On Solving a MFL Paradox in Linear Plus Linear Fractional Multi- Objective Transportation Problem Using Fuzzy Approach

In the present work, we have introduced the more-for-less paradox situation in the linear plus linear fractional multi-objective transportation problem (LPLF-MOTP). In this approach, more-for-less (MFL) situation solved using the fuzzy methodology. The paradoxical solution in multi-objective transpo...

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Bibliographic Details
Published in:International journal of applied and computational mathematics Vol. 8; no. 2
Main Authors: Saini, Rachana, Joshi, Vishwas Deep, Singh, Jagdev
Format: Journal Article
Language:English
Published: New Delhi Springer India 01.04.2022
Springer Nature B.V
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Paradoxes
Theoretical
Transportation problem
Multi-objective transportation problem
More-for-less paradox
Linear plus linear fractional
Fuzzy theory
ISSN:2349-5103, 2199-5796
Online Access:Get full text
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Summary:In the present work, we have introduced the more-for-less paradox situation in the linear plus linear fractional multi-objective transportation problem (LPLF-MOTP). In this approach, more-for-less (MFL) situation solved using the fuzzy methodology. The paradoxical solution in multi-objective transportation problems gives us a less or equal compromise optimal solution when transfer more goods from source to destination. In this paper, we also discussed the comparison of MFL solutions between fuzzy programming and compromise solution using ranking procedure (Rizk-Allah). We observe that the result obtained using fuzzy approach shown the superiority over MFL approach. The presented approach has been illustrated with a numerical example.
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ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-022-01278-5