Fuzzy mathematical techniques with applications
Fuzzy mathematical techniques with applications
Fuzzy sets, uncertainty, and information
Fuzzy sets, uncertainty, and information
Fuzzy Sets and Systems
A procedure for ranking fuzzy numbers using fuzzy relations
Fuzzy Sets and Systems
Transitive fuzzy orderings of fuzzy numbers
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy graphs in the evaluation and optimization of networks
Fuzzy Sets and Systems - Special issue on industrial engineering methods
The fuzzy shortest path problem and its most vital arcs
Fuzzy Sets and Systems
ICC&IE-94 Selected papers from the 16th annual conference on Computers and industrial engineering
Randomized algorithms
SIAM Journal on Computing
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Shortest Path Problem on a Network with Imprecise Edge Weight
Fuzzy Optimization and Decision Making
The shortest path problem on networks with fuzzy parameters
Fuzzy Sets and Systems
A dynamic programming approach for finding shortest chains in a fuzzy network
Applied Soft Computing
A fuzzy shortest path with the highest reliability
Journal of Computational and Applied Mathematics
Computing a fuzzy shortest path in a network with mixed fuzzy arc lengths using α-cuts
Computers & Mathematics with Applications
NN'10/EC'10/FS'10 Proceedings of the 11th WSEAS international conference on nural networks and 11th WSEAS international conference on evolutionary computing and 11th WSEAS international conference on Fuzzy systems
WSEAS Transactions on Mathematics
Bases axioms and circuits axioms for fuzzifying matroids
Fuzzy Sets and Systems
Fuzzy shortest path problem based on level λ-triangular LR fuzzy numbers
Advances in Fuzzy Systems
Hi-index | 0.00 |
We present a taxonomy of fuzzy graphs that treats fuzziness in vertex existence, edge existence, edge connectivity, and edge weight. Within that framework, we formulate some standard graph-theoretic problems (shortest paths and minimum cut) for fuzzy graphs using a unified approach distinguished by its uniform application of guiding principles such as the construction of membership grades via the ranking of fuzzy numbers, the preservation of membership grade normalization, and the "collapsing" of fuzzy sets of graphs into fuzzy graphs. Finally, we provide algorithmic solutions to these problems, with examples.