An algorithm for solving fuzzy maximal flow problems using generalized triangular fuzzy numbers

Authors:
Amit Kumar;Manjot Kaur
Affiliations:
School of Mathematics and Computer Applications, Thapar University, Patiala-147 004, India;(Correspd. E-mail: manjot.thaparian@gmail.com) School of Mathematics and Computer Applications, Thapar University, Patiala-147 004, India
Venue:
International Journal of Hybrid Intelligent Systems - Rough and Fuzzy Methods for Data Mining
Year:
2011

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Abstract

There are several papers in the literature in which generalized fuzzy numbers are used for solving real life problems but to the best of our knowledge, till now no one has used generalized fuzzy numbers for solving the maximal flow problems. In this paper, the existing algorithm is modified to find fuzzy maximal flow between source and sink by representing all the parameters as generalized triangular fuzzy numbers. To illustrate the modified algorithm a numerical example is solved and the obtained results are compared with the existing results. If there is no uncertainty about the flow between source and sink then the proposed algorithm gives the same result as in crisp maximal flow problems.