@inproceedings{5625,
Abstract = {In this paper our aim is to explore a new look at formal systems of fuzzy logics using the framework of (fuzzy) formal concept analysis (FCA). Let L be an extension of MTL complete with respect to a given L-chain. We investigate two possible approaches. The first one is to consider fuzzy formal contexts arising from L where attributes are identified with L-formulas and objects with L-evaluations: every L-evaluation (object) satisfies a formula (attribute) to a given degree, and vice-versa. The corresponding fuzzy concept lattices are shown to be isomorphic to quotients of the Lindenbaum algebra of L. The second one, following an idea in a previous paper by two of the authors for the particular case of Godel fuzzy logic, is to use a result by Ganter and Wille in order to interpret the (lattice reduct of the) Lindenbaum algebra of L-formulas as a (classical) concept lattice of a given context.},
Address = {Cadiz, Spain},
Author = {Pietro Codara and Francesc Esteva and Llu\'is Godo and Diego Valota},
Booktitle = {Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018},
Editor = {J. Medina et al.},
Pages = {275-286},
Publisher = {Springer},
Series = {Communications in Computer and Information Science},
Title = {Connecting systems of mathematical fuzzy logic with fuzzy concept lattices},
Url = {https://doi.org/10.1007/978-3-319-91476-3_23},
Volume = {854},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1007/978-3-319-91476-3_23}}