International Journal of Scientific Research and Engineering Development

In many real life transformations and logistics decision-making problems uncertainty, hesitation and refusal information cannot be effectively represented by classical fuzzy models. To address this limitation the concept of Picture Fuzzy sets is employed which incorporates positive membership, neutral and negative membership degrees, providing more comprehensive frame work for handling uncertainty. In this paper a novel mathematical approach is proposed to solve Fractional Transportation Problems under Picture Fuzzy (PF) environment. In this proposed methodology a score function is utilized to convert Picture Fuzzy parameters into crisp values for computational feasibility. Further Charnes and Cooper transformation is utilized to transform the fractional objective transportation into linear form. Further Then this linear crisp transportation problem is solved by using any standard optimization techniques to obtain optimal value. A numerical example is provided to demonstrate the applicability, effectiveness and computational efficient of proposed method.

Parmpreet Kaur,"A Novel Approach to solve Fractional Transportation Problems under Picture Fuzzy Environment using Charnes and Cooper Transformation" International Journal of Scientific Research and Engineering Development, V9(3): Page(665-670) May-June 2026. ISSN: 2581-7175. www.ijsred.com. Published by Scientific and Academic Research Publishing.