Journal
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS
Volume E88D, Issue 8, Pages 1912-1919Publisher
IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
DOI: 10.1093/ietisy/e88-d.8.1912
Keywords
fuzzy random variable; minimum spanning tree problem; possibility theory; expectation optimization model; polynomial-time algorithm
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This paper deals with minimum spanning tree problems where each edge weight is a fuzzy random variable. In order to consider the imprecise nature of the decision maker's judgment, a fuzzy goal for the objective function is introduced. A novel decision making model is constructed based on possibility theory and on a stochastic programming model. It is shown that the problem including both randomness and fuzziness is reduced to a deterministic equivalent problem. Finally, a polynomial-time algorithm is provided to solve the problem.
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