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Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers

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  • Kirtiwant P Ghadle
  • Priyanka A Pathade

Abstract

A fuzzy transportation problem (FTP) includes cost, supply and demand of transportation problems. Its numbers are fuzzy numbers. Fuzzy transportation problem works to reduce transportation cost of some commodities through a capacitate network. Present research paper points out a technique with an alpha cut, optimal solution for solving transportation problem. We suggest a technique to find the fuzzy optimal solution on scales of transportation problem and propose a new hexagonal representation of fuzzy numbers. In general, the comparison of balanced fuzzy transportation problem (BFTP) and unbalanced fuzzy transportation problem (UFTP) shows that the optimal transportation cost of UFTP is less than BFTP.

Suggested Citation

  • Kirtiwant P Ghadle & Priyanka A Pathade, 2016. "Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers," International Journal of Mathematical Research, Conscientia Beam, vol. 5(2), pages 131-137.
    • Handle: RePEc:pkp:ijomre:v:5:y:2016:i:2:p:131-137:id:2191
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    Cited by:

    1. Krishna Prabha Sikkannan & Vimala Shanmugavel, 2021. "Sorting Out Fuzzy Transportation Problems via ECCT and Standard Deviation," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 12(2), pages 1-14, April.

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