Solving matrix games based on Ambika method with hesitant fuzzy information and its application in the counter-terrorism issue
The hesitant fuzzy set has been studied as a powerful tool to describe the decision makers’ judgements under uncertain environment and applied to many domains. For solving the matrix games whose payoffs are expressed by the hesitant fuzzy information, the paper proposes the Ambika method of hesitant...
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| Veröffentlicht in: | Applied intelligence (Dordrecht, Netherlands) Jg. 51; H. 3; S. 1227 - 1243 |
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| Abstract | The hesitant fuzzy set has been studied as a powerful tool to describe the decision makers’ judgements under uncertain environment and applied to many domains. For solving the matrix games whose payoffs are expressed by the hesitant fuzzy information, the paper proposes the Ambika method of hesitant fuzzy matrix games (HFMGs). In this paper, firstly, the formal representation of HFMGs is established to meet the conditions of two-person finite zero-sum games. Secondly, after a new method of adding elements to the shorter hesitant fuzzy elements (HFEs), i.e. the hesitant fuzzy elements with possibility, is developed to keep the same length of HFEs, a weighting method based on the position of element in the HFEs is proposed. Then the hesitant fuzzy bi-objective nonlinear programming models for both players are established for HFMGs. Thirdly, according to the proposed value and ambiguity indexes, the Ambika method of HFMGs is developed to find the optimal solutions of mixed strategies by solving the converted linear programming models. Finally, as the illustration of the proposed method, a numerical example about how to choose the optimal solutions for a state security department is given in the counter-terrorism issue. |
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| AbstractList | The hesitant fuzzy set has been studied as a powerful tool to describe the decision makers’ judgements under uncertain environment and applied to many domains. For solving the matrix games whose payoffs are expressed by the hesitant fuzzy information, the paper proposes the Ambika method of hesitant fuzzy matrix games (HFMGs). In this paper, firstly, the formal representation of HFMGs is established to meet the conditions of two-person finite zero-sum games. Secondly, after a new method of adding elements to the shorter hesitant fuzzy elements (HFEs), i.e. the hesitant fuzzy elements with possibility, is developed to keep the same length of HFEs, a weighting method based on the position of element in the HFEs is proposed. Then the hesitant fuzzy bi-objective nonlinear programming models for both players are established for HFMGs. Thirdly, according to the proposed value and ambiguity indexes, the Ambika method of HFMGs is developed to find the optimal solutions of mixed strategies by solving the converted linear programming models. Finally, as the illustration of the proposed method, a numerical example about how to choose the optimal solutions for a state security department is given in the counter-terrorism issue. |
| Author | Xue, Wenting Zeng, Xiao-Jun Xu, Zeshui |
| Author_xml | – sequence: 1 givenname: Wenting surname: Xue fullname: Xue, Wenting organization: School of Economics and Management, Southeast University, Department of Computer Science, University of Manchester – sequence: 2 givenname: Zeshui surname: Xu fullname: Xu, Zeshui email: xuzeshui@263.net organization: School of Economics and Management, Southeast University – sequence: 3 givenname: Xiao-Jun surname: Zeng fullname: Zeng, Xiao-Jun organization: Department of Computer Science, University of Manchester |
