Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 28, Issue 6, Pages 2443-2455Publisher
IOS PRESS
DOI: 10.3233/IFS-141524
Keywords
Neutrosophic set (NS); order relation; fuzzy measure; Choquet integral; multi-criteria decision making (MCDM)
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Funding
- Ministry of Education in China Project of Humanities and Social Sciences [14YJC630114]
- National Natural Science Foundation of China [71401003, 70121110]
- Bases for Scientific Research-Science and Technology Innovation Platform-Modern Business Features [PXM2015014213000063]
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In this paper, the Choquet integral and the interval neutrosophic set theory are combined to make multi-criteria decision for problems under neutrosophic fuzzy environment. Firstly, a ranking index is proposed according to its geometrical structure, and an approach for comparing two interval neutrosophic numbers is given. Then, a <=(L) implied operation-invariant total order which satisfies order-preserving condition is proposed. Secondly, an interval neutrosophic number Choquet integral (INNCI) operator is established and a detailed discussion on its aggregation properties is presented. In addition, the procedure of multi-criteria decision making based on INNCI operator is given. Finally, a practical example for selecting the third party logistics providers is provided to illustrate the feasibility of the developed approach.
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