Closure structures parameterized by systems of isotone Galois connections

@article{Vychodil2017ClosureSP,
  title={Closure structures parameterized by systems of isotone Galois connections},
  author={V. Vychodil},
  journal={ArXiv},
  year={2017},
  volume={abs/1701.02445}
}
  • V. Vychodil
  • Published 2017
  • Computer Science, Mathematics
  • ArXiv
Abstract We study properties of classes of closure operators and closure systems parameterized by systems of isotone Galois connections. The parameterizations express stronger requirements on idempotency and monotony conditions of closure operators. The present approach extends previous approaches to fuzzy closure operators which appeared in analysis of object-attribute data with graded attributes and reasoning with if-then rules in graded setting and is also related to analogous results… Expand
4 Citations

References

SHOWING 1-10 OF 71 REFERENCES
Parameterizing the Semantics of Fuzzy Attribute Implications by Systems of Isotone Galois Connections
  • V. Vychodil
  • Mathematics, Computer Science
  • IEEE Transactions on Fuzzy Systems
  • 2016
Closure systems and L-subalgebras
On implicative closure operators in approximate reasoning
Fuzzy Closure Operators with Truth Stressers
Residuated Lattices
Graded Consequence Relations and Fuzzy Closure Operators
Universal Algebra for Computer Scientists
  • W. Wechler
  • Mathematics, Computer Science
  • EATCS Monographs on Theoretical Computer Science
  • 1992
Fuzzy Horn logic II
...
1
2
3
4
5
...