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.
|Title of host publication||Rough Sets International Joint Conference, IJCRS 2017, Olsztyn, Poland, July 3-7, 2017, Proceedings, Part II|
|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||International Joint Conference on Rough Sets, IJCRS 2017|
|Period||3/07/17 → 7/07/17|