On the distributivity equations between uni-nullnorms and overlap (grouping) functions
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Publication:2035384
DOI10.1016/j.fss.2019.12.005zbMath1464.03078OpenAlexW2996754017WikidataQ126591432 ScholiaQ126591432MaRDI QIDQ2035384
Ting-hai Zhang, Feng Qin, Wen-huang Li
Publication date: 24 June 2021
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2019.12.005
uninormsgrouping functionoverlap functiondistributivity equationuni-nullnormsfuzzy connectives and aggregation functions
Related Items (21)
Conditional distributivity for semi-t-operators over uninorms ⋮ Distributivity characterization of idempotent uni-nullnorms and overlap or grouping functions ⋮ Discrete overlap functions: basic properties and constructions ⋮ Conditional distributivity of continuous semi-t-operators over disjunctive uninorms with continuous underlying t-norms and t-conorms ⋮ On the distributivity equations between null-uninorms and overlap (grouping) functions ⋮ On ordinal sums of overlap and grouping functions on complete lattices ⋮ New extensions of quasi-overlap functions and their generalized forms on bounded posets via \(\diamond\)-operators ⋮ New results on ordinal sum implications based on ordinal sum of overlap functions ⋮ Constructions of quasi-overlap functions and their generalized forms on bounded partially ordered sets ⋮ Constructing overlap and grouping functions on complete lattices by means of complete homomorphisms ⋮ Construction methods for the smallest and largest uni-nullnorms on bounded lattices ⋮ Pre-(quasi-)overlap functions on bounded posets ⋮ On ordinal sums of countably many \(C_R\)- and \(C_L\)-overlap functions on complete lattices ⋮ \(\mathscr{QL}\)-(operators) implications derived from quasi-overlap (quasi-grouping) functions and negations on bounded lattices ⋮ Distributivity of a uni-nullnorm with continuous and Archimedean underlying T-norms and T-conorms over an arbitrary uninorm ⋮ On discrete quasi-overlap functions ⋮ On \((I_O,O)\)-fuzzy rough sets based on overlap functions ⋮ Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm ⋮ Migrativity properties of uninorms over 2-uninorms ⋮ Extension constructions of quasi-overlap functions and their derivative concepts on function spaces ⋮ ℐ𝒢,𝒩-Implications Induced from Quasi-Grouping Functions and Negations on Bounded Lattices
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