Semiautoduality in a restricted family of aggregation operators

Authors:
H. Bustince;J. Montero;E. Barrenechea;M. Pagola
Affiliations:
Universidad Pública de Navarra, Campus Arrosadia s/n, 31006, Pamplona, Spain;Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain;Universidad Pública de Navarra, Campus Arrosadia s/n, 31006, Pamplona, Spain;Universidad Pública de Navarra, Campus Arrosadia s/n, 31006, Pamplona, Spain
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

In this paper we consider aggregation operators satisfying non-decreasingness and some specific boundary conditions. We then analyze some properties of such a family of aggregation operators, introducing the semiautoduality condition, which is weaker than the standard autoduality condition (i.e., the standard self De Morgan identity). Particular families of aggregation operators will appear depending on the context.