Abstract
In this paper, we present a new algebraic model for Dominance- based Rough Set Approach. Extending the Pawlak-Brouwer-Zadeh lattice introduced for indiscernibility-based rough set approach, the new model permits to distinguish between two kinds of "imperfect" information in case of ordered data: vagueness due to imprecision, and ambiguity due to coarseness typical to rough sets. To build the model we use the bipolar Brouwer-Zadeh lattice to represent a basic vagueness, and to introduce dominance-based rough approximation we define a new operator, called bipolar Pawlak operator. The new model we obtain in this way is called bipolar Pawlak-Brouwer-Zadeh lattice.
| Original language | English |
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| Title of host publication | Rough Sets International Joint Conference, IJCRS 2017, Olsztyn, Poland, July 3-7, 2017, Proceedings, Part II |
| Publisher | Springer |
| ISBN (Electronic) | 978-3319608402 |
| Publication status | Published - 2 Apr 2017 |
| Event | International Joint Conference on Rough Sets, IJCRS 2017 - Olsztyn, Poland Duration: 3 Jul 2017 → 7 Jul 2017 |
Conference
| Conference | International Joint Conference on Rough Sets, IJCRS 2017 |
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| Country/Territory | Poland |
| City | Olsztyn |
| Period | 3/07/17 → 7/07/17 |