Distributivity equations and Mayor's aggregation operators

Abstract

The focus of this paper are distributivity equations involving the binary aggregation operators on the unit interval [0, 1] with either absorbing or neutral element from the open interval (0, 1), and the Mayor's aggregation operators from [28]. In the second part of this paper, problem is extended to aggregation operators that have neither neutral nor absorbing element. © 2013 Elsevier B.V. All rights reserved.