Abstract
Multiple attribute decision making (MADM) problem is a common issue and to take targeted measures in poverty alleviation (TPA) is one of the typical MADM problem. Aggregation operator, which is significant in MADM problem, attracts many attentions in the intuitionistic fuzzy linguistic environment. In this paper, we introduce the intuitionistic fuzzy linguistic induced generalized ordered weighted averaging (IFLIGOWA) operator to provide a wide range of operators to aggregate the intuitionistic fuzzy linguistic information. Then, the new intuitionistic fuzzy linguistic entropy which takes all schemes into account is presented. Subsequently, we propose the intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging (IFLIGHWA) operator whose weight vector is associated with both entropic weights and subjective weights. The properties of the IFLIGHWA operator are also studied. Eventually, the method based on the IFLIGHWA operator for MADM problem is presented and a numerical example about TPA is used to illustrate effectiveness of proposed method.
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References
Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96
Burillo P, Bustince H (1996) Entropy on intuitionistic fuzzy sets and on intervalvalued fuzzy sets. Fuzzy Sets Syst 78(3):305–316
Chen H, Liu C, Sheng Z (2004) Induced ordered weighted harmonic averaging (IOWHA) operator and its application to combination forecasting method. Chin J Manag Sci 12(5):35–40
Chen S, Niou S (2009) A new method for fuzzy group decision-making based on fuzzy induced OWA operators. In: IEEE Computer Society, pp 822–825
Duong T, Duong V (2010) Principal component analysis with weighted sparsity constraint. Appl Math Inf Sci 4(4):79–91
Hung W, Yang M (2004) Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance. Pattern Recognit Lett 25(14):1603–1611
Hung W, Yang M (2010) Fuzzy entropy on intuitionistic fuzzy sets. Int J Intell Syst 21(4):443–451
Jiang W, Wei B, Liu X, Li X, Zheng H (2017) Intuitionistic fuzzy power aggregation operator based on entropy and its application in decision making. Int J Intell Syst 33(1):49–67
Kong M, Ren F, Park D, Hao F, Pei Z (2018) An induced hesitant linguistic aggregation operator and its application for creating fuzzy ontology. KSII Trans Internet Inf Syst 11(10):4952–4975
Kosko B (1986) Fuzzy entropy and conditioning. Inf Sci 40(2):165–174
Li D, Cheng C (2002) New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognit Lett 23(1):221–225
Liang Z, Shi P (2003) Similarity measures on intuitionistic fuzzy sets. Pattern Recognit Lett 24(15):2687–2693
Liu Z, Liu P (2017) Intuitionistic uncertain linguistic partitioned Bonferronimeans and their application to multiple attribute decision-making. Int J Syst Sci 48(5):1092–1105
Liu Z, Liu P, Liang X (2018) Multiple attribute decision-making method for dealing with heterogeneous relationship among attributes and unknown attribute weight information under q-rung orthopair fuzzy environment. Int J Intell Syst 33(9):1900–1928
Liu Z, Liu P, Wang S (2018) Multiple attribute group decision making based on q-rung orthopair fuzzy heronian mean operators. Int J Intell Syst 33(12):2341–2363
Liu X, Han B, Chen H, Zhou L (2019) The probabilistic ordered weighted continuous OWA operator and its application in group decision making. Int J Mach Learn Cybern 10(4):705–715
Merigó J (2011) A unified model between the weighted average and the induced OWA operator. Expert Syst Appl 38(9):11560–11572
Merigó J, Casanovas M (2015) The uncertain induced quasi-arithmetic OWA operator. Int J Intell Syst 26(1):1–24
Merigó J, Gil-Lafuente A (2009) The induced generalized OWA operator. Inf Sci 179(6):729–741
Selvachandran G, Salleh A (2010) Intuitionistic fuzzy linguistic variables and intuitionistic fuzzy hedges. Far East J Math Sci 95(2):529–539
Shands F, Levary R (1986) Weighting the importance of various teacher behaviors by use of the delphi method. Education 106(3):306–320
Su Z, Xia G, Chen M (2011) Some induced intuitionistic fuzzy aggregation operators applied to multi-attribute group decision making. Int J Gen Syst 40(8):805–835
Szmidt E, Kacprzyk J (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets Syst 118(3):467–477
Wang J, Cao C, Zeng S, Balezentis T (2019) Weighted induced aggregation Euclidean distance operators for the decision making of robot selection. Transform Bus Econ 18(1):81–94
Xian S (2012) Fuzzy linguistic induced ordered weighted averaging operator and its application. J Appl Math 2012:853–862
