Distinguishing Vagueness from Ambiguity in Dominance-Based Rough Set Approach by Means of a Bipolar Pawlak-Brouwer-Zadeh Lattice
[ 1 ] Instytut Informatyki, Wydział Informatyki, Politechnika Poznańska | [ P ] employee
2017
chapter in monograph / paper
english
- dominance-based rough set approach
- algebraic model
- bipolar Pawlak-Brouwer-Zadeh lattice
- vagueness
- ambiguity
EN 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 approximations we define a new operator, called bipolar Pawlak operator. The new model we obtain in this way is called bipolar Pawlak-Brouwer-Zadeh lattice.
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WoS (15)