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A multiple-valued logic approach for multigranulation rough set model.
- Source :
-
International Journal of Approximate Reasoning . Mar2017, Vol. 82, p270-284. 15p. - Publication Year :
- 2017
-
Abstract
- Rough sets have often been studied under a three-valued logic framework. In this paper, we attempt to extend the previous study in two ways. Firstly, we extend the previous study from single-granulation to multigranulation. Secondly, we study multigranulation rough set theory from the viewpoint of three-way decision. More precisely, we embody the idea of three-way decision theory in the definition of multigranulation rough set theory. This leads to an axiomatic definition of decision-oriented aggregation operators on 3 = { 0 , 1 2 , 1 } , which are quite different from those conjunctions proposed so far. Moreover, considering that a multigranulation rough set also divides the universe into five disjoint subsets, we present a five-valued semantics for multigranulation rough set model, and a kind of non-deterministic matrices is thus given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ROUGH sets
*SET theory
*AXIOMATIC set theory
*AXIOMS
*MATHEMATICAL logic
Subjects
Details
- Language :
- English
- ISSN :
- 0888613X
- Volume :
- 82
- Database :
- Academic Search Index
- Journal :
- International Journal of Approximate Reasoning
- Publication Type :
- Periodical
- Accession number :
- 120889992
- Full Text :
- https://doi.org/10.1016/j.ijar.2016.12.006