2026-05-05T00:45:50.056Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:11864 2026-03-25T16:30:59Z 2

On the fuzzy entropies defined by fuzzy integrals 2026 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/11864 https://doi.org/10.1016/j.fss.2026.109864 R. Lv R. Mesiar E. Pap J. Li In this paper, some new properties of the Sugeno integral and the seminormed fuzzy integrals are shown, and by means of these properties, we investigate the entropy of fuzzy sets (fuzzy entropy) in the sense of De Luca and Termini on continuous domain. In the framework of fuzzy measures, we present a set of necessary and sufficient conditions of the fuzzy entropy defined by Sugeno integral. We provide a counterexample to show that the previously presented results regarding the fuzzy entropies defined by fuzzy integrals are incomplete. Several calculation examples of the fuzzy entropy defined by Sugeno integral are also demonstrated. The above results are extended to the case of the seminormed fuzzy integrals article https://doi.org/10.1016/j.fss.2026.109864 534 109864 1 14 0165-0114 FUZZY SETS AND SYSTEMS