INTEGRABILITY OF AN INTERVAL-VALUED MULTIFUNCTION WITH RESPECT TO AN INTERVAL-VALUED SET MULTIFUNCTION

نویسندگان
Pap, Endre ID 1
Iosif, Alina ID 2
Gavrilut, Alina ID 3

1 Singidunum University, 11000 Belgrade, SERBIA, Obuda University, 1034 Budapest, Hungary

2 Petroleum-Gas University of Ploiesti, Department of Computer Science, Information Technology, Mathematics and Physics, Bd. Bucuresti, No. 39, Ploiesti 100680, Romania

3 University "Alexandru Ioan Cuza", Faculty of Mathematics, Bd.Carol I, No. 11, Iasi, 700506, Romania

doi
10.22111/ijfs.2018.3949
چکیده

Intervals are related to the representation of uncertainty. In this sense, we introduce an integral of Gould type for an interval-valued multifunction relative to an interval-valued set multifunction, with respect to Guo and Zhang order relation. Classicaland specific properties of this new type of integral are established and several examples and applications from multicriteria decision making problems are provided.

کلیدواژه‌ها
Gould integral, Interval valued (set) multifunction, Submeasure, Multisubmeasure, Non-additive set function, Monotone measure