WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 25, 2026
An Enhanced Decomposition Algorithm for Solving Bicriteria Multistage Pentagonal Neutrosophic Transportation Problems
Authors: , ,
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Abstract: This paper studies a bicriteria multistage transportation problem under uncertainty, where transportation costs and deterioration are modeled using pentagonal neutrosophic numbers (NNs), while supply and demand are deterministic. The uncertain model is first converted into a crisp bicriteria form using a score function (SF). A parametric search-based approach is then developed to obtain nondominated extreme solutions in the criteria space. The proposed method combines classical transportation techniques with decomposition and bicriteria optimization strategies to handle large-scale problems efficiently. An illustration is provided to demonstrate the applicability and effectiveness of the approach.
Keywords:
Bicriteria optimization, Multistage transportation problem, Pentagonal neutrosophic numbers, Score function, Decomposition, Objective space
Pages: 543-552
DOI: 10.37394/23206.2026.25.50