Probabilistic, fuzzy and rough concepts in social choice

Article Abstract:

The negative results arising from the application of modern social choice theory to the aggregation of individual opinions may be minimized by modifying the assumptions and problem formulations. This may be achieved by using the theories of probability or randomness, fuzziness, and rough sets to characterize imprecision in voting and collective choice problems. An example is the use of fuzzy preference relations and fuzzy majorities in probabilistic voting schemes.

Probabilities, Probability theory, Decision-making, Group, Group decision making, Social choice

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Fuzzy bicriteria multi-index transportation problems for coal allocation planning of Taipower

Article Abstract:

The difficulties experienced by Taipower in planning the purchase, transportation and allocation of coal are expressed as a fuzzy bicriteria multi-index transportation problem. The latter is characterized by multiple source points, multiple demand points, multiple ships and different types of coal. To solve it, an algorithm based on the reducing index technique and interactive linear programming is developed.

Resource allocation

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