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Granular fuzzy rough sets based on fuzzy implicators and coimplicators
- Source :
- Fuzzy Sets and Systems. 359:112-139
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- This paper introduces granular fuzzy rough sets in the view of fuzzy implicators and fuzzy coimplicators, and discusses the constructive and axiomatic approach to fuzzy granules based on fuzzy implicators and coimplicators. Moreover, we study the connection between fuzzy granules and fuzzy relations and discuss the relationship between existing granular fuzzy rough set models and that proposed in this paper. Considering the absolute error limit, we introduce the concept of the granular variable precision fuzzy rough sets based on fuzzy implicators and coimplicators. Then we present four propositions to ensure that the approximation operators can be efficiently calculated.
- Subjects :
- 0209 industrial biotechnology
Mathematics::General Mathematics
Logic
Axiomatic system
02 engineering and technology
Constructive
Fuzzy logic
ComputingMethodologies_PATTERNRECOGNITION
020901 industrial engineering & automation
Artificial Intelligence
Approximation error
Approximation operators
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
ComputingMethodologies_GENERAL
Limit (mathematics)
Fuzzy rough sets
Algorithm
Mathematics
Variable precision
Subjects
Details
- ISSN :
- 01650114
- Volume :
- 359
- Database :
- OpenAIRE
- Journal :
- Fuzzy Sets and Systems
- Accession number :
- edsair.doi...........ef4c14a31f42d3b6d38a09772e6b3fbf