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Compatible Extensions and Consistent Rationalizability: A Fuzzy Approach

Irina Georgescu, Compatible Extensions and Consistent Rationalizability: A Fuzzy Approach. TUCS Technical Reports 881, Turku Centre for Computer Science, 2008.

Abstract:

In the framework of the fuzzy set theory based on a continuous
t--norm $\ast$ we introduce the notions of $\star$--compatible
extension and $\ast$--consistent fuzzy relation. We prove an
extension theorem for fuzzy relations generalizing a significant
part of Duggan's extension theorem.

The notion of consistent closure (Bossert, Sprumont, Suzumura) is
extended to fuzzy relations. This allows us to formulate the Fuzzy
Consistent--Closure Condition ($FCCC$) and to prove that $FCCC$
characterizes the fuzzy consistent rationalizability.

BibTeX entry:

@TECHREPORT{tGeorgescu08e,
  title = {Compatible Extensions and Consistent Rationalizability: A Fuzzy Approach},
  author = {Georgescu, Irina},
  number = {881},
  series = {TUCS Technical Reports},
  publisher = {Turku Centre for Computer Science},
  year = {2008},
  keywords = {compatible extension, fuzzy relation, fuzzy rationalizability },
  ISBN = {978-952-12-2059-3},
}

Belongs to TUCS Research Unit(s): Other

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