Abstract
This paper considers a minimum spanning tree problem under the situation where costs for constructing edges in a network include both fuzziness and randomness. In particular, this article focuses on the case that the edge costs are expressed by random fuzzy variables. A new decision making model based on a possibility measure and a value at risk measure is proposed in order to find a solution which fully reflects random and fuzzy information. It is shown that an optimal solution of the proposed model is obtained by a polynomial-time algorithm.
Original language | English |
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Pages (from-to) | 10639-10646 |
Number of pages | 8 |
Journal | Expert Systems with Applications |
Volume | 39 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2012 Sep 15 |
Externally published | Yes |
Keywords
- Fractile criterion
- Minimum spanning tree
- Polynomial-time algorithm
- Possibility theory
- Random fuzzy variable
- Value-at-risk
ASJC Scopus subject areas
- Engineering(all)
- Computer Science Applications
- Artificial Intelligence