An approach for solving fully fuzzy linear fractional transportation problem with the using of splitting technique

This paper deals with an application of splitting technique to LFP problem including fuzzy coefficients (FC). This article mainly establishes and applies a modified form of splitting technique and ranking function for solving fully fuzzy linear fractional programming (FFLFP) problem. Here, we propose a method for solving for solving FFLFP problem with the help of splitting technique. After utilising the splitting technique, the problem is converted into equivalent fully fuzzy non-linear fractional programming (FFNLFP) problem and solved the problem with the help of ranking function. The proposed algorithm is tested with three types of problems. A real life diet example (data was collected from TATA-Main Hospital, Jamshedpur, India) is first used. Then, random problem instances are generated and finally, the benchmark problems addressed in literature are also considered. In all the three cases, the results are compared with earlier reported algorithms in the literature and the computational results reveal that the proposed algorithm is competent.