A characterization of the ordering of continuous \(t\)-norms

DOI10.1016/0165-0114(95)00407-6zbMath0914.04006OpenAlexW1992369290MaRDI QIDQ1278849

Endre Pap, Radko Mesiar, Erich Peter Klement

Publication date: 28 February 1999

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

Full work available at URL: https://doi.org/10.1016/0165-0114(95)00407-6

zbMATH Keywords

ordinal sumadditive generatorcomparison of \(t\)-normscontinuous \(t\)-norms

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (18)

Triangular norms. Position paper III: Continuous t-norms ⋮ \(T\)-sum of sigmoid-shaped fuzzy intervals ⋮ The structure of continuous uni-norms ⋮ Common fixed point theorems in intuitionistic fuzzy metric spaces ⋮ T-sum of Bell-shaped fuzzy intervals ⋮ Common fixed point theorems for families of compatible mappings in intuitionistic fuzzy metric spaces ⋮ Interval additive generators of interval t-norms and interval t-conorms ⋮ Aggregation operators: Ordering and bounds ⋮ Unnamed Item ⋮ Fixed points in intuitionistic fuzzy metric spaces ⋮ The maximal distance between imprecise point objects ⋮ Continuous Archimedean t-norms and their bounds ⋮ Balanced fuzzy sets ⋮ On shape-preserving additions of fuzzy intervals ⋮ Unnamed Item ⋮ A note on a nilpotent lower bound of nilpotent triangular norms ⋮ An approach to the selection of fuzzy connectives in terms of their additive generators ⋮ On the order of triangular norms -- comments on ``A triangular norm hierarchy by E. Cretu

Cites Work

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• On the structure of semi-groups on a compact manifold with boundary
• On a generalized Minkowski inequality and its relation to dominates for t-norms
• Characterizing dominates on a family of triangular norms
• On a general class of fuzzy connectives
• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• Construction of fuzzy sigma-algebras using triangular norms
• Triangular norm-based measures and their Markov kernel representation
• Fundamental triangular norm based tribes and measures
• Approximate solutions of fuzzy relational equations and a characterization of t-norms that define metrics for fuzzy sets

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