The logical content of triangular bases of fuzzy sets in Lukasiewicz infinite-valued logic

نویسندگان

  • Pietro Codara
  • Ottavio M. D'Antona
  • Vincenzo Marra
چکیده

Continuing to pursue a research direction that we already explored in connection with Gödel-Dummett logic and Ruspini partitions, we show here that Lukasiewicz logic is able to express the notion of pseudo-triangular basis of fuzzy sets, a mild weakening of the standard notion of triangular basis. En route to our main result we obtain an elementary, logic-independent characterisation of triangular bases of fuzzy sets.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 247  شماره 

صفحات  -

تاریخ انتشار 2014