Maximal flow problem in fuzzy environment

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Authors :

K. K. Mishra 1*

Author Address :

1 Department of Mathematics, Gandhi Institute for Technological Advancement (GITA), Bhubaneswar-752054, Odisha, India.

Abstract :

In this paper the existing algorithm is modified to find fuzzy number maximal flow between source and sink by representing all the parameters as trapezoidal fuzzy number. The trapezoidal fuzzy numbers are defuzzified by using linear ranking function proposed by Maleki [20]. The modified algorithms is illustrated by a suitable example and the obtained results are compared with the existing results.

Keywords :

Fuzzy number maximal flow, Linear ranking function, Trapezoidal fuzzy number.

DOI :

10.26637/MJM0901/0010

Article Info :

Received : November 01, 2020; Accepted : December 24, 2020.