An approach for facility location selection based on optimal aggregation operator

The GILSCA operator considers the interactive phenomenon among experts (or attributes).2-tuple linguistic representation is given to avoid the loss of interval linguistic information.The GILSCA operator illustrates a new type of optimal aggregation which is based on chi-square deviation.Some effective formulae and programming models are provided to determine the fuzzy measure. To consider interactive phenomenon among experts (or attributes) in multiple attribute group decision making, a new interval linguistic aggregation operator named the generalized interval 2-tuple linguistic Shapley chi-square averaging operator is proposed which is based on the Shapley value and 2-tuple linguistic representation. The λ -fuzzy measure is applied to simplify the fuzzy measure on attribute set (or expert set), and some formulae and programming models are proposed to determine the λ -fuzzy measure. Meanwhile some desirable properties of aggregation operator are studied. With respect to group decision making under interval linguistic environment, the GOGDM algorithm is introduced in detail. Furthermore, the facility location selection is applied to illustrate the practicality and validity of the GOGDM algorithm. Comparative analysis are proposed to show the advantage and validity of the proposed approach.

[1]  Zeshui Xu,et al.  An Approach To Group Decision Making Based On Incomplete Linguistic Preference Relations , 2005, Int. J. Inf. Technol. Decis. Mak..

[2]  Cheng Xiao-hong,et al.  Multi-criteria linguistic interval group decision-making approach , 2008 .

[3]  Huimin Zhang.  Some interval-valued 2-tuple linguistic aggregation operators and application in multiattribute group decision making , 2013 .

[4]  Francisco Herrera,et al.  Linguistic decision analysis: steps for solving decision problems under linguistic information , 2000, Fuzzy Sets Syst..

[5]  Hu-Chen Liu,et al.  Material selection using an interval 2-tuple linguistic VIKOR method considering subjective and objective weights , 2013 .

[6]  Qing Sun,et al.  Group decision making based on induced uncertain linguistic OWA operators , 2013, Decis. Support Syst..

[7]  Witold Pedrycz,et al.  A method based on PSO and granular computing of linguistic information to solve group decision making problems defined in heterogeneous contexts , 2013, Eur. J. Oper. Res..

[8]  Francisco Herrera,et al.  Direct approach processes in group decision making using linguistic OWA operators , 1996, Fuzzy Sets Syst..

[9]  Francisco Herrera,et al.  A 2-tuple fuzzy linguistic representation model for computing with words , 2000, IEEE Trans. Fuzzy Syst..

[10]  Yejun Xu,et al.  Some methods to deal with unacceptable incomplete 2-tuple fuzzy linguistic preference relations in group decision making , 2014, Knowl. Based Syst..

[11]  Ling Huang,et al.  An Approach to Group Decision Making Problems Based on 2-Tuple Linguistic Aggregation Operators , 2008, 2008 ISECS International Colloquium on Computing, Communication, Control, and Management.

[12]  Shu-Ping Wan,et al.  2-Tuple linguistic hybrid arithmetic aggregation operators and application to multi-attribute group decision making , 2013, Knowl. Based Syst..

[13]  Pao-Long Chang,et al.  A fuzzy multi-criteria decision making method for technology transfer strategy selection in biotechnology , 1994 .

[14]  C. Pappis,et al.  A fuzzy-linguistic approach to a multi-criteria sequencing problem , 1996 .

[15]  Tao Li,et al.  Consensus model for multiple criteria group decision making under intuitionistic fuzzy environment , 2014, Knowl. Based Syst..

[16]  E. Blankmeyer.  Approaches to consistency adjustment , 1987 .

[17]  Francisco Herrera,et al.  A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets , 2013, Inf. Sci..

[18]  Bo Peng,et al.  Uncertain pure linguistic hybrid harmonic averaging operator and generalized interval aggregation operator based approach to group decision making , 2012, Knowl. Based Syst..

[19]  Xiao-hong Chen,et al.  Some interval-valued intuitionistic uncertain linguistic Choquet operators and their application to multi-attribute group decision making , 2014 .

[20]  Jin-Han Park,et al.  2-Tuple linguistic harmonic operators and their applications in group decision making , 2013, Knowl. Based Syst..

[21]  Zeshui Xu,et al.  Induced uncertain linguistic OWA operators applied to group decision making , 2006, Inf. Fusion.

[22]  Jian-Bo Yang,et al.  A two-stage logarithmic goal programming method for generating weights from interval comparison matrices , 2005, Fuzzy Sets Syst..

[23]  Ronald R. Yager,et al.  Generalized OWA Aggregation Operators , 2004, Fuzzy Optim. Decis. Mak..

[24]  Zhi-Ping Fan,et al.  The Uncertain Two-tuple Ordered Weighted Averaging Operator , 2006 .

[25]  Zeshui Xu,et al.  Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment , 2004, Inf. Sci..

[26]  L. Shapley.  A Value for n-person Games , 1988 .

[27]  Yejun Xu,et al.  Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment , 2011, Appl. Soft Comput..

[28]  Gui-Wu Wei,et al.  Uncertain Linguistic Hybrid Geometric Mean Operator and its Application to Group Decision Making under Uncertain Linguistic Environment , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[29]  Zhongsheng Hua,et al.  A chi-square method for obtaining a priority vector from multiplicative and fuzzy preference relations , 2007, Eur. J. Oper. Res..

[30]  Huayou Chen,et al.  Generalized Multiple Averaging Operators and their Applications to Group Decision Making , 2013 .

[31]  Peide Liu,et al.  2-Dimension uncertain linguistic power generalized weighted aggregation operator and its application in multiple attribute group decision making , 2014, Knowl. Based Syst..

[32]  Shyi-Ming Chen,et al.  A new method for tool steel materials selection under fuzzy environment , 1997, Fuzzy Sets Syst..

[33]  Qiang Zhang,et al.  Multi-attribute decision analysis under a linguistic hesitant fuzzy environment , 2014, Inf. Sci..

[34]  Jie Lu,et al.  Web-based Multi-Criteria Group Decision Support System with Linguistic Term Processing Function , 2005, IEEE Intell. Informatics Bull..

[35]  Zeshui Xu,et al.  On generalized induced linguistic aggregation operators , 2006, Int. J. Gen. Syst..

[36]  Zeshui Xu,et al.  An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations , 2006, Decis. Support Syst..

[37]  Enrique Herrera-Viedma,et al.  Evaluating the informative quality of documents in SGML format from judgements by means of fuzzy linguistic techniques based on computing with words , 2003, Inf. Process. Manag..

[38]  G. Wei,et al.  Uncertain linguistic Bonferroni mean operators and their application to multiple attribute decision making , 2013 .

[39]  Z. Xu.  Generalized chi square method for the estimation of weights , 2000 .

[40]  Zeshui Xu.  A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information , 2006 .

[41]  Xin Zhang,et al.  Some intuitionistic uncertain linguistic Heronian mean operators and their application to group decision making , 2014, Appl. Math. Comput..

[42]  José M. Merigó,et al.  Induced 2-tuple linguistic generalized aggregation operators and their application in decision-making , 2013, Inf. Sci..