The modularity equation with Mayor's aggregation operators and semi-t-operators

DOI10.1016/j.fss.2020.01.010zbMath1464.03079OpenAlexW3002324204WikidataQ126308189 ScholiaQ126308189MaRDI QIDQ2035387

Hua-Wen Liu, Hang Zhan, Yuan-Yuan Zhao

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.2020.01.010

zbMATH Keywords

fuzzy connectivessemi-t-operatorsmodularity equationMayor's aggregation operators

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (1)

The modularity equation for semi-t-operators and T-uninorms

Cites Work

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• Distributivity between semi-t-operators and semi-nullnorms
• Distributivity and conditional distributivity of semi-uninorms over continuous t-conorms and t-norms
• An extension of the migrative property for triangular norms
• Uninorm solutions and (or) nullnorm solutions to the modularity condition equations
• Migrative t-norms with respect to continuous ordinal sums
• On the \(\alpha \)-migrativity of semicopulas, quasi-copulas, and copulas
• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Triangular norms
• On the associativity functional equation
• The modularity condition for uninorms and t-operators
• The modularity condition for semi-t-operators and semi-uninorms
• The modularity law in some classes of aggregation operators
• Migrativity property for uninorms and semi t-operators
• The modularity condition for semi-t-operators
• Distributivity between semi-t-operators and Mayor's aggregation operators
• On properties of uninorms with underlying t-norm and t-conorm given as ordinal sums
• The modularity condition for uninorms revisited
• The modularity condition for overlap and grouping functions
• Absorbent tuples of aggregation operators
• On continuous triangular norms that are migrative
• Some implications of the restricted distributivity of aggregation operators with absorbing elements for utility theory
• The migrativity equation for uninorms revisited
• On the migrativity of triangular subnorms
• Migrative Property for Nullnorms
• t–OPERATORS
• The functional equations of Frank and Alsina for uninorms and nullnorms
• Aggregation operators. New trends and applications

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