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| Cites_doi | 10.1007/s10100-019-00638-9 10.1016/j.ins.2018.08.014 10.1093/bjps/axs035 10.1016/j.knosys.2015.01.011 10.1007/s41066-019-00191-5 10.3233/IFS-130956 10.1016/j.physa.2016.06.039 10.1007/s10489-020-01647-x 10.1016/j.ijar.2010.09.002 10.1057/jors.2013.7 10.18267/j.polek.1107 10.1016/j.asoc.2019.04.008 10.3846/20294913.2016.1216472 10.1007/s10489-018-1292-1 10.2307/1969529 10.1142/S0219622019500512 10.1109/FUZZY.2009.5276884 10.1007/s00500-018-3486-1 10.3233/JIFS-161631 10.1007/s11269-017-1848-6 10.1109/TFUZZ.2014.2333065 10.1016/j.ins.2014.08.054 10.1016/j.cie.2019.05.004 10.1016/j.fss.2018.07.001 10.1109/TFUZZ.2017.2651103 10.1016/j.fiae.2014.08.003 10.1016/j.knosys.2015.02.020 10.1016/j.apm.2015.02.046 10.1007/s10489-018-1186-2 10.1016/j.asoc.2017.04.008 10.1016/j.ejor.2015.05.011 10.1016/S0165-0114(86)80034-3 10.1016/j.ins.2016.08.034 10.1016/j.ins.2019.08.027 |
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| Keywords | Hesitant fuzzy sets Counter-terrorism issue Ambika method Hesitant fuzzy matrix games |
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| References | Chen, Xu (CR8) 2015; 292 Zhu, Xu (CR27) 2013; 64 Bhaumik, Roy, Weber (CR36) 2019; 28 Zhou, Xu (CR40) 2015; 78 Cui, Wang, Ren, Lu, Li (CR4) 2016; 462 Nan, Li, Zhang (CR20) 2010; 3 Huttegger, Zollman (CR5) 2013; 64 Cheng (CR30) 2018; 467 Zeng, Xiao (CR12) 2018; 24 Nan, Zhang, Li (CR21) 2013; 26 CR18 Nash (CR1) 1951; 54 Zhang, Chen, Streimikiene, Balezentis (CR9) 2019; 79 Mi, Liao (CR32) 2019; 133 CR37 Gou, Xu, Liao (CR35) 2017; 388 Li (CR45) 2003 Liao, Xu, Zeng (CR34) 2015; 82 Nan, Zhang, Li (CR24) 2013; 16 CR31 Zeng, Chen, Fan (CR11) 2020; 506 Bhaumik, Roy, Li (CR6) 2017; 33 Zhang, Tang, Meng (CR33) 2019; 49 Xu (CR39) 2014 Farhadinia, Xu (CR26) 2018; 48 Zeng, Luo, Zhang, Li (CR10) 2020; 19 Verma, Kumar (CR25) 2018; 26 Roy, Bhaumik (CR7) 2018; 32 Jana, Roy (CR46) 2019; 23 Xia, Xu (CR38) 2011; 52 Bector, Chandra (CR44) 2005 Aggarwal, Chandra, Mehra (CR13) 2014; 6 Gou, Xu (CR41) 2016; 372 Li (CR19) 2014 Figueroa-Garcia, Mehra, Chandra (CR15) 2019; 362 Atanassov (CR17) 1986; 20 Jiang, Xie, Zhuang, Tang (CR43) 2017; 57 Li, Nan, Tang, Chen, Xiang, Hong (CR22) 2012; 9 Owen (CR42) 1982 Li, Liu (CR23) 2015; 23 Bigdeli, Hassanpour, Tayyebi (CR16) 2019; 16 Torra (CR28) 2010; 25 Neumann, Morgenstern (CR2) 1944 Chandra, Aggarwal (CR14) 2015; 246 Tyagi (CR29) 2015; 39 Dlouhy (CR3) 2016; 64 GH Cui (1759_CR4) 2016; 462 DF Li (1759_CR19) 2014 SK Tyagi (1759_CR29) 2015; 39 S Chandra (1759_CR14) 2015; 246 YN Zhang (1759_CR33) 2019; 49 A Bhaumik (1759_CR36) 2019; 28 KT Atanassov (1759_CR17) 1986; 20 JC Figueroa-Garcia (1759_CR15) 2019; 362 ZS Xu (1759_CR39) 2014 CH Zhang (1759_CR9) 2019; 79 HC Liao (1759_CR34) 2015; 82 XJ Gou (1759_CR35) 2017; 388 CR Bector (1759_CR44) 2005 M Dlouhy (1759_CR3) 2016; 64 SH Cheng (1759_CR30) 2018; 467 W Jiang (1759_CR43) 2017; 57 J Jana (1759_CR46) 2019; 23 MM Xia (1759_CR38) 2011; 52 XJ Gou (1759_CR41) 2016; 372 T Verma (1759_CR25) 2018; 26 1759_CR31 JX Nan (1759_CR21) 2013; 26 DF Li (1759_CR22) 2012; 9 DF Li (1759_CR23) 2015; 23 H Bigdeli (1759_CR16) 2019; 16 XM Mi (1759_CR32) 2019; 133 JX Nan (1759_CR24) 2013; 16 J Nash (1759_CR1) 1951; 54 1759_CR18 DF Li (1759_CR45) 2003 1759_CR37 SZ Zeng (1759_CR12) 2018; 24 B Farhadinia (1759_CR26) 2018; 48 V Torra (1759_CR28) 2010; 25 W Zhou (1759_CR40) 2015; 78 JX Nan (1759_CR20) 2010; 3 SZ Zeng (1759_CR11) 2020; 506 ZS Zeng (1759_CR10) 2020; 19 SM Huttegger (1759_CR5) 2013; 64 B Zhu (1759_CR27) 2013; 64 G Owen (1759_CR42) 1982 A Bhaumik (1759_CR6) 2017; 33 SK Roy (1759_CR7) 2018; 32 JV Neumann (1759_CR2) 1944 N Chen (1759_CR8) 2015; 292 A Aggarwal (1759_CR13) 2014; 6 |
