Journal
SCIENTIFIC WORLD JOURNAL
Volume -, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2014/560582
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Funding
- Key Program of National Natural Science Foundation of China [71231003]
- National Natural Science Foundation of China [71171055, 71101033, 71001015]
- Program for New Century Excellent Talents in University (the Ministry of Education of China) [NCET-10-0020]
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20113514110009]
- Science and Technology Innovation Team Cultivation Plan of Colleges and Universities in Fujian Province
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The aim of this paper is to develop a method for ranking trapezoidal intuitionistic fuzzy numbers (TrIFNs) in the process of decision making in the intuitionistic fuzzy environment. Firstly, the concept of TrIFNs is introduced. Arithmetic operations and cut sets over TrIFNs are investigated. Then, the values and ambiguities of the membership degree and the nonmembership degree for TrIFNs are defined as well as the value-index and ambiguity-index. Finally, a value and ambiguity-based ranking method is developed and applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes are expressed using TrIFNs. A numerical example is examined to demonstrate the implementation process and applicability of the method proposed in this paper. Furthermore, comparison analysis of the proposed method is conducted to show its advantages over other similar methods.
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