A Gould type integral of fuzzy functions

被引：8
|
作者：
Iosif, Alina [1 ]
Gavrilut, Alina [2 ]
机构：
[1] Petr Gas Univ Ploiesti, Dept Comp Sci Informat Technol Math & Phys, Bd Bucuresti 39, Ploiesti 100680, Romania
[2] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol 1,11, Iasi 700506, Romania
来源：
FUZZY SETS AND SYSTEMS | 2019年 / 355卷
关键词：
Fuzzy-valued function; Gould integral; Uncertainty; Non-additive set function; DECISION-MAKING; VALUED MEASURES; MULTISUBMEASURE; RESPECT; SETS;
D O I：
10.1016/j.fss.2017.08.003
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, a new type of integral of a fuzzy-valued function relative to a non-negative set function is proposed as a new useful tool in modeling uncertainties. Various properties of this new type of integral are established concerning the behavior with respect to the fuzzy function or to the set function. Several examples linking our integral with Birkhoff and Lebesgue integrals are provided. Also, problems related to atomicity are addressed. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：26 / 41
页数：16
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