Abstract
This chapter demonstrates that a fuzzy approach to modeling thick indifference can accommodate highly irregularly shaped indifference curves, even those that are concave or multi-modal. Moreover, it permits the calculation of a majority rule maximal set with relative ease under assumptions of non-separability. This approach relies on a homomorphism that permits a region of interest to be mapped to a simpler region with a suitable and natural partial ordering where the results are determined and then faithfully transferred back to the original region of interest.
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Gibilisco, M.B., Gowen, A.M., Albert, K.E., Mordeson, J.N., Wierman, M.J., Clark, T.D. (2014). Representing Thick Indifference in Spatial Models. In: Fuzzy Social Choice Theory. Studies in Fuzziness and Soft Computing, vol 315. Springer, Cham. https://doi.org/10.1007/978-3-319-05176-5_7
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DOI: https://doi.org/10.1007/978-3-319-05176-5_7
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