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Soft Computing
Published in: Soft Computing 12/2017

18-02-2016 | Methodologies and Application

A multiple attribute interval type-2 fuzzy group decision making and its application to supplier selection with extended LINMAP method

Authors: Jindong Qin, Xinwang Liu, Witold Pedrycz

Published in: Soft Computing | Issue 12/2017

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Abstract

Supplier selection is a key issue in supply chain management, which directly impacts the manufacturer’s performance. The problem can be viewed as a multiple attribute group decision making (MAGDM) that concerns many conflicting evaluation attributes, both being of qualitative and quantitative nature. Due to the increasing complexity and uncertainty of socio-economic environment, some evaluations of attributes are not adequately represented by numerical assessments and type-1 fuzzy sets. In this paper, we develop some linear programming models with the aid of multidimensional analysis of preference (LINMAP) method to solve interval type-2 fuzzy MAGDM problems, in which the information about attribute weights is incompletely known, and all pairwise comparison judgments over alternatives are represented by IT2FSs. First, we introduce a new distance measure based on the centroid interval between the IT2FSs. Then, we construct the linear programming model to determine the interval type-2 fuzzy positive ideal solution (IT2PIS) and corresponding attributes weight vector. Based on it, an extended LINMAP method to solve MAGDM problem under IT2FSs environment is developed. Finally, a supplier selection example is provided to demonstrate the usefulness of the proposed method.
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Literature
Akarte M, Surendra N, Ravi B, Rangaraj N (2001) Web based casting supplier evaluation using analytical hierarchy process. J Oper Res Soc 52:511–522CrossRefMATH
Amid A, Ghodsypour S, O’brien C (2006) Fuzzy multiobjective linear model for supplier selection in a supply chain. Int J Prod Econ 104:394–407CrossRef
Bereketli I, Genevois ME, Albayrak YE, Ozyol M (2011) WEEE treatment strategies’ evaluation using fuzzy LINMAP method. Expert Syst Appl 38(1):71–79CrossRef
Bevilacqua M, Ciarapica F, Giacchetta G (2006) A fuzzy-QFD approach to supplier selection. J Purch Supply Manage 12(1):14–27CrossRef
Boran FE, Genç S, Kurt M, Akay D (2009) A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst Appl 36:11363–11368CrossRef
Chai J, Liu JN, Ngai EW (2013) Application of decision-making techniques in supplier selection: a systematic review of literature. Expert Syst Appl 40:3872–3885CrossRef
Chan FT, Kumar N (2007) Global supplier development considering risk factors using fuzzy extended AHP-based approach. Omega 35:417–431CrossRef
Chen T-Y (2013) An interactive method for multiple criteria group decision analysis based on interval type-2 fuzzy sets and its application to medical decision making. Fuzzy Optim Decis Making 12:323–356MathSciNetCrossRef
Chen T-Y (2014) An ELECTRE-based outranking method for multiple criteria group decision making using interval type-2 fuzzy sets. Inf Sci 263:1–21MathSciNetCrossRefMATH
Chen T-Y (2015) An interval type-2 fuzzy LINMAP method with approximate ideal solutions for multiple criteria decision analysis. Inf Sci 297:50–79CrossRef
Chen S-M, Lee L-W (2010) Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method. Expert Syst Appl 37(4):2790–2798CrossRef
Chen TY, Chang CH, Lu JR (2013) The extended QUALIFLEX method for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making. Eur J Oper Res 226(3):615–625MathSciNetCrossRefMATH
Chiclana F, Zhou SM (2013) Type-reduction of general type-2 fuzzy sets: the type-1 OWA approach. Int J Intell Syst 28(5):505–522CrossRef
Copeland AH (1951) A reasonable social welfare function. University of Michigan seminar on applications of mathematics to the social sciences 12:22–35
Ertay T, Kahveci A, Tabanlı R (2011) An integrated multi-criteria group decision-making approach to efficient supplier selection and clustering using fuzzy preference relations. Int J Comput Integr Manuf 24(12):1152–1167CrossRef
Greenfield S, Chiclana F (2013a) Accuracy and complexity evaluation of defuzzification strategies for the discretised interval type-2 fuzzy set. Int J Approx Reason 54(8):1013–1033MathSciNetCrossRefMATH
Greenfield S, Chiclana F (2013b) Defuzzification of the discretised generalised type-2 fuzzy set: experimental evaluation. Inf Sci 244:1–25MathSciNetCrossRefMATH
Greenfield S, Chiclana F, Coupland S, John R (2009) The collapsing method of defuzzification for discretised interval type-2 fuzzy sets. Inf Sci 179(13):2055–2069MathSciNetCrossRefMATH
Greenfield S, Chiclana F, John R, Coupland S (2012) The sampling method of defuzzification for type-2 fuzzy sets: experimental evaluation. Inf Sci 189:77–92MathSciNetCrossRef
Hagras H (2004) A hierarchical type-2 fuzzy logic control architecture for autonomous mobile robots. IEEE Trans Fuzzy Syst 12(4):524–539CrossRef
Ho W, Xu X, Dey PK (2010) Multi-criteria decision making approaches for supplier evaluation and selection: a literature review. Eur J Oper Res 202:16–24CrossRefMATH
