Journal
FUZZY SETS AND SYSTEMS
Volume 161, Issue 5, Pages 694-707Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2009.10.008
Keywords
Discrete Sugeno integral; Distributive lattice; Lattice polynomial function; Normal form; Median decomposition; Homogeneity; Functional equation
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We give several characterizations of discrete Sugeno integrals over bounded distributive lattices, as particular cases of lattice polynomial functions, that is. functions which can be represented in the language of bounded lattices using variables and constants. We also consider the subclass of term functions as well as the classes of symmetric polynomial functions and weighted infimum and supremum functions, and present their characterizations, accordingly. Moreover, we discuss normal form representations of these functions. (C) 2009 Elsevier B.V. All rights reserved.
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