Abstract
We consider how non-numeric linguistic variables may take their values from a pre-ordered set of vaguely defined linguistic terms. The mathematical structures that arise from the assumption that linguistic terms are pair-wise tolerant are considered. A homomorphism between tolerance spaces, filter bases and fuzzy numbers is shown. A proposal for modelling non-numeric linguistic variables with an ordered set of fuzzy numbers is introduced.
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© 2001 Springer-Verlag Berlin Heidelberg
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Williams, J., Steele, N., Robinson, H. (2001). Modelling Non-Numeric Linguistic Variables. 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_15
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DOI: https://doi.org/10.1007/978-3-7908-1829-1_15
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1361-6
Online ISBN: 978-3-7908-1829-1
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