Journal
CYBERNETICS AND SYSTEMS
Volume 45, Issue 5, Pages 418-438Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01969722.2014.929348
Keywords
intuitionistic uncertain linguistic Bonferroni OWA (IULBOWA) operator; intuitionistic uncertain linguistic variables; intuitionistic uncertain linguistic weighted Bonferroni OWA (IULWBOWA) operator; multiple attribute decision making
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Funding
- National Natural Science Foundation of China [71271124]
- Humanities and Social Sciences Research Project of Ministry of Education of China [13YJC630104]
- Shandong Provincial Social Science Planning Project [13BGLJ10]
- Graduate education innovation projects in Shandong Province [SDYY12065]
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With respect to multiple attribute decision making (MADM) problems, in which attribute values take the form of intuitionistic uncertain linguistic information, a new decision-making method based on the intuitionistic uncertain linguistic weighted Bonferroni OWA operator is developed. First, the score function, accuracy function, and comparative method of the intuitionistic uncertain linguistic numbers are introduced. Then, an intuitionistic uncertain linguistic Bonferroni OWA (IULBOWA) operator and an intuitionistic uncertain linguistic weighted Bonferroni OWA (IULWBOWA) operator are developed. Furthermore, some properties of the IULBOWA and IULWBOWA operators, such as commutativity, idempotency, monotonicity, and boundedness, are discussed. At the same time, some special cases of these operators are analyzed. Based on the IULWBOWA operator, the multiple attribute decision-making method with intuitionistic uncertain linguistic information is proposed. Finally, an illustrative example is given to illustrate the decision-making steps and to demonstrate its practicality and effectiveness.
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