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A Multivariate Minimum Cost Consensus Model for Negotiations of Holdout Demolition

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Abstract

Incidences of holdouts, as group events, have appeared most frequently in many countries. The underlying cause of these occurrences of high frequency has been closely related to multiple objectives or various conflicts of interest of stakeholders. Each negotiation of holdout demolition represents a typical group consensus problem with the outcome greatly influenced by multiple objectives or variables of the decision makers. In order to effectively deal with such difficult problems, we construct a multivariate, minimum cost consensus model based on interval number programming constrained with random chances by jointly employing various approaches, such as minimum cost consensus model, multivariate planning, stochastic opportunity constrained programming and interval numbers. After the theoretical development, this paper employs the established method to solve the problem of holdout demolition of particular town A.

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References

  • Akiyama Y, Nolan J, Darrah M et al (2016) A method for measuring consensus within groups: an index of disagreement via conditional probability. Inf Sci 345:116–128

    Google Scholar 

  • Ben-Arieh D, Easton T, Evans B (2008) Minimum cost consensus with quadratic cost functions. IEEE Trans Syst Man Cybern Part A Syst Hum 39(1):210–217

    Google Scholar 

  • Cadigan J, Schmitt P, Swope SK (2009) An experimental study of the holdout problem in a multilateral bargaining game. South Econ J 76(2):444–457

    Google Scholar 

  • Cadigan J, Schmitt P, Shupp R et al (2011) The holdout problem and urban sprawl: experimental evidence. J Urban Econ 69(1):72–81

    Google Scholar 

  • Charnes AW, Cooper W (1959) Chance-constrained programming. Manag Sci 1(6):73–79

    Google Scholar 

  • Chaudhuri A, Paichayontvijit T, So T (2015) Team versus individual behavior in the minimum effort coordination game. J Econ Psychol 47:85–102

    Google Scholar 

  • Chen N, Xu ZS, **a MM (2013) Interval-valued hesitant preference relations and their applications to group decision-making. Knowl Based Syst 37(2013):528–540

    Google Scholar 

  • Chen SM, Cheng SH, Chiou CH (2016) Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodology. Inf Fusion 27:215–227

    Google Scholar 

  • Chiclana F, Tapia García JM, Del Moral MJ et al (2013) A statistical comparative study of different similarity measures of consensus in-group decision making. Inf Sci 221:110–123

    Google Scholar 

  • Dong QX, Cooper O (2016) A peer-to-peer dynamic adaptive consensus-reaching model for the group AHP decision making. Eur J Oper Res 250(2):521–530

    Google Scholar 

  • Dong YC, Li CC, Chiclana F et al (2016a) Average-case consistency measurement and analysis of interval-valued reciprocal preference relations. Knowl Based Syst 114:108–117

    Google Scholar 

  • Dong YC, Zhang HJ, Herrera-Viedma E (2016b) Consensus reaching model in the complex and dynamic MAGDM problem. Knowl Based Syst 106(C):206–219

    Google Scholar 

  • Erdamar B, García-Lapresta JL, Pérez-Román D et al (2014) Measuring consensus in a preference-approval context. Inf Fusion 17:14–21

    Google Scholar 

  • Fedrizzi M, Fedrizzi M, Pereira RAM (1999) Soft consensus and network dynamics in-group decision-making. Int J Intell Syst 14(1):63–77

    Google Scholar 

  • Fu C, Yang SL (2010) The group consensus based evidential reasoning approach for multiple attributive group decision analysis. Eur J Oper Res 206(3):601–608

    Google Scholar 

  • Gong ZW, Xu XX, Li L et al (2015a) Consensus modeling with nonlinear utility and cost constraints. Knowl Based Syst 88(C):210–222

    Google Scholar 

  • Gong ZW, Xu XX, Zhang H et al (2015b) The consensus models with interval preference opinions and their economic interpretation. Omega 55:81–90

    Google Scholar 

  • Gong ZW, Xu XX, Lu FL et al (2015c) On consensus models with utility preferences and limited budget. Appl Soft Comput 35:840–849

