Linear programming problems and ranking of fuzzy numbers
Fuzzy Sets and Systems
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Ranking fuzzy numbers with integral value
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Ranking and defuzzification methods based on area compensation
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
An algorithm for solving fuzzy maximal flow problems using generalized triangular fuzzy numbers
International Journal of Hybrid Intelligent Systems - Rough and Fuzzy Methods for Data Mining
Fuzzy distance of triangular fuzzy numbers
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In conventional maximal flow problems, it is assumed that decision maker is certain about the flows between different nodes. But in real life situations, there always exist uncertainty about the flows between different nodes. In such cases, the flows may be represented by fuzzy numbers. In literature, there are several methods to solve such type of problems. Till now, no one has used ranking function to solve above type of problems. In this paper, a new algorithm is proposed to find fuzzy maximal flow between source and sink by using ranking function. To illustrate the algorithm a numerical example is solved and result is explained. 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.