Discrete bipolar pseudo-integrals

Časopis: Fuzzy Sets and Systems

Volume 355

ISSN: 0165-0114

DOI: 10.1016/j.fss.2018.06.010

Stranice: 67-82

Link: ttps://ezproxy.nb.rs:2129/S0020025517302967/1-s2.0-S0020025517302967-main.pdf?_tid=e5f91b12-186f-4e34-9400-00df344259e2&acdnat=1537085974_a2e59b8e883e28b332ee6de8a2d07226

Apstrakt:
In this paper, a transformation of the pseudo-integral into another pseudo-integral is considered. Using the transformed pseudo-integral, monotone convergence theorems for the pseudo-integral are obtained. Based on the reverse Fatou’s lemma for the pseudo-integral, the dominated convergence-type theorem is proven.
Ključne reči: Pseudo-addition; Pseudo-multiplication; Pseudo-integral; Monotone convergence; Dominated convergence