| References_xml | – volume: 506 start-page: 424 year: 2020 end-page: 442 ident: CR11 article-title: Interval-valued intuitionistic fuzzy multiple attribute decision making based on nonlinear programming methodology and TOPSIS method publication-title: Inf Sci – ident: CR18 – volume: 78 start-page: 23 year: 2015 end-page: 33 ident: CR40 article-title: Optimal discrete fitting aggregation approach with hesitant fuzzy information publication-title: Knowl-Based Syst – volume: 20 start-page: 87 issue: 1 year: 1986 end-page: 96 ident: CR17 article-title: Intuitionistic fuzzy sets publication-title: Fuzzy Sets Syst – year: 2005 ident: CR44 publication-title: Fuzzy mathematical programming and fuzzy matrix games – volume: 467 start-page: 604 year: 2018 end-page: 617 ident: CR30 article-title: Autocratic decision making using group recommendations based on hesitant fuzzy sets for green hotels selection and bidders selection publication-title: Inf Sci – volume: 82 start-page: 115 year: 2015 end-page: 127 ident: CR34 article-title: Novel correlation coefficients between hesitant fuzzy sets and their application in decision making publication-title: Knowl-Based Syst – volume: 64 start-page: 747 issue: 6 year: 2016 end-page: 761 ident: CR3 article-title: Game theory, coalition formation and political power concentration in the Prague City assembly publication-title: Politicka Ekonomie – ident: CR37 – volume: 462 start-page: 92 year: 2016 end-page: 103 ident: CR4 article-title: Promotion of cooperation induced by discriminators in the spatial multi-player donor-recipient game publication-title: Physica A Stat Mech Appl – volume: 64 start-page: 1831 issue: 12 year: 2013 end-page: 1840 ident: CR27 article-title: Hesitant fuzzy Bonferroni means for multi-criteria decision making publication-title: J Oper Res Soc – volume: 23 start-page: 8873 issue: 18 year: 2019 end-page: 8886 ident: CR46 article-title: Dual hesitant fuzzy matrix games: based on new similarity measure publication-title: Soft Comput – volume: 26 start-page: 2899 issue: 6 year: 2013 end-page: 2912 ident: CR21 article-title: A methodology for matrix games with payoffs of triangular intuitionistic fuzzy number publication-title: J Intell Fuzzy Syst – volume: 372 start-page: 407 year: 2016 end-page: 427 ident: CR41 article-title: Novel basic operational laws for linguistic terms, hesitant fuzzy linguistic term sets and probabilistic linguistic term sets publication-title: Inf Sci – volume: 23 start-page: 885 issue: 4 year: 2015 end-page: 896 ident: CR23 article-title: A parameterized nonlinear programming approach to solve matrix games with payoffs of I-fuzzy numbers publication-title: IEEE Trans Fuzzy Syst – year: 2003 ident: CR45 publication-title: Fuzzy multiobjective many person decision makings and games – volume: 64 start-page: 637 issue: 3 year: 2013 end-page: 658 ident: CR5 article-title: Methodology in biological game theory publication-title: Br J Philos Sci – year: 2014 ident: CR19 publication-title: Decision and game theory in management with intuitionistic fuzzy sets – volume: 6 start-page: 167 issue: 2 year: 2014 end-page: 192 ident: CR13 article-title: Solving matrix games with I-fuzzy payoffs: Pareto-optimal security strategies approach publication-title: Fuzzy Inf Eng – volume: 19 start-page: 343 issue: 1 year: 2020 end-page: 358 ident: CR10 article-title: A