Fuzzy Integrals over Complete Residuated Lattices

نویسندگان

  • Antonín Dvorák
  • Michal Holcapek
چکیده

The aim of this paper is to introduce two new types of fuzzy integrals, namely, ⊗-fuzzy integral and →-fuzzy integral, where ⊗ and → are the multiplication and residuum of a complete residuated lattice, respectively. The first integral is based on a fuzzy measure of L-fuzzy sets and the second one on a complementary fuzzy measure of L-fuzzy sets, where L is a complete residuated lattice. Some of their properties and a relation to the fuzzy (Sugeno) integral are investigated. Keywords— fuzzy measure, fuzzy integral, fuzzy quantifier.

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تاریخ انتشار 2009