Abstract
In the present paper, the author presents the idea of Roughness Indicator Fuzzy set, which is a fuzzy set associated with an approximation space, capable of indicating the amount of roughness present in the elements and thus she describes how fuzzy membership can be used as as a measure of roughness. The relationships between the different types of indices of fuzziness and the roughness measures are established. It is also observed that nearest ordinary sets play important roles in this case. Consequently, the concept of Roughness Indicator Fuzzy class is also proposed.
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© 2001 Springer-Verlag Berlin Heidelberg
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Chakrabarty, K. (2001). Roughness Indicator Fuzzy Set. In: John, R., Birkenhead, R. (eds) Developments in Soft Computing. Advances in Soft Computing, vol 9. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1829-1_7
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DOI: https://doi.org/10.1007/978-3-7908-1829-1_7
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1361-6
Online ISBN: 978-3-7908-1829-1
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