Hu J, Zhang Y, Chen X, Liu Y (2013) Multi-criteria decision making method based on possibility degree of interval type-2 fuzzy number. Knowl-Based Syst 43:21–29CrossRef
John R, Coupland S (2007) Type-2 fuzzy logic: a historical view. IEEE Comput Intell Mag 2(1):57–62CrossRef
Kahraman C, Cebeci U, Ulukan Z (2003) Multi-criteria supplier selection using fuzzy AHP. Logist Inf Manag 16:382–394CrossRef
Kahraman C, Ertay T, Büyüközkan G (2006) A fuzzy optimization model for QFD planning process using analytic network approach. Eur J Oper Res 171:390–411CrossRefMATH
Karnik NN, Mendel JM (2001) Centroid of a type-2 fuzzy set. Inf Sci 132(1):195–220
Labib AW (2011) A supplier selection model: a comparison of fuzzy logic and the analytic hierarchy process. Int J Prod Res 49:6287–6299CrossRef
Li D-F, Wan S-P (2013) Fuzzy linear programming approach to multiattribute decision making with multiple types of attribute values and incomplete weight information. Appl Soft Comput 13(11):4333–4348CrossRef
Liang Q, Mendel JM (2000) Interval type-2 fuzzy logic systems: theory and design. IEEE Trans Fuzzy Syst 8(5):535–550CrossRef
Liu F (2008) An efficient centroid type-reduction strategy for general type-2 fuzzy logic system. Inf Sci 178(9):2224–2236MathSciNetCrossRef
Liu P, Zhang X (2011) Research on the supplier selection of a supply chain based on entropy weight and improved ELECTRE-III method. Int J Prod Res 49(3):637–646CrossRef
Mendel JM, John RB (2002) Type-2 fuzzy sets made simple. IEEE Trans Fuzzy Syst 10:117–127CrossRef
Ngan S-C (2013) A type-2 linguistic set theory and its application to multi-criteria decision making. Comput Ind Eng 64(2):721–730CrossRef
Park KS (2004) Mathematical programming models for characterizing dominance and potential optimality when multicriteria alternative values and weights are simultaneously incomplete. IEEE Trans Syst Man Cybern Part A Syst Hum 34(5):601–614CrossRef
Park KS, Kim SH (1997) Tools for interactive multiattribute decisionmaking with incompletely identified information. Eur J Oper Res 98(1):111–123CrossRefMATH
Pitchipoo P, Venkumar P, Rajakarunakaran S (2013) Fuzzy hybrid decision model for supplier evaluation and selection. Int J Prod Res 51(13):3903–3919
Qin J, Liu X (2014) Frank aggregation operators for triangular interval type-2 fuzzy set and its application in multiple attribute group decision making. J Appl Math. doi:10.​1155/​2014/​923213
Qin J, Liu X (2015) Multi-attribute group decision making using combined ranking value under interval type-2 fuzzy environment. Inf Sci 297:293–315MathSciNetCrossRefMATH
Samvedi A, Jain V, Chan FT (2012) An integrated approach for machine tool selection using fuzzy analytical hierarchy process and grey relational analysis. Int J Prod Res 50(12):3211–3221CrossRef
Sanayei A, Farid Mousavi S, Yazdankhah A (2010) Group decision making process for supplier selection with VIKOR under fuzzy environment. Expert Syst Appl 37:24–30CrossRef
Srinivasan V, Shocker AD (1973) Linear programming techniques for multidimensional analysis of preferences. Psychometrika 38:337–369MathSciNetCrossRefMATH
Wan S-P, Li D-F (2013) Fuzzy LINMAP approach to heterogeneous MADM considering comparisons of alternatives with hesitation degrees. Omega 41:925–940CrossRef
Wang J-C, Chen T-Y (2014) A closeness coefficient-based multiple criteria decision-making method using interval type-2 fuzzy sets and its application to watershed site selection. J Ind Prod Eng 31(1):1–16
Wang W, Liu X (2013) An extended LINMAP method for multi-attribute group decision making under interval-valued intuitionistic fuzzy environment. Procedia Comput Sci 17:490–497CrossRef
Wang J-W, Cheng C-H, Huang K-C (2009) Fuzzy hierarchical TOPSIS for supplier selection. Appl Soft Comput 9(1):377–386CrossRef
Wang W, Liu X, Qin Y (2012) Multi-attribute group decision making models under interval type-2 fuzzy environment. Knowl Based Syst 30:121–128CrossRef
Wu D, Mendel JM (2007) Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Trans Fuzzy Syst 15(6):1145–1161CrossRef
Wu D, Mendel JM (2010) Computing with words for hierarchical decision making applied to evaluating a weapon system. IEEE Trans Fuzzy Syst 18(3):441–460CrossRef
Xia H-C, Li D-F, Zhou J-Y, Wang J-M (2006) Fuzzy LINMAP method for multiattribute decision making under fuzzy environments. J Computer Syst Sci 72:741–759MathSciNetCrossRefMATH
Zhang X, Xu Z (2014) Interval programming method for hesitant fuzzy multi-attribute group decision making with incomplete preference over alternatives. Comput Ind Eng 75:217–229CrossRef
Zhou S-M, Chiclana F, John RI, Garibaldi JM (2008) Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers. Fuzzy Sets Syst 159(24):3281–3296MathSciNetCrossRefMATH
Zhou S-M, Chiclana F, John R, Garibaldi JM (2011) Alpha-level aggregation: a practical approach to type-1 OWA operation for aggregating uncertain information with applications to breast cancer treatments. IEEE Trans Knowl Data Eng 23(10):1455–1468CrossRef
Metadata
Title
A multiple attribute interval type-2 fuzzy group decision making and its application to supplier selection with extended LINMAP method
Authors
Jindong Qin
Xinwang Liu
Witold Pedrycz
Publication date
18-02-2016
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 12/2017
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-015-2004-y

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