An Improved Method for Fuzzy Transportation Problems Using Generalized Pentagonal Fuzzy Numbers
DOI:
https://doi.org/10.26713/cma.v17i3.3555Keywords:
Pentagonal Fuzzy Numbers, Fuzzy transportation problem, Ranking Function, Pascal’s Triangle, Membership functionAbstract
The presence of vague and inexact information in practical transportation systems neces-
sitate the development of innovative methodologies to optimize decision-making processes.
This study presents a new approach for solving fuzzy transportation problems (FTPs) by
using pentagonal fuzzy numbers (PFNs). The PFNs effectively encapsulate imprecise data,
and a new ranking methodology is developed to facilitate the comparison and ordering of
PFNs. The proposed framework is seamlessly incorporated into an FTP-solving algorithm,
which is validated through numerical examples and benchmarked against established meth-
ods. The results underscore the effectiveness of the suggested methodology in resolving FTPs
and offering practical solutions to complex transportation challenges. This study provides
a notable advancement in fuzzy optimization, offering valuable insights for decision-making
processes within transportation systems beset by uncertainty and imprecision.
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