Distinguishing vagueness from ambiguity in dominance based rough set approach by means of bipolar Pawlak-Brouwer-Zadeh lattices

Salvatore Greco, Benedetto Matarazzo, Roman Słowiński

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review


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 languageEnglish
Title of host publicationRough Sets International Joint Conference, IJCRS 2017, Olsztyn, Poland, July 3-7, 2017, Proceedings, Part II
ISBN (Electronic)978-3319608402
Publication statusPublished - 2 Apr 2017
EventInternational Joint Conference on Rough Sets, IJCRS 2017 - Olsztyn, Poland
Duration: 3 Jul 20177 Jul 2017


ConferenceInternational Joint Conference on Rough Sets, IJCRS 2017

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