Approximate Similarities and Poincaré Paradox
Gerla, Giangiacomo
Notre Dame J. Formal Logic, Tome 49 (2008) no. 1, p. 203-226 / Harvested from Project Euclid
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De Cock and Kerre, in considering Poincaré paradox, observed that the intuitive notion of "approximate similarity" cannot be adequately represented by the fuzzy equivalence relations. In this note we argue that the deduction apparatus of fuzzy logic gives adequate tools with which to face the question. Indeed, a first-order theory is proposed whose fuzzy models are plausible candidates for the notion of approximate similarity. A connection between these structures and the point-free metric spaces is also established.
Publié le : 2008-04-15
Classification:  fuzzy equivalence, , ,,  approximate reasoning,  point-free geometry,  Poincaré paradox,  03B52,  03A05 
@article{1210859928,
     author = {Gerla, Giangiacomo},
     title = {Approximate Similarities and Poincar\'e Paradox},
     journal = {Notre Dame J. Formal Logic},
     volume = {49},
     number = {1},
     year = {2008},
     pages = { 203-226},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1210859928}
}

Gerla, Giangiacomo. Approximate Similarities and Poincaré Paradox. Notre Dame J. Formal Logic, Tome 49 (2008) no. 1, pp.  203-226. http://gdmltest.u-ga.fr/item/1210859928/