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A direct projection-based group decision-making methodology with crisp values and interval data

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Abstract

This paper presents a methodology for group decision-making problems based on a new normalized projection measure, in which the attribute values are provided by decision makers in hybrid form with crisp values and interval data. According to the idea of the technique for order preference by similarity to ideal solution, the separations between each alternative decision and its ideal decisions are established based on the normalized projection measurement. There are no aggregation and transformation between crisp values and interval data in this model. The alternatives are ranked directly based on their relative closeness. An experimental analysis is given to illustrate the feasibility and practicability of introduced method.

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References

  • Aloini D, Dulmin R, Mininno V (2014) A peer IF-TOPSIS based decision support system for packaging machine selection. Exp Syst Appl 41(5):2157–2165

    Article  Google Scholar 

  • Alparslan SZG, Palancı O, Olgun MO (2014) Cooperative interval games: mountain situations with interval data. J Comput Appl Math 259(Part B):622–632

    Article  MathSciNet  MATH  Google Scholar 

  • Anisseh M, Piri F, Shahraki MR, Agamohamadi F (2012) Fuzzy extension of TOPSIS model for group decision making under multiple criteria. Artif Intell Rev 38:325–338

    Article  Google Scholar 

  • Bazzazi AA, Osanloo M, Karimi B (2011) Deriving preference order of open pit mines equipment through MADM methods: application of modified VIKOR method. Exp Syst Appl 38(3):2550–2556

    Article  Google Scholar 

  • Cabrerizo FJ, Herrera-Viedma E, Pedrycz W (2013) A method based on PSO and granular computing of linguistic information to solve group decision making problems defined in heterogeneous contexts. Eur J Oper Res 230(3):624–633

    Article  MathSciNet  MATH  Google Scholar 

  • Cai F, Gao X, Liu M, Liu X, Han L, Chen J (2011) GRAP: grey risk assessment based on projection in ad hoc networks. J Parallel Distrib Comput 71(9):1249–1260

    Article  MATH  Google Scholar 

  • Chai J, Liu JNK, Ngai EWT (2013) Application of decision-making techniques in supplier selection: a systematic review of literature. Expert Syst Appl 40(10):3872–3885

    Article  Google Scholar 

  • Chen Y-J (2011) Structured methodology for supplier selection and evaluation in a supply chain. Inf Sci 181(9):1651–1670

    Article  Google Scholar 

  • Chen X, Zhang H, Dong Y (2015) The fusion process with heterogeneous preference structures in group decision making: A survey. Inf Fusion 24:72–83

    Article  Google Scholar 

  • Chen TY, Tsao CY (2008) The interval-valued fuzzy TOPSIS method and experimental analysis. Fuzzy Sets Syst 159(11):1410–1428

    Article  MathSciNet  MATH  Google Scholar 

  • Chiclana F, Garcia JMT, Del Moral MJ, Herrera-Viedma E (2013) A statistical comparative study of different similarity measures of consensus in group decision making. Inf Sci 221:110–123

    Article  MathSciNet  Google Scholar 

  • Collan M, Luukka P (2014) Evaluating R&D projects as investments by using an overall ranking from four new fuzzy similarity measure-based TOPSIS variants. IEEE Trans Fuzzy Syst 22(3):505–515

    Article  Google Scholar 

  • Feng B, Lai F (2014) Multi-attribute group decision making with aspirations: a case study. Omega 44:136–147

    Article  Google Scholar 

  • Hatami-Marbini A, Emrouznejad A, Agrell PJ (2014) Interval data without sign restrictions in DEA. Appl Math Model 38(7–8):2028–2036

    Article  MathSciNet  Google Scholar 

  • Herrera F, Herrera-Viedma E, Verdegay JL (1996) Direct approach processes in group decision making using linguistic OWA operators. Fuzzy Sets Systems 79(2):175–190

    Article  MathSciNet  MATH  Google Scholar 

  • Khaleie S, Fasanghari M (2012) An intuitionistic fuzzy group decision making method using entropy and association coefficient. Soft Comput 16(7):1197–1211

    Article  Google Scholar 

  • Liu P, Wang Y (2014) Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators. Appl Soft Comput 17:90–104

    Article  Google Scholar 

  • Maldonado-Macías A, Alvarado A, García JL, Balderrama CO (2014) Intuitionistic fuzzy TOPSIS for ergonomic compatibility evaluation of advanced manufacturing technology. Int J Adv Manufact Technol 70(9–12):2283–2292

    Article  Google Scholar 

  • Merigó JM, Casanovas M, Yang J-B (2014) Group decision making with expertons and uncertain generalized probabilistic weighted aggregation operators. Eur J Oper Res 235(1):215–224

    Article  MathSciNet  MATH  Google Scholar 

  • Monjezi M, Dehghani H, Singh TN, Sayadi AR (2012) Application of TOPSIS method for selecting the most appropriate blast design. Arab J Geosci 22(1):95–101

    Article  Google Scholar 

  • Naim S, Hagras H (2014) A type 2-hesitation fuzzy logic based multi-criteria group decision making system for intelligent shared environments. Soft Comput 18(7):1305–1319

    Article  Google Scholar 

  • Palomares I, Liu J, Xu Y, Martínez L (2012) Modelling experts’ attitudes in group decision making. Soft Comput 16(10):1755–1766

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  • Pérez IJ, Wikström R, Mezei J, Carlsson C, Herrera-Viedma E (2013) A new consensus model for group decision making using fuzzy ontology. Soft Comput 17(9):1617–1627

