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Analysis on Interval‐Valued Fermatean Fractional Fuzzy Solid Transportation Problem With Goal Programming Approach

Author

Listed:
  • P. Anukokila
  • N. Pushpalatha
  • B. Radhakrishnan
  • Walle Tilahun

Abstract

This study introduces the multiobjective Fermatean fractional fuzzy solid transportation problem with interval cost, which allow for a broader and more flexible representation of uncertainty. The Fermatean fractional fuzzy solid transportation problem can derive the equivalent multiobjective deterministic transportation problem using center and half width of the coefficient. The interval‐valued Fermatean fuzzy numbers are transformed into crisp values through a score function. The proposed model better accommodates the imprecisions in the Pareto optimal solution of the interval‐valued Fermatean fractional fuzzy solid transportation problem with goal programming approach, where the cost, supply, and demand values for the fuzzy transportation problem are represented as Fermatean fuzzy numbers. Additionally, the hyperbolic membership function was also discussed. LINGO 18.0 software program is employed to determine the optimal compromise solution of the illustrated problem.

Suggested Citation

  • P. Anukokila & N. Pushpalatha & B. Radhakrishnan & Walle Tilahun, 2025. "Analysis on Interval‐Valued Fermatean Fractional Fuzzy Solid Transportation Problem With Goal Programming Approach," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:8019102
    DOI: 10.1155/jom/8019102
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