Uniforms continuous on [0, e[(2) U]e, 1](2) are discussed. Archimedean uninorms continuous and cancellative on ]0, e[(2) U]e, 1[(2) are characterized and related non-Archimedean uninorms are also discussed. The problem when is the border-continuous projection of a t norm associative, i.e., a t-subnorm is also answered. (C) 2017 Elsevier Inc. All rights reserved.
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St Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, RussiaSt Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, Russia
Baturo, V. V.
Lukashov, S. S.
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St Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, RussiaSt Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, Russia
Lukashov, S. S.
Poretsky, S. A.
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St Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, RussiaSt Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, Russia
Poretsky, S. A.
Pravilov, A. M.
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St Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, RussiaSt Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, Russia
Pravilov, A. M.
Vasyutinskii, O. S.
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Ioffe Inst, St Petersburg 194021, Russia
Peter Great St Petersburg Polytech Univ, St Petersburg 195251, RussiaSt Petersburg State Univ, Fac Phys, Fock Inst Phys, St Petersburg 198504, Russia