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

Časopis: Iranian Journal of Fuzzy Systems

Volume, no: 15 , 3

ISSN: 1735-0654

DOI: 10.22111/IJFS.2018.3949

Stranice: 47-63

Link: http://ijfs.usb.ac.ir/article_3949_93a16395275eb31ad9a0b60e265b53a6.pdf

Apstrakt:
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. Classical and specific properties of this new type of integral are established and several examples and applications from multicriteria decision making problems are provided.
Ključne reči: Interval valued (set) multifunction; Submeasure; Multisubmeasure; Non-additive set function; Monotone measure