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Choquet integrals of weighted triangular fuzzy linguistic information and their applications to multiple attribute decision making
- Source :
- Journal of Business Economics and Management, Vol 15, Iss 5 (2014)
- Publication Year :
- 2014
- Publisher :
- Vilnius Gediminas Technical University, 2014.
-
Abstract
- We investigate the multiple attribute decision making problems in which attribute values take the form of triangular fuzzy linguistic information. Firstly, the definition and some operational laws of triangular fuzzy linguistic are introduced. Then, we have developed three fuzzy linguistic Choquet integral aggregation operators: fuzzy linguistic choquet ordered averaging operator, fuzzy linguistic choquet ordered geometric operator and fuzzy linguistic choquet ordered harmonic mean operator. The prominent characteristic of the operators is that they cannot only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have studied some desirable properties of these operators, such as commutativity, idempotency and monotonicity, and applied these operators to multiple attribute decision making with triangular fuzzy linguistic information. Finally an illustrative example has been given to show the developed method.
- Subjects :
- multiple attribute decision making (MADM)
operational laws
triangular fuzzy linguistic variables
fuzzy linguistic choquet ordered averaging (FLCOA) operator
fuzzy linguistic choquet ordered geometric (FLCOG) operator
fuzzy linguistic choquet ordered harmonic mean (FLCOHM) operator
Business
HF5001-6182
Subjects
Details
- Language :
- English
- ISSN :
- 16111699 and 20294433
- Volume :
- 15
- Issue :
- 5
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Business Economics and Management
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.8aab3eafed9147c682d0bc5a4bf9f98c
- Document Type :
- article
- Full Text :
- https://doi.org/10.3846/16111699.2013.773940