmed
Keyword(s):  
Genetic Algorithm ◽  
Goal Programming ◽  
Transportation Problem ◽  
Fuzzy Goal Programming ◽  
Multi Objective ◽  
Fuzzy Goal

Fuzzy Multi-Objective Programming With Joint Probability Distribution

2019 ◽  
pp. 263-295
Keyword(s):  
Probability Distribution ◽  
Goal Programming ◽  
Joint Probability ◽  
Chance Constraints ◽  
Fuzzy Goal Programming ◽  
Probabilistic Constraints ◽  
Joint Probability Distribution ◽  
Multi Objective ◽  
Fuzzy Goal ◽  
The Difference

In this chapter, a fuzzy goal programming (FGP) model is employed for solving multi-objective linear programming (MOLP) problem under fuzzy stochastic uncertain environment in which the probabilistic constraints involves fuzzy random variables (FRVs) following joint probability distribution. In the preceding chapters, the authors explain about linear, fractional, quadratic programming models with multiple conflicting objectives under fuzzy stochastic environment. But the chance constraints in these chapters are considered independently. However, in practical situations, the decision makers (DMs) face various uncertainties where the chance constraints occur jointly. By considering the above fact, the authors presented a solution methodology for fuzzy stochastic MOLP (FSMOLP) with joint probabilistic constraint following some continuous probability distributions. Like the other chapters, chance constrained programming (CCP) methodology is adopted for handling probabilistic constraints. But the difference is that in the earlier chapters chance constraints are considered independently, whereas in this chapter all the chance constraints are taken jointly. Then the transformed problem involving possibilistic uncertainty is converted into a comparable deterministic problem by using the method of defuzzification of the fuzzy numbers (FNs). Objectives are now solved independently under the set of modified system constraints to obtain the best solution of each objective. Then the membership function for each objective is constructed, and finally, a fuzzy goal programming (FGP) model is developed for the achievement of the highest membership goals to the extent possible by minimizing group regrets in the decision-making context.

Fuzzy Goal Programming With Interval Type-2 for Solving Multi-Objective Sustainable Supplier Selection Problems

2021 ◽  
pp. 164-197
Author(s):  
Nurullah UMARUSMAN
Keyword(s):  
Supply Chain ◽  
Goal Programming ◽  
Supplier Selection ◽  
De Novo ◽  
Fuzzy Goal Programming ◽  
Multi Objective ◽  
Sustainable Supplier Selection ◽  
Fuzzy Goal ◽  
Interval Type

Supply chain management is going on changing and developing in line with the needs of the growing global supply chain. Performance of supply chain, considered as a whole so that businesses can accommodate these evolvements and change, needs to be improved in the long run. Actually, businesses work with suppliers complying with their policies from past to present. However, other dimensions of sustainability should be considered, as well as economic criteria when selecting suppliers. With the right supplier selection made in this respect, by contributing to the efficient functioning of the supply chain, it will increase customer satisfaction, and therefore, the enterprises will reach the goals they set. The solution of the multi-objective sustainable supplier selection problem has been realized by using the “satisfied optimal supplier design” algorithm, also called fuzzy goal programming, with de novo-based interval type-2 proposed in this study.

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