Abstract
The concept of intuitionistic fuzzy sets (IFSs) is a generalization of fuzzy sets (Zadeh 1965) and was first introduced by Atanassov (1986). The IFS, characterized by membership function, non-membership function, and hesitancy (indeterminancy) function, can depict the fuzzy character of data more comprehensively and is more useful in dealing with vagueness and uncertainty.
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References
Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96
Boran FE, Genç S, Kurt M, Akay D (2009) A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst Appl 36(8):11363–11368
Chang KH, Cheng CH (2010) A risk assessment methodology using intuitionistic fuzzy set in FMEA. Int J Syst Sci 41(12):1457–1471
Chang KH, Cheng CH (2011) Evaluating the risk of failure using the fuzzy OWA and DEMATEL method. J Intell Manuf 22(2):113–129
Chin KS, Wang YM, Poon GKK, Yang JB (2009) Failure mode and effects analysis using a group-based evidential reasoning approach. Comput Oper Res 36(6):1768–1779
Fullér R, Majlender P (2001) An analytic approach for obtaining maximal entropy OWA operator weights. Fuzzy Sets Syst 124(1):53–57
Liu F, Shang YF, Pan LH (2015) A modified TOPSIS method for obtaining the associated weights of the OWA-type operators. Int J Intell Syst 30(10):1101–1116
Liu HC, Liu L, Liu N (2013) Risk evaluation approaches in failure mode and effects analysis: a literature review. Expert Syst Appl 40(2):828–838
Liu HC, Liu L, Li P (2014) Failure mode and effects analysis using intuitionistic fuzzy hybrid weighted Euclidean distance operator. Int J Syst Sci 45(10):2012–2030
Pillay A, Wang J (2003) Modified failure mode and effects analysis using approximate reasoning. Reliab Eng Syst Saf 79(1):69–85
Wang YM, Chin KS, Poon GKK, Yang JB (2009) Risk evaluation in failure mode and effects analysis using fuzzy weighted geometric mean. Expert Syst Appl 36(2):1195–1207
Xu ZS (2005) An overview of methods for determining OWA weights. Int J Intell Syst 20(8):843–865
Xu ZS (2007a) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187
Xu ZS (2007b) Models for multiple attribute decision making with intuitionistic fuzzy information. Int J Uncertainty Fuzziness Knowl Based Syst 15(3):285
Xu ZS (2010) A deviation-based approach to intuitionistic fuzzy multiple attribute group decision making. Group Decis Negot 19(1):57–76
Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433
Yager RR (1988) On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans Syst Man Cybern 18(1):183–190
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353
Zeng S, Su W (2011) Intuitionistic fuzzy ordered weighted distance operator. Knowl-Based Syst 24(8):1224–1232
Zhang ZF, Chu XN (2011) Risk prioritization in failure mode and effects analysis under uncertainty. Expert Syst Appl 38(1):206–214
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Liu, HC. (2016). FMEA Using Intuitionistic Fuzzy Hybrid Weighted Euclidean Distance Operator. In: FMEA Using Uncertainty Theories and MCDM Methods. Springer, Singapore. https://doi.org/10.1007/978-981-10-1466-6_3
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DOI: https://doi.org/10.1007/978-981-10-1466-6_3
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