2026-04-07T13:56:32.969Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:6759 2019-04-21T08:20:31Z 2

Jensen type inequality for the bipolar pseudo-integrals 2019 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/6759 https://www.sciencedirect.com/science/article/pii/S0165011418306389 M. Todorov M. Štrboja E. Pap B. Mihailović The main purpose of this paper is to establish conditions under which the Jensen type inequality for the discrete bipolar pseudo-integral is valid. Besides, we extend investigations of the properties of the bipolar pseudo-integral. The observations concern the discrete bipolar pseudo-integrals based on the following three canonical cases of two binary symmetric operations: in the first case they are generated by an odd, strictly increasing and continuous function, in the remaining two cases a symmetric-addition is the symmetric maximum, while in the second case the corresponding pseudo-multiplication is a non-idempotent operation, and in the third case it is the symmetric minimum. article 10.1016/j.fss.2019.04.015 1 20 0165-0114 FUZZY SETS AND SYSTEMS