Discrete bipolar pseudo-integrals

被引:7
|
作者
Strboja, Mirjana [1 ]
Pap, Endre [2 ]
Mihailovic, Biljana [3 ]
机构
[1] Univ Novi Sad, Fac Sci, Dept Math & Informat, Trg Dositeja Obradovica 3, Novi Sad 21000, Serbia
[2] Singidunum Univ, Danijelova 29, Belgrade 11000, Serbia
[3] Univ Novi Sad, Fac Tech Sci, Trg Dositeja Obradovica 6, Novi Sad 21000, Serbia
关键词
Bi-capacity; Symmetric pseudo-operations; Bipolar pseudo-integral; Fatou type lemma; CHOQUET INTEGRALS; BI-CAPACITIES; LIMIT;
D O I
10.1016/j.ins.2018.07.075
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In the authors paper (Strboja et al., 2016) On the notion of the bipolar pseudo-integral has been introduced. This paper extends investigations related to this new type of bipolar integrals defined with respect to circle plus-decomposable bi-capacities. We consider the main properties of the discrete bipolar pseudo-integral. A characterization theorem for the discrete bipolar pseudo-integral is proven. Monotone convergence theorems and the Fatou type lemma for the discrete bipolar pseudo-integral are considered. In order to illustrate obtained results, many interesting examples are provided. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:72 / 88
页数:17
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