Bentkowska, Urszula Properties of extremal families of MN-convex (MN-concave) functions / Urszula Bentkowska ... [et al.]. -- MN-convex and MN-concave functions are examined and compared for particular cases of M and N. Characteri- zation of pairs M,N for the family of MN-convex (MN-concave) functions consisting of all functions and partial characterization of pairs M,N for the family of MN-convex functions consisting of all constant functions will be presented. The condition of MN-convexity was proposed by Aumann in 1933. It was convexity with respect to arbitrary binary means M and N (abbreviated to MN-convexity). Recently many authors have considered this notion with suitable pairs of means. Here aggregation functions M,N will be used for this type of convexity and concavity

In Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. -- Amsterdam : Elsevier B.V., 2017. -- ISSN 0165-0114. -- ISSN 1872-6801. -- Vol. 325 (2017), pp. 47-57

1. convex functions 2. aggregation functions 3. concave functions

I. Díaz, Susana
II. Drewniak, Józef
III. Janiš, Vladimír, 1963-
IV. Montes, Susana
V. Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. -- Vol. 325 (2017), pp. 47-57

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