Ambiguity and fuzziness measures defined on the set of closed intervals in [0,1]

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:
Information Sciences: an International Journal
Year:
2007

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Abstract

Starting from the idea of activity orders, we define a family of orders on the set of closed intervals of a distributive lattice L, that will allow us to set up some preorders associated to the ambiguity and fuzziness in order to measure the ambiguity and fuzziness degree of any closed interval in [0,1].