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