Optimization of fuzzy bottleneck cost transportation models in the decision framework of congruence modulo technique Article Swipe
Kapil Kumar
,
Nandini Nandini
,
T. K. Satish Kumar
,
Kailash Dhanuk
,
A. K. Bhargava
,
Mukesh Kumar Sharma
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1016/j.aej.2025.07.002
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1016/j.aej.2025.07.002
This article investigates the Congruence Modulo algorithm and time freezing method as innovative solutions for addressing fuzzy bottleneck cost transportation problems. Starting from the crisp bottleneck cost transportation problem, we extend this framework into a fuzzy domain, applying the proposed methodology to both cost and time parameters represented through triangular fuzzy numbers in symmetric and non-symmetric forms. The complex fuzzy expressions are systematically transformed into crisp pointwise problems, which are then solved using the integrated approach of the congruence modulo and time freezing methods. The results validate the approach’s effectiveness by achieving objective values that align with or improve upon established methods. The findings underscore this method's practical and robust capability to optimize complex transportation problems under conditions of fuzziness and uncertainty.
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- Type
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- Language
- en
- Landing Page
- https://doi.org/10.1016/j.aej.2025.07.002
- OA Status
- gold
- References
- 78
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4412442521
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https://openalex.org/W4412442521Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.aej.2025.07.002Digital Object Identifier
- Title
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Optimization of fuzzy bottleneck cost transportation models in the decision framework of congruence modulo techniqueWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
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2025Year of publication
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2025-07-15Full publication date if available
- Authors
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Kapil Kumar, Nandini Nandini, T. K. Satish Kumar, Kailash Dhanuk, A. K. Bhargava, Mukesh Kumar SharmaList of authors in order
- Landing page
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https://doi.org/10.1016/j.aej.2025.07.002Publisher landing page
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://doi.org/10.1016/j.aej.2025.07.002Direct OA link when available
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Modulo, Congruence (geometry), Bottleneck, Fuzzy logic, Mathematical optimization, Computer science, Mathematics, Artificial intelligence, Discrete mathematics, Geometry, Embedded systemTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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78Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.problem, | 28 |
| abstract_inverted_index.problems | 115 |
| abstract_inverted_index.proposed | 39 |
| abstract_inverted_index.validate | 86 |
| abstract_inverted_index.achieving | 91 |
| abstract_inverted_index.algorithm | 6 |
| abstract_inverted_index.framework | 32 |
| abstract_inverted_index.fuzziness | 119 |
| abstract_inverted_index.objective | 92 |
| abstract_inverted_index.pointwise | 66 |
| abstract_inverted_index.practical | 107 |
| abstract_inverted_index.problems, | 67 |
| abstract_inverted_index.problems. | 20 |
| abstract_inverted_index.solutions | 13 |
| abstract_inverted_index.symmetric | 53 |
| abstract_inverted_index.Congruence | 4 |
| abstract_inverted_index.addressing | 15 |
| abstract_inverted_index.bottleneck | 17, 25 |
| abstract_inverted_index.capability | 110 |
| abstract_inverted_index.conditions | 117 |
| abstract_inverted_index.congruence | 78 |
| abstract_inverted_index.innovative | 12 |
| abstract_inverted_index.integrated | 74 |
| abstract_inverted_index.parameters | 46 |
| abstract_inverted_index.triangular | 49 |
| abstract_inverted_index.underscore | 104 |
| abstract_inverted_index.established | 100 |
| abstract_inverted_index.expressions | 60 |
| abstract_inverted_index.methodology | 40 |
| abstract_inverted_index.represented | 47 |
| abstract_inverted_index.transformed | 63 |
| abstract_inverted_index.approach’s | 88 |
| abstract_inverted_index.investigates | 2 |
| abstract_inverted_index.uncertainty. | 121 |
| abstract_inverted_index.effectiveness | 89 |
| abstract_inverted_index.non-symmetric | 55 |
| abstract_inverted_index.systematically | 62 |
| abstract_inverted_index.transportation | 19, 27, 114 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 6 |
| citation_normalized_percentile.value | 0.35709735 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |