Paths of least resistance in possibilistic production systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Correlation of intuitionistic fuzzy sets
Fuzzy Sets and Systems
Entropy, distance measure and similarity measure of fuzzy sets and their relations
Fuzzy Sets and Systems
A comparative assessment of measures of similarity of fuzzy values
Fuzzy Sets and Systems
The fuzzy shortest path problem and its most vital arcs
Fuzzy Sets and Systems
Similarity measure between fuzzy sets and between elements
Fuzzy Sets and Systems
A shortest path problem on a network with fuzzy arc lengths
Fuzzy Sets and Systems
Correlation between two fuzzy membership functions
Fuzzy Sets and Systems
Solving the fuzzy shortest path problem on networks by a new algorithm
FS'09 Proceedings of the 10th WSEAS international conference on Fuzzy systems
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In the past, the fuzzy shortest path problem in a network has attracted attention from many researchers for its importance to various applications. In this paper, we propose a new algorithm to deal with the fuzzy shortest path problem. It is composed of fuzzy shortest path length procedure and similarity measure. The former is presented to determine the fuzzy shortest path length from source node to the destination node in the network, and the latter is used to measure the similarity degree between fuzzy length sets. This algorithm not only can yield shortest length but also can offer the actual shortest path to decision makers. An illustrative example is also included to demonstrate our proposed algorithm.