Further results on L-valued filters |
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| Affiliation: | 1. CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal;2. CIDMA, Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal;1. Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA;2. Department of Computer Science, Kent State University, Kent, OH 44242, USA;3. College of Science, Technology, Engineering, Mathematics (STEM), Youngstown State University, Youngstown, OH 44555-3347, USA |
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| Abstract: | In this paper, we explore the behavior with respect to direct and inverse images of the relations between the different generalizations of filter notion studied in [Gutiérrez García J, de Prada Vicente MA. Characteristic values of ⊤-filters. Fuzzy Sets Syst 2005;56:55–67]. Also, we give sufficient conditions for the existence of an upper bound for those generalizations of filters. |
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