Medians and nullnorms on bounded lattices

DOI10.1016/j.fss.2015.05.015zbMath1374.03044OpenAlexW611010371MaRDI QIDQ1677831

Funda Karaçal, Radko Mesiar, Mehmet Akif İnce

Publication date: 13 November 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2015.05.015

zbMATH Keywords

mediantriangular normtriangular conormnullnormidempotent nullnormdistributive bounded lattice

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Logical aspects of lattices and related structures (03G10)

Related Items (17)

Semi-t-operators and idempotent semi-t-operators on bounded lattices ⋮ New constructions of nullnorms on bounded lattices ⋮ Nullnorms on bounded lattices constructed by means of closure and interior operators ⋮ A complete representation theorem for nullnorms on bounded lattices with ample illustrations ⋮ Methods for obtaining uni-nullnorms and null-uninorms on bounded lattices ⋮ A representation of nullnorms on a bounded lattice in terms of beam operations ⋮ Ordinal sums: from triangular norms to bi- and multivariate copulas ⋮ A characterization of idempotent nullnorms on bounded lattices ⋮ Construction of nullnorms on bounded lattices and an equivalence relation on nullnorms ⋮ Constructions of overlap functions on bounded lattices ⋮ Semi-t-operators on bounded lattices ⋮ Constructing uninorms via closure operators on a bounded lattice ⋮ On the structure of semi-t-operators on bounded lattices ⋮ Unnamed Item ⋮ Uni-nullnorms on bounded lattices ⋮ Idempotent nullnorms on bounded lattices ⋮ A principal topology obtained from uninorms

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