Journal
INFORMATION SCIENCES
Volume 251, Issue -, Pages 79-95Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2013.06.033
Keywords
Arithmetic operations; Fault-tree analysis (FTA); Logic operators; Triangular intuitionistic fuzzy numbers (TIFNs)
Categories
Funding
- National Natural Science Foundation, P.R. China [71271218, 71221061]
- MOE Layout Foundation of Humanities and Social Sciences [11YJCZH227]
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Triangular intuitionistic fuzzy numbers (TIFNs) are one of the extensions of intuitionistic fuzzy sets and triangular fuzzy numbers, and they have been applied to fault-tree analysis in many studies. The arithmetic operations and logic operations of TIFNs have been addressed in relevant studies. However, the arithmetic operations of TIFNs in these studies all have defects. Based on information from the existing studies, this paper proposes new arithmetic operations and logic operators for TIFNs and applies them to fault analysis of a printed circuit board assembly system. The proposed operations are then compared to the existing ones to confirm their feasibility and rationality. (c) 2013 Elsevier Inc. All rights reserved.
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