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2013 | OriginalPaper | Chapter

A Generalized Multi-Attribute Group Decision Making with Intuitionistic Fuzzy Set

Authors : Zhifu Tao, Huayou Chen, Weiyuan Zou, Ligang Zhou, Jinpei Liu

Published in: Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013

Publisher: Springer Berlin Heidelberg

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Abstract

The aim of this paper is to introduce a new decision making model called the generalized multi-attribute group decision making (GMAGDM), which provides a very general form that includes multi-attribute decision making (MADM) and multi-attribute group decision making (MAGDM) as two special cases. A GMAGDM under intuitionistic fuzzy environment is proposed. The relation between intuitionistic fuzzy set and hesitant fuzzy set is utilized. Then we propose a hesitant fuzzy TOPSIS method for the solution of the mentioned problem. Finally, a numerical example is given to illustrate the flexibility and validity of the proposed approach.

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Literature
1.
go back to reference Tanino T (1984) Fuzzy preference orderings in group decision making. Fuzzy Sets Syst, 12:117–131 Tanino T (1984) Fuzzy preference orderings in group decision making. Fuzzy Sets Syst, 12:117–131
2.
go back to reference Delgado M, Herrera F, Herrera-Viedma E, Martinez L (1998) Combining numerical and linguistic information in group decision making. Inf Sci 107:177–194MathSciNetCrossRef Delgado M, Herrera F, Herrera-Viedma E, Martinez L (1998) Combining numerical and linguistic information in group decision making. Inf Sci 107:177–194MathSciNetCrossRef
3.
go back to reference Herrera F, Herrera-Viedma E, Chiclana F (2001) Multiperson decision-making based on multiplicative preference relations. Eur J Oper Res 129:372–385MathSciNetCrossRefMATH Herrera F, Herrera-Viedma E, Chiclana F (2001) Multiperson decision-making based on multiplicative preference relations. Eur J Oper Res 129:372–385MathSciNetCrossRefMATH
4.
go back to reference Kameda T, Tindale RS, Davis JH (2002) Cognitions, preferences, and social sharedness: past, present, and future directions in group decision making. In: Schneider SL, Shanteau J (eds) Emerging perspectives on judgment and decision research. Cambridge University Press, Cambridge Kameda T, Tindale RS, Davis JH (2002) Cognitions, preferences, and social sharedness: past, present, and future directions in group decision making. In: Schneider SL, Shanteau J (eds) Emerging perspectives on judgment and decision research. Cambridge University Press, Cambridge
5.
go back to reference Chen HY, Zhou LG, Han B (2011) On compatibility of uncertain additive linguistic preference relations and its application in the group decision making. Knowl-Based Syst 24:816–823CrossRef Chen HY, Zhou LG, Han B (2011) On compatibility of uncertain additive linguistic preference relations and its application in the group decision making. Knowl-Based Syst 24:816–823CrossRef
6.
go back to reference Merigo JM, Gil-Lafuente AM, Zhou LG, Chen HY (2011) A generalization of the linguistic aggregation operator and its application in decision making. J Syst Eng Electron 22:1–5CrossRef Merigo JM, Gil-Lafuente AM, Zhou LG, Chen HY (2011) A generalization of the linguistic aggregation operator and its application in decision making. J Syst Eng Electron 22:1–5CrossRef
7.
go back to reference Zadeh LA (1965) Fuzzy sets, information and control. 8:338–353 Zadeh LA (1965) Fuzzy sets, information and control. 8:338–353
8.
go back to reference Zadeh LA (1975) The concept of a linguistic and application to approximate reasoning I. Inf Sci, 8:199–249 Zadeh LA (1975) The concept of a linguistic and application to approximate reasoning I. Inf Sci, 8:199–249
9.
go back to reference Krassimir T (1988) Atanassov: intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–90 Krassimir T (1988) Atanassov: intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–90
10.
go back to reference Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst, 31:343–349 Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst, 31:343–349
11.
go back to reference Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision, FUZZ-IEEE, Korea, Aug pp 20–24 Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision, FUZZ-IEEE, Korea, Aug pp 20–24
12.
go back to reference Yager R (1993) Families of OWA operators. Fuzzy Sets Systems. 59:125–148 Yager R (1993) Families of OWA operators. Fuzzy Sets Systems. 59:125–148
13.
go back to reference Zhou LG, Chen HY (2012) A generalization of the power aggregation operators for linguistic environment and its application in group decision making. Knowl Based Syst, 26:216–224 Zhou LG, Chen HY (2012) A generalization of the power aggregation operators for linguistic environment and its application in group decision making. Knowl Based Syst, 26:216–224
14.
go back to reference Chen HY, Zhou LG (2012) A relative entropy approach to group decision making with interval reciprocal relations based on COWA Operator. Group Decis Negot. 21:585–599 Chen HY, Zhou LG (2012) A relative entropy approach to group decision making with interval reciprocal relations based on COWA Operator. Group Decis Negot. 21:585–599