Xian S, Sun W (2014) Fuzzy linguistic induced Euclidean OWA distance operator and its application in group linguistic decision making. Int J Intell Syst 29(5):478–491
Xian S, Xue W, Zhang J, Yin Y, Xie Q (2015) Intuitionistic fuzzy linguistic induced ordered weighted averaging operator for group decision making. Int J Uncertain Fuzziness Knowl Based Syst 23(04):627–648
Xian S, Sun W, Xu S, Gao Y (2016a) Fuzzy linguistic induced OWA Minkowski distance operator and its application in group decision making. Pattern Anal Appl 19(2):325–335
Xian S, Xue W, Dong Y (2016b) Intuitionistic fuzzy induced ordered entropic weighted averaging operator for group decision making. J Intell Fuzzy Syst 31(3):1189–1197
Xian S, Xue W, Jing N (2016c) Fuzzy entropic ordered weighted averaging operator and its application in group decision making. Int J Intell Syst 31(9):872–885
Xian S, Zhang J, Xue W (2016d) Fuzzy linguistic induced generalized OWA operator and its application in fuzzy linguistic decision making. Int J Intell Syst 31(8):749–762
Xian S, Yin Y, Xue W, Xiao Y (2018) Intuitionistic fuzzy interval-valued linguistic entropic combined weighted averaging operator for linguistic group decision making. Int J Intell Syst 33(2):444–460
Xian S, Chai J, Guo H (2019) Z linguistic-induced ordered weighted averaging operator for multiple attribute group decision-making. Int J Intell Syst 34(2):271–296
Xu Z (2006) Induced uncertain linguistic OWA operators applied to group decision making. Inf Fusion 7(2):231–238
Xu Z, Da Q (2002) Study on method of combination weighting. Chin J Manag Sci 10(2):84–87
Yager R (1993) Families of OWA operators. Fuzzy Sets Syst 59(2):125–148
Yager R (2004) Generalized OWA aggregation operators. Fuzzy Optim Decis Mak 3(1):93–107
Yager R, Filev D (2011) Induced ordered weighted averaging operators. IEEE Trans Syst Man Cybern Part B Cybern A Publ IEEE Syst Man Cybern Soc 26(9):866–886
Zadeh L (1965) Fuzzy set. Inf Control 8(3):338–353
Zadeh L (1975) The concept of a linguistic variable and its application to approximate reasoning: parts 1–3. Inf Sci 8(3):199–249
Zadeh LA (1999) Some reflections on the anniversary of fuzzy sets and systems. Fuzzy Sets Syst 100(100):1–3
Zeng S, Merigó J, Palacios-Marques D, Jin H, Gu F (2017) Intuitionistic fuzzy induced ordered weighted averaging distance operator and its application to decision making. J Intell Fuzzy Syst 32(1):11–22
Zeng S, Cao C, Deng Y, Shen X (2018a) A method based on TOPSIS and distance measures for hesitant fuzzy multiple attribute decision making. Informatica 29(3):567–580
Zeng S, Cao C, Deng Y, Shen X (2018b) Pythagorean fuzzy information aggregation based on weighted induced operator and its application to R&D projections selection. Informatica 29(3):567–580
Zeng S, Llopis-Albert C, Zhang Y (2018c) A novel induced aggregation method for intuitionistic fuzzy set and its application in multiple attribute group decision making. Int J Intell Syst 33(11):2175–2188
Zeng S, Mu Z, Balezentis T (2018d) A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making. Int J Intell Syst 33(3):573–585
Acknowledgements
The authors express their gratitude to the Editor and the anonymous Reviewers for their valuable and constructive comments. And this work was supported by the Chongqing Social Science Planning Project (No.2018YB SH085), the Graduate Teaching Reform Research Program of Chongqing Municipal Education Commission (No.YJG183074), the Major entrustment projects of the Chongqing Bureau of quality and technology supervision (No.CQZJZD2018001),the Science and Technology Research Project of Chongqing Municipal Education Commission (No.KJQN201800624) and the Chongqing research and innovation project of graduate students (No.CYS18252).
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Communicated by Marcos Eduardo Valle.
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Xian, S., Guo, H. & Chai, J. Intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging operator and its application to take targeted measures in poverty alleviation . Comp. Appl. Math. 38, 134 (2019). https://doi.org/10.1007/s40314-019-0902-9
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DOI: https://doi.org/10.1007/s40314-019-0902-9
Keywords
- Multiple attribute decision making
- Take targeted measures in poverty alleviation
- Intuitionistic fuzzy linguistic entropy
- Intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging operator