A constructive method for the definition of interval-valued fuzzy implication operators

Authors:
C. Alcalde;A. Burusco;R. Fuentes-González
Affiliations:
Escuela Universitaria Politécnica, Departamento de Matemática Aplicada, Universidad del País Vasco, Plaza de Europa 1, 20018 San Sebastián, Spain;Departamento de Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain;Departamento de Automática y Computación, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
Venue:
Fuzzy Sets and Systems
Year:
2005

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Abstract

In this paper, a new characterization for the interval-valued fuzzy implication operators is presented, which provides a simple way to construct interval valued fuzzy implication operators from a given fuzzy implication operator using aggregation operators. This method will be used for defining the interval-valued fuzzy R- and S-implications. Finally, some examples of the interval-valued fuzzy implications built by this constructive method and a comparative study among them are shown.