Author:
Zoltán Csajbók
Affiliation:
Department of Health informatics, Faculty of Health Sciences, University of Debrecen Sóstói út 2-4, HU-4406 Nyíregyháza, Hungary
Keyword(s):
Bipolarity, Orthopairs, Rough Set Theory, Interval Arithmetic, Measuring, Ranking.
Abstract:
Orthopairs, i.e., disjoint sets, are reasonable means to represent bipolar information. Bipolarity has different models; we use the well-known Dubois-Prade typology. Of course, bipolarity can also carry uncertainty. In this paper, we investigate mainly the bipolarity of type II. In Pawlak’s rough set theory, this bipolarity type, with its uncertainty, can be modeled naturally. The “positive” and “negative” sets form an orthopair whose two sets can be approximated by rough sets separately. Rough sets represented by nested sets can be considered an interval set structure. With the help of counting measure, interval numbers can be assigned to the nested sets. Then, relying on interval arithmetic, taking into account the uncertain nature of bipolarity, the degree of bipolarity can be measured, and the positive and negative sets ranked.