Abstract
Division operators are formulated in the fuzzy relational database based on possibility and necessity measures, where attribute values are expressed by possibility distributions. We formulate division operators from considering the following items: 1. Membership attribute values of tuples in relations, 2. Resemblance degrees between elements in domains, 3. Imprecise attribute values. For the last item, we extend the division operator by considering possible values. When an imprecise attribute value is expressed by a possibility distribution, the most fundamental component is possible values. We cannot obtain correct results of division operators if possible values obtained from the possibility distribution are not considered.
The present article is a revised and slightly expanded version of a paper entitled “Formulating division operators in fuzzy relational databases” presented at the 6th International Conference on Information Processing and Management of Uncertainty in Knowledge-BasedSystems (IPMU ‘86), Granada, Spain, July 1–5, 1996, which appears pp. 1277–1282 in the Proceedings
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Nakata, M. (2000). Formulation of Division Operators in Fuzzy Relational Databases. In: Pons, O., Vila, M.A., Kacprzyk, J. (eds) Knowledge Management in Fuzzy Databases. Studies in Fuzziness and Soft Computing, vol 39. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1865-9_9
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DOI: https://doi.org/10.1007/978-3-7908-1865-9_9
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