\(\vee\)-distributive \(n\)-ary semicopulas on lattices

DOI10.1016/J.FSS.2015.04.008zbMath1477.06013OpenAlexW1972942689MaRDI QIDQ1699335

Djavvat Khadjiev, Funda Karaçal

Publication date: 19 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.fss.2015.04.008

zbMATH Keywords

triangular normaggregation functionsemicopula\(l\)-groupoid, distributive aggregation function

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Structure theory of lattices (06B05)

Cites Work

• Internal direct product of integral \(\vee\)-distributive binary aggregation functions and the classification of all integral \(\vee\)-distributive binary aggregation functions of length 3
• Aggregation functions on bounded partially ordered sets and their classification
• Pairwise comaximal elements and the classification of all \(\vee \)-distributive triangular norms of length 3
• Residual operations of left and right uninorms on a complete lattice
• Infinitely \(\vee\)-distributive t-norms on complete lattices and pseudo-complements
• Two families of fuzzy integrals
• Triangular norms on product lattices
• Pseudo-t-norms and implication operators: Direct products and direct product decompositions
• On the direct decomposability of t-norms on product lattices
• Triangular norms
• \(\vee\)-distributive and infinitely \(\vee\)-distributive t-norms on complete lattices
• Pseudo-t-norms and implication operators on a complete Brouwerian lattice
• Absorbent tuples of aggregation operators
• Meta-theorems on inequalities for scalar fuzzy set cardinalities
• Copula and semicopula transforms
• Completely injective semigroups with central idempotents
• Aggregation operators. New trends and applications
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