Weighted minimum and maximun operations in fuzzy sets theory
Information Sciences: an International Journal
Characterization of weighted maximum and some related operations
Information Sciences—Intelligent Systems: An International Journal
On Sugeno integral as an aggregation function
Fuzzy Sets and Systems
Lattice functions and equations
Lattice functions and equations
System reliability and weighted lattice polynomials
Probability in the Engineering and Informational Sciences
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
IEEE Transactions on Fuzzy Systems
Explicit descriptions of bisymmetric Sugeno integrals
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Sugeno utility functions I: axiomatizations
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
Invariant functionals on completely distributive lattices
Fuzzy Sets and Systems
Pseudo-polynomial functions over finite distributive lattices
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
Semantics of non-deterministic possibility computation
Fuzzy Sets and Systems
OWA operators defined on complete lattices
Fuzzy Sets and Systems
Pseudo-polynomial functions over finite distributive lattices
Fuzzy Sets and Systems
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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.