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
ICC&IE-94 Selected papers from the 16th annual conference on Computers and industrial engineering
A shortest path problem on a network with fuzzy arc lengths
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
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
Solving the fuzzy shortest path problem on networks by a new algorithm
FS'09 Proceedings of the 10th WSEAS international conference on Fuzzy systems
Computing a fuzzy shortest path in a network with mixed fuzzy arc lengths using α-cuts
Computers & Mathematics with Applications
Fuzzy shortest path problem based on level λ-triangular LR fuzzy numbers
Advances in Fuzzy Systems
Intuitionistic fuzzy shortest hyperpath in a network
Information Processing Letters
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The fuzzy shortest path (SP) problem aims at providing decision makers with the fuzzy shortest path length (FSPL) and the SP in a network with fuzzy arc lengths. In this paper, each arc length is represented as a triangular fuzzy set and a new algorithm is proposed to deal with the fuzzy SP problem. First, we proposed a heuristic procedure to find the FSPL among all possible paths in a network. It is based on the idea that a crisp number is a minimum number if and only if any other number is larger than or equal to it. It owns a firm theoretic base in fuzzy sets theory and can be implemented effectively. Second, we propose a way to measure the similarity degree between the FSPL and each fuzzy path lengths. The path with the highest similarity degree is the SP. An illustrative example is given to demonstrate our proposed approach.