    Google Scholar 

  • Herrera-Viedma E, García-Lapresta JL, Kacprzyk J et al (2011) Consensual processes. Stud Fuzziness Soft Comput 213(6):1217–1223

    Google Scholar 

  • Khalid A, Beg I (2016) Incomplete interval valued fuzzy preference relations. Inf Sci 348(5):15–24

    Google Scholar 

  • Khorshid S (2010) Soft consensus model based on coincidence between positive and negative ideal degrees of agreement under a group decision-making fuzzy environment. Expert Syst Appl 37(5):3977–3985

    Google Scholar 

  • Liao HH, Xu ZS, Zeng XJ et al (2016) An enhanced consensus reaching process in-group decision making with intuitionistic fuzzy preference relations. Inf Sci 329:274–286

    Google Scholar 

  • Liu J, Chan FTS, Li Y et al (2012) A new optimal consensus method with minimum cost in fuzzy group decision. Knowl Based Syst 35:357–360

    Google Scholar 

  • Liu BH, Shen YH, Zhang W et al (2015) An interval-valued intuitionistic fuzzy principal component analysis model-based method for complex multi-attribute large-group decision-making. Eur J Oper Res 245(1):209–225

    Google Scholar 

  • Liu Y, Liang C, Chiclana F et al (2017) A trust induced recommendation mechanism for reaching consensus in-group decision making. Knowl Based Syst 119(C):221–231

    Google Scholar 

  • Menezes F, Pitchford R (2004) A model of seller holdout. Econ Theor 24(2):231–253

    Google Scholar 

  • Meng F, Chen X (2015) A new method for group decision making with incomplete fuzzy preference relations. Knowl Based Syst 73:111–123

    Google Scholar 

  • Miceli TJ, Kathleen S (2012) Land assembly and the holdout problem under sequential bargaining. Am Law Econ Rev 14(2):372–390

    Google Scholar 

  • Miceli TJ, Sirmans CF (2006) The holdout problem, urban sprawl, and eminent domain. Soc Sci Electron Publ 16(3):309–319

    Google Scholar 

  • Palomares I, Estrella FJ, Martínez L et al (2014) Consensus under a fuzzy context: taxonomy, analysis framework AFRYCA and experimental case of study. Inf Fusion 20(15):252–271

    Google Scholar 

  • Parreiras RO, Ekel PY, Morais DC (2012) Fuzzy set based consensus schemes for multicriteria group decision making applied to strategic planning. Group Decis Negot 21(2):153–183

    Google Scholar 

  • Qin Z (2017) Random fuzzy mean-absolute deviation models for portfolio optimization problem with htbird uncertainty. Appl Soft Comput 56:597–603

    Google Scholar 

  • Sakawa M, Matsui T (2013) Interactive fuzzy random two-level linear programming based on level sets and fractile criterion optimization. Inf Sci 238(7):163–175

    Google Scholar 

  • Tao ZF, Liu X, Chen HY et al (2015) Group decision making with fuzzy linguistic preference relations via cooperative games method. Comput Ind Eng 83:184–192

    Google Scholar 

  • Wan SP (2013) 2-Tuple linguistic hybrid arithmetic aggregation operators and application to multi-attribute group decision-making. Knowl Based Syst 45(3):31–40

    Google Scholar 

  • Wan SP, Wang F, Dong JY (2016a) A novel group decision making method with intuitionistic fuzzy preference relations for RFID technology selection. Appl Soft Comput 38(C):405–422

    Google Scholar 

  • Wan SP, Wang F, Lin LL et al (2016b) Some new generalized aggregation operators for triangular intuitionistic fuzzy numbers and application to multi-attribute group decision making. Comput Ind Eng 93(C):286–301

    Google Scholar 

  • Wang ZJ, Li KW (2015) A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices. Eur J Oper Res 242(3):890–900

    Google Scholar 

  • Wang X, Li Y, Ma Z et al (2017) Robust optimization of structural-acoustic coupled system with random parameters. Aerosp Sci Technol 60:48–57

