{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T18:14:19Z","timestamp":1777486459199,"version":"3.51.4"},"reference-count":82,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2025,6,23]],"date-time":"2025-06-23T00:00:00Z","timestamp":1750636800000},"content-version":"vor","delay-in-days":173,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Advances in Fuzzy Systems"],"published-print":{"date-parts":[[2025,1]]},"abstract":"<jats:p>Transportation Problem (TP) is considered a combinatorial optimization problem, and its aim is to minimize the total transportation cost from several sources to different destinations. In this paper, an intensive literature review of the TP is presented in detail with an enhancement of the novel heuristic entitled Dhouib\u2010Matrix\u2010TP1 (DM\u2010TP1) to solve the TP under a hexagonal fuzzy environment. Indeed, all parameters of the TP\u2014such as transportation cost, demand, and supply\u2014are represented using hexagonal fuzzy numbers (HFNs), which offer a richer structure for modeling uncertainty with less information loss compared to triangular or trapezoidal fuzzy numbers. To convert these HFNs to crisp ones, the centroid ranking function is used. After that, the DM\u2010TP1 method is applied to rapidly find an initial basic feasible solution using the original metric (Average\u2013Min). Experiment results of DM\u2010TP1 on different literature Hexagonal Fuzzy Transportation Problems (HFTPs) prove its performance. Moreover, DM\u2010TP1 illustrates graphically the generated solution and allows the decision maker to ergonomically handle the TPs under HFNs.<\/jats:p>","DOI":"10.1155\/adfs\/3152445","type":"journal-article","created":{"date-parts":[[2025,6,23]],"date-time":"2025-06-23T09:48:53Z","timestamp":1750672133000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Optimizing the Hexagonal Fuzzy Transportation Problem With the Novel Dhouib\u2010Matrix\u2010TP1 Method"],"prefix":"10.1155","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2487-0062","authenticated-orcid":false,"given":"Souhail","family":"Dhouib","sequence":"first","affiliation":[]},{"given":"Aida","family":"Kharrat","sequence":"additional","affiliation":[]},{"given":"Taicir","family":"Loukil","sequence":"additional","affiliation":[]},{"given":"Habib","family":"Chabchoub","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2025,6,23]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-73903-8_5"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/sapm1941201224"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40747-020-00242-4"},{"key":"e_1_2_10_5_2","first-page":"6367","article-title":"Solving Transportation Problem With Generalized Hexagonal and Generalized Octagonal Fuzzy Numbers by Ranking Method","volume":"13","author":"Ghadle K. 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