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Managing Missing Preference Values Through Consistency and Consensus in Distributed Linguistic Preference Relations: A Two-stage Method Based on Personalized Individual Semantics

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Abstract

Linguistic distribution, as a flexible representation structure, is often used in linguistic decision-making. Several approaches have been proposed for managing the missing elements in incomplete preference relations when decision makers cannot provide all the linguistic comparisons between alternatives in preference relations. However, in linguistic decision-making, words can mean different things to different people, which implies the necessity of personalizing individual semantics. This study proposes a two-stage method, including a personalized individual semantics (PIS)-based consistency model and a PIS-based consensus model, to manage PIS and missing elements in incomplete distributed linguistic preference relations (DLPRs). The proposed method combines the characteristics of the personalization of linguistic expression and estimates the missing values, guaranteeing optimum consistency and consensus at the same time in group decision-making with incomplete DLPRs. Numerical and comparison analyses were performed to illustrate the use of the two-stage method, and demonstrates the various numerical meanings of words and the features of the obtained complete DLPRs from the proposed model.

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References

  • Bordogna G, Fedrizzi M, Pasi G (1997) A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Trans Syst Man Cybern Part A Syst Humans 27(1):126–133

    Article  Google Scholar 

  • Chandran B, Golden B, Wasil E (2005) Linear programming models for estimating weights in the analytic hierarchy process. Comput Oper Res 32(9):2235–2254

    Article  Google Scholar 

  • Chen ZS, Chin KS, Li YL, Yang Y (2016) Proportional hesitant fuzzy linguistic term set for multiple criteria group decision making. Inf Sci 357:61–87

    Article  Google Scholar 

  • Dong Y, Xu Y, Yu S (2009) Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model. IEEE Trans Fuzzy Syst 17(6):1366–1378

    Article  Google Scholar 

  • Dong YC, Wu YZ, Zhang H, Zhang G (2015) Multi-granular unbalanced linguistic distribution assessments with interval symbolic proportions. Knowl-Based Syst 82:139–151

    Article  Google Scholar 

  • Fedrizzi M, Giove S (2007) Incomplete pairwise comparison and consistency optimization. Eur J Oper Res 183(1):303–313

    Article  Google Scholar 

  • Gao Y, Zhang Z (2022) Consensus reaching with non-cooperative behavior management for personalized individual semantics-based social network group decision making. J Operat Res Soc. https://doi.org/10.1080/01605682.2021.1997654

    Article  Google Scholar 

  • Guo WT, Huynh VN, Nakamori Y (2015) An interval linguistic distribution model for multiple attribute decision making problems with incomplete linguistic information. Int J Knowl Syst Sci 6(4):16–34

    Article  Google Scholar 

  • Guo WT, Huynh VN, Sriboonchitta S (2016) A proportional linguistic distribution based model for multiple attribute decision making under linguistic uncertainty. Ann Oper Res 256(2):305–328

    Article  Google Scholar 

  • Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8(6):746–752

    Article  Google Scholar 

  • Herrera F, Martínez L (2001) A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic context in multi-expert decision making. IEEE Trans Syst Man Cybern B Cybern 31(2):227–234

    Article  Google Scholar 

  • Herrera F, Herrera-Viedma E, Verdegay JL (1996) A linguistic decision process in group decision making. Group Decis Negot 5(2):165–176

    Article  Google Scholar 

  • Herrera F, Alonso S, Chiclana F, Herrera-Viedma E (2009) Computing with words in decision making: foundations, trends and prospects. Fuzzy Optim Decis Making 8(4):337–364

    Article  Google Scholar 

  • Huang HY, Li CX (2018) Extended personalized individual semantics with 2-tuple linguistic preference for supporting consensus decision making. IEICE Trans Inf Syst 101:387–395

    Article  Google Scholar 

  • Jin FF, Ni ZW, Langari R, Chen HY (2020) Consistency improvement-driven decision-making methods with probabilistic multiplicative preference relations. Group Decis Negot 29(2):371–397

    Article  Google Scholar 

  • Li CC, Dong YC, Herrera F, Herrera-Viedma E, Martínez L (2017) Personalized individual semantics in computing with words for supporting linguistic group decision making. Appl Consens Reach Inf Fusion 33:29–40

    Article  Google Scholar 

  • Li CC, Rodríguez RM, Martínez L, Dong YC, Herrera F (2018) Personalized individual semantics based on consistency in hesitant linguistic group decision making with comparative linguistic expressions. Knowl-Based Syst 145:156–165

    Article  Google Scholar 

  • Li CC, Dong YC, Xu YX, Chiclana F, Herrera-Viedma E, Herrera F (2019) An overview on managing additive consistency of reciprocal preference relations for consistency-driven decision making and fusion: taxonomy and future directions. Inf Fusion 52:143–156

    Article  Google Scholar 

  • Li CC, Gao Y, Dong YC (2021) Managing ignorance elements and personalized individual semantics under incomplete linguistic distribution context in group decision making. Group Decis Negot 30:97–118

    Article  Google Scholar 

  • Li CC, Dong YC, Chiclana F, Herrera-Viedma E (2022a) Consistency-driven methodology to manage incomplete linguistic preference relation: a perspective based on personalized individual semantics. IEEE Trans Cybern 52(7):6170–6180

