Probability and convexity concepts are not antagonistic

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An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs (2014, methodology): “Also comparisons have been made between probabilistic and the alternative methods [34–36] or their combination has been explored [37–40].”
Hybrid reliability analysis of structures with multi-source uncertainties (2013, methodology): “[14,20,21] suggested a non-probabilistic model of convex reliability using the partial order relation of the superscribed hyperrectangle or hyper-ellipsoid.”
Reliability-based design optimization under mixture of random, interval and convex uncertainties (2016, background): “[48]); Y α 1 denotes the value of Y1 when it satisfies D1(x, Y1) = 1, i.”
Discussions on non-probabilistic convex modelling for uncertain problems (2017, methodology): “Also, the convex model approach presently has been applied in various areas in structural mechanics, such as finite element analysis [26, 27], non-probabilistic reliability analysis [5, 18, 28-31], uncertain optimization [32-37], hybrid reliability analysis [38-41], etc.”