A Fuzzy Approach Using Generalized Dinkelbach’s Algorithm for Multiobjective Linear Fractional Transportation Problem

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ID: 78944
2014
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Abstract
We consider a multiobjective linear fractional transportation problem (MLFTP) with several fractional criteria, such as, the maximization of the transport profitability like profit/cost or profit/time, and its two properties are source and destination. Our aim is to introduce MLFTP which has not been studied in literature before and to provide a fuzzy approach which obtain a compromise Pareto-optimal solution for this problem. To do this, first, we present a theorem which shows that MLFTP is always solvable. And then, reducing MLFTP to the Zimmermann’s “min” operator model which is the max-min problem, we construct Generalized Dinkelbach’s Algorithm for solving the obtained problem. Furthermore, we provide an illustrative numerical example to explain this fuzzy approach.
Reference Key
cetin2014amathematical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Cetin, Nurdan;Tiryaki, Fatma;
Journal mathematical problems in engineering
Year 2014
DOI
DOI not found
URL
http://dx.doi.org/10.1155/2014/702319
Keywords
Therapeutics. Pharmacology Engineering (General). Civil engineering (General) Diseases of the blood and blood-forming organs neurosciences. biological psychiatry. neuropsychiatry psychiatry electronics internal medicine mathematics electronic computers. computer science nuclear and particle physics. atomic energy. radioactivity diseases of the musculoskeletal system therapeutics. psychotherapy

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