Some results about nullnorms on bounded lattices

DOI10.1016/j.fss.2019.03.010zbMath1465.03081OpenAlexW2923674178MaRDI QIDQ2042885

Gül Deniz Çaylı

Publication date: 22 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.fss.2019.03.010

zbMATH Keywords

bounded latticet-normt-conormnullnormidempotent nullnormzero element

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Complete lattices, completions (06B23)

Related Items (12)

Generating nullnorms on some special classes of bounded lattices via closure and interior operators ⋮ Representation of nullnorms on bounded lattices ⋮ Characterizing idempotent nullnorms on a special class of bounded lattices ⋮ New extensions of quasi-overlap functions and their generalized forms on bounded posets via \(\diamond\)-operators ⋮ 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 ⋮ Constructions of quasi-overlap functions and their generalized forms on bounded partially ordered sets ⋮ A representation of nullnorms on a bounded lattice in terms of beam operations ⋮ A characterization of idempotent nullnorms on bounded lattices ⋮ Construction of nullnorms on some special classes of bounded lattices ⋮ Idempotent uninorms and nullnorms on bounded posets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distributivity between semi-t-operators and semi-nullnorms
• On the distributivity of uninorms over nullnorms
• The distributivity condition for uninorms and t-operators
• Statistical metric spaces
• Distributivity between uninorms and nullnorms
• A review of fuzzy set aggregation connectives
• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Triangular norms
• The modularity condition for uninorms and t-operators
• An order induced by nullnorms and its properties
• On a new class of t-norms and t-conorms on bounded lattices
• On the conditional distributivity of nullnorms over uninorms
• Nullnorms on bounded lattices
• On the properties of the \(F\)-partial order and the equivalence of nullnorms
• A characterization of idempotent nullnorms
• On the structure of uninorms on bounded lattices
• The distributive equations for idempotent uninorms and nullnorms
• t–OPERATORS
• Aggregation operators with annihilator
• Statistical Metrics
• The functional equations of Frank and Alsina for uninorms and nullnorms

This page was built for publication: Some results about nullnorms on bounded lattices