correlation-based TOPSIS method for multiple attribute decision making with single-valued neutrosophic information publication-title: Int J Inf Technol Decis Mak – volume: 26 start-page: 270 issue: 1 year: 2018 end-page: 283 ident: CR25 article-title: Ambika methods for solving matrix games with Atanassov’s intuitionistic fuzzy payoffs publication-title: IEEE Trans Fuzzy Syst – volume: 388 start-page: 225 year: 2017 end-page: 246 ident: CR35 article-title: Hesitant fuzzy linguistic entropy and cross-entropy measures and alternative queuing method for multiple criteria decision making publication-title: Inf Sci – volume: 362 start-page: 55 year: 2019 end-page: 70 ident: CR15 article-title: Optimal solutions for group matrix games involving interval-valued fuzzy numbers publication-title: Fuzzy Sets Syst – volume: 292 start-page: 175 year: 2015 end-page: 197 ident: CR8 article-title: Hesitant fuzzy ELECTRE II approach: a new way to handle multi-criteria decision making problems publication-title: Inf Sci – volume: 48 start-page: 3915 issue: 11 year: 2018 end-page: 3927 ident: CR26 article-title: Novel hesitant fuzzy linguistic entropy and cross-entropy measures in multiple criteria decision making publication-title: Appl Intell – volume: 54 start-page: 286 issue: 2 year: 1951 end-page: 295 ident: CR1 article-title: Non cooperative games publication-title: Ann Math – volume: 79 start-page: 410 year: 2019 end-page: 423 ident: CR9 article-title: Intuitionistic fuzzy MULTIMOORA approach for multi-criteria assessment of the energy storage technologies publication-title: Appl Soft Comput – volume: 133 start-page: 83 year: 2019 end-page: 94 ident: CR32 article-title: An integrated approach to multiple criteria decision making based on the average solution and normalized weights of criteria deduced by the hesitant fuzzy best worst method publication-title: Comput Ind Eng – volume: 49 start-page: 837 issue: 3 year: 2019 end-page: 857 ident: CR33 article-title: Programming model-based method for ranking objects from group decision making with interval-valued hesitant fuzzy preference relations publication-title: Appl Intell – volume: 24 start-page: 969 issue: 3 year: 2018 end-page: 983 ident: CR12 article-title: A method based on TOPSIS and distance measures for hesitant fuzzy multiple attribute decision making publication-title: Technol Econ Dev Econ – volume: 16 start-page: 444 issue: 4 year: 2013 end-page: 456 ident: CR24 article-title: Intuitionistic fuzzy programming models for matrix games with payoffs of trapezoidal intuitionistic fuzzy numbers publication-title: Int J Fuzzy Syst – volume: 3 start-page: 280 issue: 3 year: 2010 end-page: 289 ident: CR20 article-title: A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers publication-title: Int J Comput Intell Syst – volume: 16 start-page: 89 issue: 1 year: 2019 end-page: 101 ident: CR16 article-title: Multiobjective security game with fuzzy payoffs publication-title: Iran J Fuzzy Syst – volume: 9 start-page: 93 issue: 3 year: 2012 end-page: 110 ident: CR22 article-title: A bi-objective programming approach to solve matrix games with payoffs of Atanassov’s triangular intuitionistic fuzzy numbers publication-title: Iran J Fuzzy Syst – ident: CR31 – volume: 57 start-page: 672 year: 2017 end-page: 683 ident: CR43 article-title: Failure mode and effects analysis based on a novel fuzzy evidential method publication-title: Appl Soft Comput – volume: 32 start-page: 949 year: 2018 end-page: 968 ident: CR7 article-title: Intelligent water management: a triangular Type-2 intuitionistic fuzzy matrix games approach