Record link: 
http://hdl.handle.net/20.500.12708/157815
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Title: 
Minimal Solutions of Fuzzy Relation Equations with General Operators on the Unit Interval
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Citation: 
Medina, J., Turunen, E., Bartl, E., & Díaz-Moreno, J. C. (2014). Minimal Solutions of Fuzzy Relation Equations with General Operators on the Unit Interval. Information Processing and Management of Uncertainty in Knowledge-Based Systems, 81–90. https://doi.org/10.1007/978-3-319-08852-5_9
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Publisher DOI: 
10.1007/978-3-319-08852-5_9
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Publication Type: 
Article - Original Research Article
en
Authors: 
Medina, Jesús 
Turunen, Esko 
Bartl, Eduard 
Díaz-Moreno, Juan Carlos 
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Organisational Unit: 
E104-02 - Forschungsbereich Computational Logic 
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ISSN: 
1865-0929
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Date (published): 
2014
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Number of Pages: 
10
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Peer reviewed: 
No
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Abstract: 
Fuzzy relation equations arise as a mechanism to solve problems in several frameworks, such as in fuzzy logic. Moreover, the solvability of these equations has been related to fuzzy property-oriented concept lattices. This paper studies a procedure to obtain the minimal solutions of fuzzy relation equations R ∘ X = T, with an isotone binary operation associated with a (left or right) residuated implication on the unit interval. From this study several results, based on the covering problem, are introduced generalizing other ones given in the literature.
en
Research Areas: 
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 100%
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Science Branch: 
Mathematik
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