On possible generalization of fuzzy concept lattices using dually isomorphic retracts

Authors:
Jozef PóCs
Affiliations:
Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 040 01 Košice, Slovakia Technical University of Košice, BERG Faculty, Institute of Control and Informatization ...
Venue:
Information Sciences: an International Journal
Year:
2012

Citing 6
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Abstract

We provide a generalization of fuzzy concept lattices based on so-called weak Galois connections. Generalization is that instead of dually isomorphic closure systems we consider dually isomorphic retracts of complete lattices. We also give a generalization of the concept lattices with hedges, proposed by Belohlavek and Vychodil, based on composition of interior operators with Galois connections.