A procedure for ranking fuzzy numbers using fuzzy relations
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
Order relation between intervals and its application to shortest path problem
Proceedings of the 15th annual conference on Computers and industrial engineering
Interval number and fuzzy number linear programmings
Fuzzy Sets and Systems
ICC&IE-94 Selected papers from the 16th annual conference on Computers and industrial engineering
A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
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
Unified approach fuzzy graph problems
Fuzzy Sets and Systems - Theme: Decision and optimization
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
A new fuzzy topsis method for material handling system selection problems
SEPADS'09 Proceedings of the 8th WSEAS International Conference on Software engineering, parallel and distributed 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
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A network with its arc lengths as imprecise number, instead of a real number, namely, interval number and triangular fuzzy number is considered here. Existing ideas on addition and comparison between two imprecise numbers of same type are introduced. To obtain a fuzzy shortest path from a source vertex to all other vertices, a common algorithm is developed which works well on both types of imprecise numbers under consideration. In the proposed algorithm, a decision-maker is to negotiate with the obtained fuzzy shortest paths according to his/her view only when the means are same but the widths are different of the obtained paths. Otherwise, a fuzzy optimal path is obtained to which the decision-maker always satisfies with different grades of satisfaction. All pairs fuzzy shortest paths can be found by repeated use of the proposed algorithm.