publication-title: Water Resour Manag – volume: 246 start-page: 575 issue: 2 year: 2015 end-page: 581 ident: CR14 article-title: On solving matrix games with pay-offs of triangular fuzzy numbers: certain observations and generalizations publication-title: Eur J Oper Res – year: 1982 ident: CR42 publication-title: Game theory – volume: 28 start-page: 797 year: 2019 end-page: 816 ident: CR36 article-title: Hesitant interval-valued intuitionistic fuzzy-linguistic term set approach in prisoners’ dilemma game theory using TOPSIS: a case study on human-trafficking publication-title: CEJOR doi: 10.1007/s10100-019-00638-9 – year: 1944 ident: CR2 publication-title: Theory of games and economic behavior – year: 2014 ident: CR39 publication-title: Hesitant fuzzy sets theory – volume: 52 start-page: 395 year: 2011 end-page: 407 ident: CR38 article-title: Hesitant fuzzy information aggregation in decision making publication-title: Int J Approx Reason – volume: 39 start-page: 7082 issue: 22 year: 2015 end-page: 7092 ident: CR29 article-title: Correlation coefficient of dual hesitant fuzzy sets and its applications publication-title: Appl Math Model – volume: 33 start-page: 327 issue: 1 year: 2017 end-page: 336 ident: CR6 article-title: Analysis of triangular intuitionistic fuzzy matrix games using robust ranking publication-title: J Intell Fuzzy Syst – volume: 25 start-page: 529 issue: 6 year: 2010 end-page: 539 ident: CR28 article-title: Hesitant fuzzy sets publication-title: Int J Intell Syst – volume-title: Theory of games and economic behavior year: 1944 ident: 1759_CR2 – volume: 467 start-page: 604 year: 2018 ident: 1759_CR30 publication-title: Inf Sci doi: 10.1016/j.ins.2018.08.014 – volume: 64 start-page: 637 issue: 3 year: 2013 ident: 1759_CR5 publication-title: Br J Philos Sci doi: 10.1093/bjps/axs035 – volume: 78 start-page: 23 year: 2015 ident: 1759_CR40 publication-title: Knowl-Based Syst doi: 10.1016/j.knosys.2015.01.011 – volume-title: Fuzzy multiobjective many person decision makings and games year: 2003 ident: 1759_CR45 – ident: 1759_CR18 doi: 10.1007/s41066-019-00191-5 – volume: 26 start-page: 2899 issue: 6 year: 2013 ident: 1759_CR21 publication-title: J Intell Fuzzy Syst doi: 10.3233/IFS-130956 – volume: 25 start-page: 529 issue: 6 year: 2010 ident: 1759_CR28 publication-title: Int J Intell Syst – volume: 462 start-page: 92 year: 2016 ident: 1759_CR4 publication-title: Physica A Stat Mech Appl doi: 10.1016/j.physa.2016.06.039 – ident: 1759_CR31 doi: 10.1007/s10489-020-01647-x – volume: 52 start-page: 395 year: 2011 ident: 1759_CR38 publication-title: Int J Approx Reason doi: 10.1016/j.ijar.2010.09.002 – volume-title: Fuzzy mathematical programming and fuzzy matrix games year: 2005 ident: 1759_CR44 – volume: 64 start-page: 1831 issue: 12 year: 2013 ident: 1759_CR27 publication-title: J Oper Res Soc doi: 10.1057/jors.2013.7 – volume: 388 start-page: 225 year: 2017 ident: 1759_CR35 publication-title: Inf Sci – volume: 64 start-page: 747 issue: 6 year: 2016 ident: 1759_CR3 publication-title: Politicka Ekonomie doi: 10.18267/j.polek.1107 – volume: 79 start-page: 410 year: 2019 ident: 1759_CR9 publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2019.04.008 – volume: 24 start-page: 969 issue: 3 year: 2018 ident: 1759_CR12 publication-title: Technol Econ Dev Econ doi: 10.3846/20294913.2016.1216472 – volume: 49 start-page: 837 issue: 3 year: 2019 ident: 1759_CR33 publication-title: Appl Intell doi: 10.1007/s10489-018-1292-1 – volume: 54 start-page: 286 issue: 2 year: 1951 ident: 1759_CR1 publication-title: Ann Math doi: 10.2307/1969529 – volume: 19 start-page: 343 issue: 