Journal
SOFT COMPUTING
Volume 19, Issue 8, Pages 2211-2224Publisher
SPRINGER
DOI: 10.1007/s00500-014-1403-9
Keywords
Multi-attribute group decision-making; Intuitionistic trapezoid fuzzy linguistic aggregation operators; Intuitionistic trapezoid fuzzy linguistic generalized aggregation operators
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Funding
- Program for New Century Excellent Talents in University [NCET-13-0037]
- Natural Science Foundation of China [70972007, 71271049]
- Beijing Municipal Natural Science Foundation [9102015, 9133020]
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With respect to multi-attribute group decision-making (MAGDM) problems in which the attribute values take form of intuitionistic trapezoid fuzzy linguistic numbers, some new aggregation operators are proposed, such as intuitionistic trapezoid fuzzy linguistic weighted geometric operator, intuitionistic trapezoid fuzzy linguistic ordered weighted geometric operator, intuitionistic trapezoid fuzzy linguistic hybrid weighted geometric operator, intuitionistic trapezoid fuzzy linguistic generalized weighted averaging operator, intuitionistic trapezoid fuzzy linguistic generalized ordered weighted averaging operator and intuitionistic trapezoid fuzzy linguistic generalized hybrid weighted averaging operator are proposed at first. Then, some desirable properties of these proposed operators are discussed, including monotonicity, idempotency, commutativity and boundedness. Furthermore, based on the proposed operators, some novel methods are developed to solve MAGDM problems with intuitionistic trapezoid fuzzy linguistic information under different cases. Finally, an illustrative example of emergency response capability evaluation is provided to illustrate the applicability and effectiveness of the proposed methods.
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