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Modelling Non-Numeric Linguistic Variables

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Developments in Soft Computing

Part of the book series: Advances in Soft Computing ((AINSC,volume 9))

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

  • eBook Packages: Springer Book Archive

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