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.
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Medina, J., Turunen, E., Bartl, E., Díaz-Moreno, J.C. (2014). Minimal Solutions of Fuzzy Relation Equations with General Operators on the Unit Interval. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 444. Springer, Cham. https://doi.org/10.1007/978-3-319-08852-5_9
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DOI: https://doi.org/10.1007/978-3-319-08852-5_9
Publisher Name: Springer, Cham
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