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Three-phase algorithms in solving full fuzzy transportation problem by using fuzzy analytical hierarchy process

Author

Listed:
  • Muhammad Sam'an
  • Farikhin
  • Bayu Surarso

Abstract

In the fuzzy transportation problem, the ranking function is widely used to order fuzzy number or convert fuzzy number to crisp number. Its process is easy to understand and implement. However, the ranking fuzzy number still has significant weakness in which there is still subjectivity or do not pay attention to real life such that sometimes the input and output disconnected the fully fuzzy transportation problem (FFTP) such as there is negative fuzzy optimal solution. In some cases, it was found that FFTP had equal values of the fuzzy distribution least costs such that the existing methods will be generated two or more fuzzy initial basic feasible values. The proposed algorithm, i.e., three-phase algorithm-based fuzzy AHP, is capable of obtaining the fuzzy optimal solution of FFTP Based on the numerical example used to evaluate the performance of the three phases algorithm. The computational performances have been compared to the existing methods in the literature and the results shown this algorithm can solve the FFTP with similar values fuzzy optimal solution even better minimal solutions than existing methods.

Suggested Citation

  • Muhammad Sam'an & Farikhin & Bayu Surarso, 2023. "Three-phase algorithms in solving full fuzzy transportation problem by using fuzzy analytical hierarchy process," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 48(4), pages 445-466.
    • Handle: RePEc:ids:ijores:v:48:y:2023:i:4:p:445-466
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    Cited by:

    1. P. Senthil Kumar, 2024. "An efficient approach for solving type-2 intuitionistic fuzzy solid transportation problems with their equivalent crisp solid transportation problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(9), pages 4370-4403, September.

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