15.
go back to reference Zhou LG, Chen HY (2011) Continuous generalized OWA operator and its application to decision making. Fuzzy Sets Syst, 168:18–34 Zhou LG, Chen HY (2011) Continuous generalized OWA operator and its application to decision making. Fuzzy Sets Syst, 168:18–34
16.
go back to reference Zhou LG, Chen HY, Liu JP (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62:989–999CrossRef Zhou LG, Chen HY, Liu JP (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62:989–999CrossRef
17.
go back to reference Zhou LG, Chen HY, Liu JP (2012) Continuous ordered weighted distance measure and its application to multiple attribute group decision making. Group Decis Negot. doi:10.1007/s10726-012-9289-3 Zhou LG, Chen HY, Liu JP (2012) Continuous ordered weighted distance measure and its application to multiple attribute group decision making. Group Decis Negot. doi:10.​1007/​s10726-012-9289-3
18.
go back to reference Zhou LG, Chen HY, Merigó JM, Gil-Lafuente AM (2012) Uncertain generalized aggregation operators. Expert Syst Appl 39:1105–1117CrossRef Zhou LG, Chen HY, Merigó JM, Gil-Lafuente AM (2012) Uncertain generalized aggregation operators. Expert Syst Appl 39:1105–1117CrossRef
19.
go back to reference Chen HY, Zhou LG (2011) An approach to group decision making with interval fuzzy preference relations based on induced generalized continuous ordered weighted averaging operator. Expert Syst Appl 38:13432–13440CrossRef Chen HY, Zhou LG (2011) An approach to group decision making with interval fuzzy preference relations based on induced generalized continuous ordered weighted averaging operator. Expert Syst Appl 38:13432–13440CrossRef
20.
go back to reference Liu PD (2013) Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making. Appl Math Model, 37:2430–2444 Liu PD (2013) Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making. Appl Math Model, 37:2430–2444
21.
go back to reference Xia MM, Xu ZS (2012) Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment. Inf Fusion 13:31–47CrossRef Xia MM, Xu ZS (2012) Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment. Inf Fusion 13:31–47CrossRef
22.
go back to reference Wan ZJ, Li KW, Xu JH (2011) A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information. Expert Systems with Applications, 38:12462–12469 Wan ZJ, Li KW, Xu JH (2011) A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information. Expert Systems with Applications, 38:12462–12469
23.
go back to reference De Smet Y, Mareschal B, Verly C (2009) Extending the PROMETHEE II method to continuous and combinatorial multi-objective optimization problems: a first model. In: Proceedings of the 2009 IEEE IEEM. 1608–1611 De Smet Y, Mareschal B, Verly C (2009) Extending the PROMETHEE II method to continuous and combinatorial multi-objective optimization problems: a first model. In: Proceedings of the 2009 IEEE IEEM. 1608–1611
24.
go back to reference Zhang SF, Liu SY (2011) A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection. Expert Syst Appl 38:11401–11405CrossRef Zhang SF, Liu SY (2011) A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection. Expert Syst Appl 38:11401–11405CrossRef
25.
go back to reference Vahdani B, Mousavi SM, Tavakkoli-Moghaddam R, Hashemi H (2013) A new design of the elimination and choice translating reality method for multi-criteria group decision-making in an intuitionistic fuzzy environment. Appl Math Model 37:1781–1799MathSciNetCrossRefMATH Vahdani B, Mousavi SM, Tavakkoli-Moghaddam R, Hashemi H (2013) A new design of the elimination and choice translating reality method for multi-criteria group decision-making in an intuitionistic fuzzy environment. Appl Math Model 37:1781–1799MathSciNetCrossRefMATH
26.
go back to reference Chiclana F, Tapia García JM, del Moral MJ, Herrera-Viedma E (2013) A statistical comparative study of different similarity measures of consensus in group decision making. Inf Sci 221:110–123MathSciNetCrossRef Chiclana F, Tapia García JM, del Moral MJ, Herrera-Viedma E (2013) A statistical comparative study of different similarity measures of consensus in group decision making. Inf Sci 221:110–123MathSciNetCrossRef
27.
go back to reference Palomares I, Rodríguez RM, Martínez L (2013) An attitude-driven web consensus support system for heterogeneous group decision making. Expert Syst Appl 40:139–149CrossRef Palomares I, Rodríguez RM, Martínez L (2013) An attitude-driven web consensus support system for heterogeneous group decision making. Expert Syst Appl 40:139–149CrossRef
28.
go back to reference Xu ZS, Xia MM (2011) On distance and correlation measures of hesitant fuzzy information. Int J Intell Syst 26:410–425CrossRefMATH Xu ZS, Xia MM (2011) On distance and correlation measures of hesitant fuzzy information. Int J Intell Syst 26:410–425CrossRefMATH
Metadata
Title
A Generalized Multi-Attribute Group Decision Making with Intuitionistic Fuzzy Set
Authors
Zhifu Tao
Huayou Chen
Weiyuan Zou
Ligang Zhou
Jinpei Liu
Copyright Year
2013
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-37502-6_8

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