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Multi-attribute group decision making approach based on interval-valued intuitionistic fuzzy sets and evidential reasoning methodology

  • Methodologies and Application
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Abstract

In multi-attribute group decision making methods, team often needs to deal with both quantitative data and qualitative information with uncertainty. It is essential to properly represent and use uncertain information to conduct rational decision analysis. Having regarded this fact many approaches have been proposed for solving group decision-making problems, especially in fuzzy environments, but due to their drawbacks they get an unreasonable preference order of the alternatives in some situation. Thus in this paper based on interval-valued intuitionistic fuzzy sets and evidential reasoning methodology, a new approach has been proposed for supporting such decision situation. The experimental results are examined using the proposed approach. Computation steps and analysis results are provided to demonstrate its implementation process. The proposed method can overcome the drawbacks of the existing methods for fuzzy multi-attribute group decision making in intuitionistic fuzzy environments.

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References

  • Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    Article  MATH  Google Scholar 

  • Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31:343–349

    Article  MathSciNet  MATH  Google Scholar 

  • Bellman RE, Zadeh LA (1970) Decision-making in a fuzzy environment. Manag Sci 17:B-141–B-164

  • Hashemi SS, Hajiagha SHR, Zavadskas EK, Mahdiraji HA (2016) Multicriteria group decision making with ELECTRE III method based on interval-valued intuitionistic fuzzy information. Appl Math Model 40(2):1554–1564

  • Hwang C-L, Yoon K (1981) Lecture notes in economics and mathematical systems: multiple attribute decision making: methods and application. Springer, New York

  • İntepe G, Bozdag E, Koc T (2013) The selection of technology forecasting method using a multi-criteria interval-valued intuitionistic fuzzy group decision making approach. Comput Ind Eng 65:277–285

    Article  Google Scholar 

  • Jin F, Pei L, Chen H, Zhou L (2014) Interval-valued intuitionistic fuzzy continuous weighted entropy and its application to multi-criteria fuzzy group decision making. Knowl Based Syst 59:132–141

    Article  Google Scholar 

  • Joshi D, Kumar S (2016) Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making. Eur J Oper Res 248:183–191

    Article  MathSciNet  MATH  Google Scholar 

  • Li Y, Deng Y, Chan FT, Liu J, Deng X (2014) An improved method on group decision making based on interval-valued intuitionistic fuzzy prioritized operators. Appl Math Model 38:2689–2694

    Article  MathSciNet  Google Scholar 

  • Liu B, Chen Y, Shen Y, Sun H, Xu X (2014) A complex multi-attribute large-group decision making method based on the interval-valued intuitionistic fuzzy principal component analysis model. Soft Comput 18:2149–2160

    Article  Google Scholar 

  • Makui A, Gholamian MR, Mohammadi SE (2015a) A hybrid intuitionistic fuzzy multi-criteria group decision making approach for supplier selection. J Optim Ind Eng (in press)

  • Makui A, Gholamian MR, Mohammadi SE (2015b) Supplier selection with multi-criteria group decision making based on interval-valued intuitionistic fuzzy sets (case study on a project-based company). J Ind Syst Eng 8(4):19–38

  • Meng F, Chen X (2014) Interval-valued intuitionistic fuzzy multi-criteria group decision making based on cross entropy and 2-additive measures. Soft Comput 1–12

  • Szmidt E, Kacprzyk J (2000) Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst 114:505–518

    Article  MathSciNet  MATH  Google Scholar 

  • Szmidt E, Kacprzyk J (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets Syst 118:467–477

    Article  MathSciNet  MATH  Google Scholar 

  • Tzeng G-H, Huang J-J (2011) Multiple attribute decision making: methods and applications. CRC Press, New York

  • Wan S-P, Dong J-Y (2015) Interval-valued intuitionistic fuzzy mathematical programming method for hybrid multi-criteria group decision making with interval-valued intuitionistic fuzzy truth degrees. Inf Fusion 26:49–65

    Article  Google Scholar 

  • Wei GW, Wang XR (2007) Some geometric aggregation operators based on interval-valued intuitionistic fuzzy sets and their application to group decision making. In: Proceedings of the international conference on computational intelligence and security. IEEE Computer Society Press, Washington, DC, pp 495–499

  • Xu ZS (2005) An overview of methods for determining OWA weights. Int J Intell Syst 20:843–865

    Article  MATH  Google Scholar 

  • Xu ZS (2007) Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Control Decis 22:215–219

  • Xu ZS, Chen J (2007) On geometric aggregation over interval-valued intuitionistic fuzzy information. In: Proceedings of the fourth international conference on fuzzy systems and knowledge discovery. IEEE Computer Society Press, Washington, DC, pp 466–471

  • Xu J, Shen F (2014) A new outranking choice method for group decision making under Atanassov’s interval-valued intuitionistic fuzzy environment. Knowl Based Syst 70:177–188

    Article  Google Scholar 

  • Yang J-B (2001) Rule and utility based evidential reasoning approach for multiattribute decision analysis under uncertainties. Eur J Oper Res 131:31–61

  • Yang J-B, Singh MG (1994) An evidential reasoning approach for multiple-attribute decision making with uncertainty. IEEE Trans Syst Man Cybern 24:1–18

    Article  Google Scholar 

  • Yang J-B, Xu D-L (2002) On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty. IEEE Trans Syst Man Cybern Part A Syst Hum 32:289–304

    Article  Google Scholar 

  • Yang J-B, Liu J, Wang J, Sii H-S, Wang H-W (2006) Belief rule-base inference methodology using the evidential reasoning approach—RIMER. IEEE Trans Syst Man Cybern Part A Syst Hum 36:266–285

    Article  Google Scholar 

  • Yang J-B, Wang Y-M, Xu D-L, Chin K-S (2006) The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties. Eur J Oper Res 171:309–343

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    Article  MATH  Google Scholar 

  • Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning-I. Inf Sci 8:199–249

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang X, Liu J, Lei J, Yang BA (2008) The weak consistency of an interval-valued intuitionistic fuzzy matrix. In: IEEE international conference on fuzzy systems, FUZZ-IEEE 2008. IEEE world congress on computational intelligence, pp 1124–1127

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Authors and Affiliations

  1. Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran

    Seyed Erfan Mohammadi & Ahmad Makui

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  1. Seyed Erfan Mohammadi
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  2. Ahmad Makui
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Correspondence to Seyed Erfan Mohammadi.

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Communicated by V. Loia.

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Mohammadi, S.E., Makui, A. Multi-attribute group decision making approach based on interval-valued intuitionistic fuzzy sets and evidential reasoning methodology. Soft Comput 21, 5061–5080 (2017). https://doi.org/10.1007/s00500-016-2101-6

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  • DOI: https://doi.org/10.1007/s00500-016-2101-6

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