On the properties of the \(F\)-partial order and the equivalence of nullnorms

DOI10.1016/j.fss.2017.11.008zbMath1397.03063OpenAlexW2767531872MaRDI QIDQ1795213

Emel Aşıcı

Publication date: 16 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.fss.2017.11.008

zbMATH Keywords

equivalencepartial ordernullnorm

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of fuzzy sets, etc. (03E72)

Related Items (14)

Equivalence classes of uninorms ⋮ Maximal chains on the interval \([0,1\) with respect to t-norm-partial orders and uninorm-partial orders] ⋮ Alternative approaches for generating uninorms on bounded lattices ⋮ Uninorms on bounded lattices with the underlying t-norms and t-conorms ⋮ Some further results about uninorms on bounded lattices ⋮ Nullnorms on bounded lattices derived from t-norms and t-conorms ⋮ Construction methods for idempotent nullnorms on bounded lattices ⋮ An extension of the ordering based on nullnorms ⋮ Some methods to obtain t-norms and t-conorms on bounded lattices ⋮ Some results about nullnorms on bounded lattices ⋮ New methods to construct uninorms on bounded lattices ⋮ On the structure of uninorms on bounded lattices ⋮ Binary relations induced from quasi-overlap functions and quasi-grouping functions on a bounded lattice ⋮ Unnamed Item

Cites Work

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• Some notes on \(T\)-partial order
• Order-equivalent triangular norms
• On the distributivity of uninorms over nullnorms
• The distributivity condition for uninorms and t-operators
• Statistical metric spaces
• Idempotent nullnorms on bounded lattices
• Discrete t-norms and operations on extended multisets
• Cancellativity properties for t-norms and t-subnorms
• Triangular norms on product lattices
• 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
• Nullnorms on bounded lattices
• Ordering based on uninorms
• A characterization of idempotent nullnorms
• Logic-based fuzzy networks: a study in system modeling with triangular norms and uninorms
• A new way to extend t-norms, t-conorms and negations
• On ordinal sums of triangular norms on bounded lattices
• On the \(T\)-partial order and properties
• Incomparability with respect to the triangular order
• A Natural Partial Order for Semigroups
• t–OPERATORS
• The functional equations of Frank and Alsina for uninorms and nullnorms

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