1 year: 2020 ident: 1759_CR10 publication-title: Int J Inf Technol Decis Mak doi: 10.1142/S0219622019500512 – ident: 1759_CR37 doi: 10.1109/FUZZY.2009.5276884 – volume: 23 start-page: 8873 issue: 18 year: 2019 ident: 1759_CR46 publication-title: Soft Comput doi: 10.1007/s00500-018-3486-1 – volume: 33 start-page: 327 issue: 1 year: 2017 ident: 1759_CR6 publication-title: J Intell Fuzzy Syst doi: 10.3233/JIFS-161631 – volume: 9 start-page: 93 issue: 3 year: 2012 ident: 1759_CR22 publication-title: Iran J Fuzzy Syst – volume: 32 start-page: 949 year: 2018 ident: 1759_CR7 publication-title: Water Resour Manag doi: 10.1007/s11269-017-1848-6 – volume: 23 start-page: 885 issue: 4 year: 2015 ident: 1759_CR23 publication-title: IEEE Trans Fuzzy Syst doi: 10.1109/TFUZZ.2014.2333065 – volume: 292 start-page: 175 year: 2015 ident: 1759_CR8 publication-title: Inf Sci doi: 10.1016/j.ins.2014.08.054 – volume-title: Hesitant fuzzy sets theory year: 2014 ident: 1759_CR39 – volume-title: Game theory year: 1982 ident: 1759_CR42 – volume: 133 start-page: 83 year: 2019 ident: 1759_CR32 publication-title: Comput Ind Eng doi: 10.1016/j.cie.2019.05.004 – volume: 362 start-page: 55 year: 2019 ident: 1759_CR15 publication-title: Fuzzy Sets Syst doi: 10.1016/j.fss.2018.07.001 – volume: 26 start-page: 270 issue: 1 year: 2018 ident: 1759_CR25 publication-title: IEEE Trans Fuzzy Syst doi: 10.1109/TFUZZ.2017.2651103 – volume: 6 start-page: 167 issue: 2 year: 2014 ident: 1759_CR13 publication-title: Fuzzy Inf Eng doi: 10.1016/j.fiae.2014.08.003 – volume: 82 start-page: 115 year: 2015 ident: 1759_CR34 publication-title: Knowl-Based Syst doi: 10.1016/j.knosys.2015.02.020 – volume: 28 start-page: 797 year: 2019 ident: 1759_CR36 publication-title: CEJOR doi: 10.1007/s10100-019-00638-9 – volume: 16 start-page: 444 issue: 4 year: 2013 ident: 1759_CR24 publication-title: Int J Fuzzy Syst – volume: 39 start-page: 7082 issue: 22 year: 2015 ident: 1759_CR29 publication-title: Appl Math Model doi: 10.1016/j.apm.2015.02.046 – volume: 16 start-page: 89 issue: 1 year: 2019 ident: 1759_CR16 publication-title: Iran J Fuzzy Syst – volume: 48 start-page: 3915 issue: 11 year: 2018 ident: 1759_CR26 publication-title: Appl Intell doi: 10.1007/s10489-018-1186-2 – volume: 57 start-page: 672 year: 2017 ident: 1759_CR43 publication-title: Appl Soft Comput doi: 10.1016/j.asoc.2017.04.008 – volume: 246 start-page: 575 issue: 2 year: 2015 ident: 1759_CR14 publication-title: Eur J Oper Res doi: 10.1016/j.ejor.2015.05.011 – volume: 20 start-page: 87 issue: 1 year: 1986 ident: 1759_CR17 publication-title: Fuzzy Sets Syst doi: 10.1016/S0165-0114(86)80034-3 – volume: 372 start-page: 407 year: 2016 ident: 1759_CR41 publication-title: Inf Sci doi: 10.1016/j.ins.2016.08.034 – volume: 506 start-page: 424 year: 2020 ident: 1759_CR11 publication-title: Inf Sci doi: 10.1016/j.ins.2019.08.027 – volume-title: Decision and game theory in management with intuitionistic fuzzy sets year: 2014 ident: 1759_CR19 – volume: 3 start-page: 280 issue: 3 year: 2010 ident: 1759_CR20 publication-title: Int J Comput Intell Syst |
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| SubjectTerms | Artificial Intelligence Computer Science Counterterrorism Fuzzy sets Linear programming Machines Manufacturing Mechanical Engineering Nonlinear programming Processes Terrorism Weighting methods Zero sum games |
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| Title | Solving matrix games based on Ambika method with hesitant fuzzy information and its application in the counter-terrorism issue |
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