Abstract
Intuitionistic fuzzy special sets is a special case of intuitionistic fuzzy sets. In this paper, under the framework of information systems, the relationship between intuitionistic fuzzy special sets and rough sets is analyzed. Based on basic intuitionistic fuzzy special sets of information systems, intuitionistic fuzzy special σ-algebra are generated, and rough sets are embedded in the intuitionistic fuzzy special σ-algebra. Naturally, distances (e.g., Hamming distance or Euclidean distance) of intuitionistic fuzzy special sets in intuitionistic fuzzy special σ-algebra can be used to evaluate predication rules of information systems which is an important subject of rough set theory.
Keywords
- Decision Attribute
- Print Circuit Board Assembly
- Decision Information System
- Fuzzy Complementation
- Nonmembership Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Pei, Z., Zhang, L., Chen, H. (2007). Representation of Rough Sets Based on Intuitionistic Fuzzy Special Sets. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_12
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DOI: https://doi.org/10.1007/978-3-540-72950-1_12
Publisher Name: Springer, Berlin, Heidelberg
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