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A pseudolinear function is one that is both pseudoconvex and pseudoconcave.
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Source: T. Rapcsak, On pseudolinear functions, European Journal of Operational Research, Volume 50, Issue 3, 15 February 1991, Pages 353-360, ISSN 0377-2217, DOI: 10.1016/0377-2217(91)90267-Y.