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http://hdl.handle.net/2117/1176
Mon, 21 Apr 2014 15:03:43 GMT2014-04-21T15:03:43Zwebmaster.bupc@upc.eduUniversitat Politècnica de Catalunya. Servei de Biblioteques i DocumentaciónoA map characterizing the fuzzy points and columns of a T-indistinguishability operator
http://hdl.handle.net/2117/1178
Title: A map characterizing the fuzzy points and columns of a T-indistinguishability operator
Authors: Boixader Ibáñez, Dionís; Recasens Ferrés, Jorge
Abstract: A new map (ΛE) between fuzzy subsets of a universe X endowed with a T-indistinguishability operator E is introduced. The main feature of ΛE is that it has the columns of E as fixed points, and thus it provides us with a new criterion to decide whether a generator is a column. Two well known maps (φE and ψE) are also reviewed, in order to compare them with ΛE. Interesting properties of the fixed points of ΛE and Λ2
E are studied. Among others, the fixed points of ΛE (Fix(ΛE)) are proved to be the maximal fuzzy points of (X,E) and the fixed points of Λ2 E coincide with the Image of ΛE. An isometric embedding of X into Fix(ΛE) is established and studied.Thu, 06 Sep 2007 12:42:47 GMThttp://hdl.handle.net/2117/11782007-09-06T12:42:47ZBoixader Ibáñez, Dionís; Recasens Ferrés, JorgenoFuzzy point, Fuzzy relation, Column of a fuzzy relation, T-norm, T-indistinguishability operator, GeneratorA new map (ΛE) between fuzzy subsets of a universe X endowed with a T-indistinguishability operator E is introduced. The main feature of ΛE is that it has the columns of E as fixed points, and thus it provides us with a new criterion to decide whether a generator is a column. Two well known maps (φE and ψE) are also reviewed, in order to compare them with ΛE. Interesting properties of the fixed points of ΛE and Λ2
E are studied. Among others, the fixed points of ΛE (Fix(ΛE)) are proved to be the maximal fuzzy points of (X,E) and the fixed points of Λ2 E coincide with the Image of ΛE. An isometric embedding of X into Fix(ΛE) is established and studied.