    Article  Google Scholar 

  • Pérez IJ, Cabrerizo FJ, Alonso S, Herrera-Viedma E (2014) A new consensus model for group decision making problems with non homogeneous experts. IEEE Trans Syst Man Cybernet Syst 44(4):494–498

    Article  Google Scholar 

  • Po-Lung Y (1973) A class of solutions for group decision problems. Manag Sci 19(8):936–946

    Article  MathSciNet  Google Scholar 

  • Rodríguez RM, Martınez L, Herrera F (2013) A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Inf Sci 241:28–42

    Article  MathSciNet  MATH  Google Scholar 

  • Sevastjanov P, Dymova L, Bartosiewicz P (2012) A new approach to normalization of interval and fuzzy weights. Fuzzy Sets Syst 198:34–45

    Article  MathSciNet  MATH  Google Scholar 

  • Srdjevic B, Srdjevic Z (2013) Synthesis of individual best local priority vectors in AHP-group decision making. Appl Soft Comput 13(4):2045–2056

    Article  MATH  Google Scholar 

  • Tapia-Rosero A, Bronselaer A, De Tré G (2014) A method based on shape-similarity for detecting similar opinions in group decision-making. Inf Sci 258:291–311

    Article  Google Scholar 

  • Taylan O, Bafail AO, Abdulaal R, Kabli MR (2014) Construction projects Selection and risk assessment by Fuzzy AHP and Fuzzy TOPSIS methodologies. Appl Soft Comput 17:105–116

    Article  Google Scholar 

  • Tsaur R-C (2011) Decision risk analysis for an interval TOPSIS method. Appl Math Comput 218(8):4295–4304

    MathSciNet  MATH  Google Scholar 

  • Wan S-P, Wang Q-Y, Dong J-Y (2013) The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers. Knowl-Based Syst 52:65–77

    Article  Google Scholar 

  • Wei GW (2009) Decision-making based on projection for intuitionistic fuzzy multiple attributes. Chin J Manag 6(9):1154–1156

    Google Scholar 

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

    Article  Google Scholar 

  • Xia M, Zeshui X (2014) Interval weight generation approaches for reciprocal relations. Appl Math Model 38(3):828–838

    Article  MathSciNet  Google Scholar 

  • Xu ZS (2005) On method for uncertain multiple attribute decision making problems with uncertain multiplicative preference information on alternatives. Fuzzy Optim Decis Making 4(2):131–139

    Article  MathSciNet  MATH  Google Scholar 

  • Xu Z (2008) Dependent uncertain ordered weighted aggregation operators. Inf Fusion 9(2):310–316

    Article  Google Scholar 

  • Xu ZS, Da QL (2004) Projection method for uncertain multi-attribute decision making with preference information on alternatives. Int J Inf Technol Decis Making 3(03):429–434

    Article  Google Scholar 

  • Xu Z, Hu H (2010) Projection models for intuitionistic fuzzy multiple attribute decision making. Int J Inf Technol Decis Making 9(2):267–280

    Article  MATH  Google Scholar 

  • Xu GL, Liu F (2013) An approach to group decision making based on interval multiplicative and fuzzy preference relations by using projection. Appl Math Model 37(6):3929–3943

    Article  MathSciNet  MATH  Google Scholar 

  • Ye F (2010) An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection. Expert Syst Appl 37(10):7050–7055

    Article  Google Scholar 

  • Ye F, Li Y-N (2009) Group multi-attribute decision model to partner selection in the formation of virtual enterprise under incomplete information. Expert Syst Appl 36(5):9350–9357

    Article  Google Scholar 

  • Yue Z (2012) Application of the projection method to determine weights of decision makers for group decision making. Scientia Iranica 19(3):872–878

    Article  Google Scholar 

  • Yue ZL (2012) Approach to group decision making based on determining the weights of experts by using projection method. Appl Math Model 36(7):2900–2910

    Article  MathSciNet  MATH  Google Scholar 

  • Yue ZL (2013) An intuitionistic fuzzy projection-based approach for partner selection. Appl Math Model 37(23):9538–9551

    Article  MathSciNet  Google Scholar 

  • Yue ZL (2014) TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting. Inf Sci 277:141–153

    Article  MathSciNet  MATH  Google Scholar 

  • Yue ZL, Jia YY (2015) A group decision making model with hybrid intuitionistic fuzzy information. Comput Ind Eng 87:202–212

    Article  Google Scholar 

  • Zhang J, Wu D, Olson DL (2005) The method of grey related analysis to multiple attribute decision making problems with interval numbers. Math Comput Modell 42(9–10):991–998

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang X, Jin F, Liu P (2013) A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number. Appl Math Model 37(5):3467–3477

    Article  MathSciNet  MATH  Google Scholar 

  • Zheng G, Jing Y, Huang H, Gao Y (2010) Application of improved grey relational projection method to evaluate sustainable building envelope performance. Appl Energy 87(2):710–720

    Article  Google Scholar 

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Acknowledgments

The authors are very grateful to the Managing Editor, Dr. Aniello Castiglione, and the anonymous reviewers for their insightful and constructive comments and suggestions that have led to an improved version of this paper.

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Correspondence to Zhongliang Yue.

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Communicated by V. Loia.

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Yue, Z., Jia, Y. A direct projection-based group decision-making methodology with crisp values and interval data. Soft Comput 21, 2395–2405 (2017). https://doi.org/10.1007/s00500-015-1953-5

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