Conditional distributivity equation of semi-uninorms over uninorms

DOI10.1016/J.IJAR.2021.12.006OpenAlexW4200310392MaRDI QIDQ2076990

Feng Qin, Yun-Mao Zhang

Publication date: 22 February 2022

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2021.12.006

zbMATH Keywords

uninormsconditional distributivitycontinuous semi-uninormsrepresentable semi-uninorms

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (1)

A unified way to studies of t-seminorms, t-semiconorms and semi-uninorms on a complete lattice in terms of behaviour operations

Cites Work

• Semi-uninorms and implications on a complete lattice
• Distributivity and conditional distributivity of semi-uninorms over continuous t-conorms and t-norms
• On the distributivity of uninorms over nullnorms
• The distributivity condition for uninorms and t-operators
• Distributivity and conditional distributivity of a uninorm with continuous underlying operators over a continuous t-conorm
• Distributivity between uninorms and nullnorms
• Uninorm aggregation operators
• Triangular norms
• Distributivity between semi-uninorms and semi-t-operators
• On distributive laws between 2-uninorms and overlap (grouping) functions
• The distributivity property of increasing binary operations
• The distributive equations for idempotent uninorms and nullnorms
• Distributivity and conditional distributivity of a uninorm and a continuous t-conorm
• The Distributivity Equations of Semi-Uninorms
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