A relational division based on a fuzzy bipolar R-implication operator
We introduce in this paper a new relational division operator based on a bipolar implication operator involving fuzzy bipolar relations. The considered bipolarity encompasses two kinds of bipolar conditions: the former is of type "and if possible", and the latter is of type "or else&q...
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| creator | Tamani, Nouredine Lietard, Ludovic Rocacher, Daniel |
| description | We introduce in this paper a new relational division operator based on a bipolar implication operator involving fuzzy bipolar relations. The considered bipolarity encompasses two kinds of bipolar conditions: the former is of type "and if possible", and the latter is of type "or else". This new division operator allows as to express a division of bipolar relations regardless of the nature of the dividend and the divisor (Boolean, fuzzy, bipolar, homogeneous, heterogeneous). We have also shown that the proposed relational division operator satisfies the bipolar quotient properties and can be an alternative to the already proposed operator in [1]-[3] which is based on the quantities involved in the division operation. The new proposed operator is aimed to be integrated into the bipolar SQLf language for flexible querying of relational databases. |
| doi_str_mv | 10.1109/FUZZ-IEEE.2013.6622331 |
| format | Conference Proceeding |
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| ispartof | 2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2013, p.1-7 |
| issn | 1098-7584 |
| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Algebra Chemical and Process Engineering Coherence Compounds Context Electronic mail Engineering Sciences Flexible Querying Food engineering Fuzzy Bipolar Conditions Gödel Fuzzy implication Life Sciences Relational databases Relational Division Semantics |
| title | A relational division based on a fuzzy bipolar R-implication operator |
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