Method for solving unbalanced fully fuzzy multi-objective solid minimal cost flow problems

作者：Kaur Manjot^*; Kumar Amit

来源：Applied Intelligence, 2013, 38(2): 239-254.

DOI：10.1007/s10489-012-0368-6

• Multi-objective linear programming
• Fuzzy multi-objective solid minimal cost flow problem
• Ranking function
• LR flat fuzzy number

In fuzzy single and multi-objective minimal cost flow (MCF) problems, it is assumed that there is only one conveyance which can be used for transporting the product. However, in real life problems, more than one conveyance is used for transporting the product. To the best of our knowledge untill now no method is proposed in the literature for solving such fuzzy single and multi-objective MCF problems in which more than one conveyance is used for transporting the product and all the parameters, as well as all the decision variables that are represented by fuzzy numbers. In this paper, these types of fuzzy multi-objective MCF problems are called fully fuzzy multi-objective solid minimal cost flow (SMCF) problems and a new method is proposed for solving these problems. The advantages of the proposed methods are also discussed.

• 出版日期2013-3