    Article  Google Scholar 

  • Li CC, Dong YC, Pedrycz W, Herrera F (2022b) Integrating continual personalized-individual-semantics learning in consensus reaching in linguistic group decision making. IEEE Trans Syst Man Cybern Syst 52(3):1525–1536

    Article  Google Scholar 

  • Liu YT, Zhang HJ, Wu YZ, Dong YC (2019) Ranking range based approach to MADM under incomplete context and its application in venture investment evaluation. Technol Econ Dev Econ 25:877–899

    Article  Google Scholar 

  • Lu Y, Xu Y, Huang J, Wei J, Herrera-Viedma E (2022) Social network clustering and consensus-based distrust behaviors management for large-scale group decision-making with incomplete hesitant fuzzy preference relations. Appl Soft Comput 117:108373

    Article  Google Scholar 

  • Mendel JM, Wu D (2010) Perceptual Computing: Aiding People in Making Subjective Judgments. IEEE-Wiley, New York, NY, USA

    Book  Google Scholar 

  • Mendel JM, Zadeh LA, Trillas E, Yager RR, Lawry J, Hagras H, Guadarrama S (2010) What computing with words means to me: discussion forum. IEEE Comput Intell Mag 5(1):20–26

    Article  Google Scholar 

  • Rodríguez RM, Martínez L, Herrera F (2012) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20(1):109–119

    Article  Google Scholar 

  • Wang JH, Hao J (2006) A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 14(3):435–445

    Article  Google Scholar 

  • Wu ZB, Xu JP (2016) Possibility distribution-based approach for MAGDM with hesitant fuzzy linguistic information. IEEE Trans Cybern 46(3):694–705

    Article  Google Scholar 

  • Wu YZ, Dong YC, Qin J, Pedrycz W (2020) Flexible linguistic expressions and consensus reaching with accurate constraints in group decision-making. IEEE Trans Cybern 50(6):2488–2501

    Article  Google Scholar 

  • Wu YZ, Dong YC, Qin JD, Pedrycz W (2021) Linguistic distribution and priority based approximation to flexible linguistic expressions in decision-making. IEEE Trans Cybern 51(2):649–659

    Article  Google Scholar 

  • Xu Y, Li M, Chiclana F, Herrera-Viedma E (2021a) Multiplicative consistency ascertaining, inconsistency repairing, and weights derivation of hesitant multiplicative preference relations. IEEE Trans Syst Man Cybern Syst. https://doi.org/10.1109/TSMC.2021.3099862

    Article  Google Scholar 

  • Xu WJ, Chen X, Dong YC, Chiclana F (2021b) Impact of decision rules and non-cooperative behaviors on minimum consensus cost in group decision making. Group Decis Negot 30:1239–1260

    Article  Google Scholar 

  • Zadeh LA (1996) Fuzzy logic = computing with words. IEEE Trans Fuzzy Syst 4(2):103–111

    Article  Google Scholar 

  • Zadeh LA (2002) From computing with numbers to computing with words- from manipulation of measurements to manipulation of perceptions. In: Wang PP (ed) The Dynamics of Judicial Proof. John Wiley and Sons, Wiley Series on Intelligent Systems, pp 35–68

    Google Scholar 

  • Zhang GQ, Dong YC, Xu YF (2014) Consistency and consensus measures for linguistic preference relations based on distribution assessments. Inf Fusion 17:46–55

    Article  Google Scholar 

  • Zhang B, Liang H, Gao Y, Zhang G (2018) The optimization-based aggregation and consensus with minimum-cost in group decision making under incomplete linguistic distribution context. Knowl-Based Syst 162:92–102

    Article  Google Scholar 

  • Zhang Z, Yu W, Martinez L, Gao Y (2020) Managing multigranular unbalanced hesitant fuzzy linguistic information in multiattribute large-scale group decision making: a linguistic distribution-based approach. IEEE Trans Fuzzy Syst 28(11):2875–2889

    Article  Google Scholar 

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Funding

Funding was provide by National Natural Science Foundation of China, 71901182, Congcong Li, 71871149, Yucheng Dong, Southwest Jiaotong University, YJSY-DSTD201918, Congcong Li, 2682021ZTPY073, Congcong Li, China Postdoctoral Science Foundation, 2020M673283, Congcong Li, 2021T140570, Congcong Li, Sichuan University, YJ201906, Yucheng Dong.

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Authors and Affiliations

  1. School of Economics and Management, Southwest Jiaotong University, Chengdu, China

    Cong-Cong Li

  2. Center for Network Big Data and Decision-Making, Business School, Sichuan University, Chengdu, China

    Yuan Gao & Yucheng Dong

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  1. Cong-Cong Li
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  2. Yuan Gao
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  3. Yucheng Dong
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Correspondence to Yucheng Dong.

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Li, CC., Gao, Y. & Dong, Y. Managing Missing Preference Values Through Consistency and Consensus in Distributed Linguistic Preference Relations: A Two-stage Method Based on Personalized Individual Semantics. Group Decis Negot 32, 125–146 (2023). https://doi.org/10.1007/s10726-022-09802-0

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