    Google Scholar 

  • Wibowo S, Deng H (2013) Consensus-based decision support for multi-criteria group decision making. Comput Ind Eng 66(4):625–633

    Google Scholar 

  • Wu ZB, Xu JP (2012) Consensus reaching models of linguistic preference relations based on distance functions. Soft Comput 16(4):577–589

    Google Scholar 

  • Wu ZB, Xu JP (2016) Managing consistency and consensus in-group decision making with hesitant fuzzy linguistic preference relations. Omega 65(3):28–40

    Google Scholar 

  • **a MM, Xu ZS (2013) Group decision making based on intuitionistic multiplicative aggregation operators. Appl Math Model 37(7):5120–5133

    Google Scholar 

  • Xu ZS (2013) Group decision-making model and approach based on interval preference orderings. Comput Ind Eng 64(3):797–803

    Google Scholar 

  • Xu J, Wu Z (2011) A discrete consensus support model for multiple attribute group decision making. Knowl Based Syst 24(8):1196–1202

    Google Scholar 

  • Xu YJ, Li KW, Wang HM (2013) Distance-based consensus models for fuzzy and multiplicative preference relations. Inf Sci 253:56–73

    Google Scholar 

  • Xu G, Wan SP, Wang F et al (2016a) Mathematical programming methods for consistency and consensus in-group decision making with intuitionistic fuzzy preference relations. Knowl Based Syst 98:30–43

    Google Scholar 

  • Xu YJ, Sun H, Wang HM (2016b) Optimal consensus models for group decision making under linguistic preference relations. Int Trans Oper Res 23(6):1201–1228

    Google Scholar 

  • Xu YJ, Rui D, Wang HM (2017a) A dynamically weight adjustment in the consensus reaching process for group decision-making with hesitant fuzzy preference relations. Int J Syst Sci 48(6):1311–1321

    Google Scholar 

  • Xu ZS, Feng K, Que F et al (2017b) A MYB transcription factor, DcMYB6, is involved in regulating anthocyanin biosynthesis in purple carrot taproots. Sci Rep 7:45324

    Google Scholar 

  • Zhang ZM, Wang C, Tian XD (2015) A decision support model for group decision making with hesitant fuzzy preference relations. Knowl Based Syst 86:77–101

    Google Scholar 

  • Zhang HJ, Dong YC, Chen X (2017) The 2-rank consensus reaching model in the multigranular linguistic multiple-attribute group decision-making. IEEE Trans Syst Man Cybern Syst 99:1–15

    Google Scholar 

Download references

Acknowledgements

The authors would like to express their appreciation to the advisors, the two anonymous reviewers and two colleagues (Dr. Wuyong Qian and Renshi Zhang). Meanwhile, this work is partially funded by the National Natural Science Foundation of China (71503103); the Humanities and Social Sciences of Education Ministry (17YJC640224); Natural Science Foundation of Jiangsu Province (BK20150157); Soft Science Foundation of Jiangsu Province (BR2018005); Jiangsu Province University Philosophy and Social Sciences for Key Research Program (2017ZDIXM034); the Fundamental Research Funds for the Central Universities (2019JDZD06); the Tender Project from Wuxi Federation of Philosophy and Social Sciences (WXSK20-A-08); Soft Science Foundation of Wuxi city(KX-20-A02). Even so, this work does not involve any conflict of interest.

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Authors and Affiliations

  1. School of Business, Jiangnan University, Lihu Lake Road 1800, Wuxi City, 214122, Jiangsu Province, China

    Yong Liu & Ting Zhou

  2. School of Business, Slippery Rock University, Slippery Rock, PA, 16057, USA

    Jeffrey Yi-Lin Forrest

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  1. Yong Liu
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  2. Ting Zhou
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  3. Jeffrey Yi-Lin Forrest
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Correspondence to Yong Liu.

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Liu, Y., Zhou, T. & Forrest, J.YL. A Multivariate Minimum Cost Consensus Model for Negotiations of Holdout Demolition. Group Decis Negot 29, 871–899 (2020). https://doi.org/10.1007/s10726-020-09683-1

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