Multiple attribute group decision making based on generalized trapezoid fuzzy linguistic prioritized weighted average operator

In this paper, we investigate the trapezoid fuzzy linguistic multiple attribute group decision making problem with priority considerations among attributes as well as decision makers. By combining the idea of generalized mean and prioritized weighted average operator, we propose a new prioritized weighted aggregation operator called generalized trapezoid fuzzy linguistic prioritized weighted average (GTFLPWA) operator for aggregating trapezoid fuzzy linguistic information. Properties and special cases of the new aggregation operator are studied in detail. Furthermore, using GTFLPWA operator, an approach to deal with multiple attribute group decision-making problems under trapezoid fuzzy linguistic environments is developed. Finally, a practical example is illustrated to show the feasibility and superiority of the proposed approach.

[1]  R. Mesiar,et al.  Aggregation operators: new trends and applications , 2002 .

[2]  José M. Merigó,et al.  The uncertain induced quasi‐arithmetic OWA operator , 2011, Int. J. Intell. Syst..

[3]  Yu-Lin He,et al.  Fuzzy nonlinear regression analysis using a random weight network , 2016, Inf. Sci..

[4]  X. F. Zhao,et al.  Uncertain Linguistic Prioritized Aggregation Operators and their Application to Multiple Attribute Group Decision Making , 2013, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[5]  Florentin Smarandache,et al.  New Operations on Intuitionistic Fuzzy Soft Sets based on Second Zadeh's logical Operators , 2014 .

[6]  Rajkumar Verma,et al.  Fuzzy Generalized Prioritized Weighted Average Operator and its Application to Multiple Attribute Decision Making , 2014, Int. J. Intell. Syst..

[7]  Francisco Herrera,et al.  An Approach for Combining Linguistic and Numerical Information Based on the 2-Tuple Fuzzy Linguistic Representation Model in Decision-Making , 2000, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[8]  Yu-Lin He,et al.  Fuzziness based semi-supervised learning approach for intrusion detection system , 2017, Inf. Sci..

[9]  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..

[10]  Mariano Eriz Aggregation Functions: A Guide for Practitioners , 2010 .

[11]  José M. Merigó,et al.  Induced and uncertain heavy OWA operators , 2011, Comput. Ind. Eng..

[12]  Witold Pedrycz,et al.  A Study on Relationship Between Generalization Abilities and Fuzziness of Base Classifiers in Ensemble Learning , 2015, IEEE Transactions on Fuzzy Systems.

[13]  Peide Liu,et al.  The trapezoid fuzzy linguistic Bonferroni mean operators and their application to multiple attribute decision making , 2012 .

[14]  Guiwu Wei,et al.  Hesitant fuzzy prioritized operators and their application to multiple attribute decision making , 2012, Knowl. Based Syst..

[15]  Janusz Kacprzyk,et al.  Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice , 2011, Studies in Fuzziness and Soft Computing.

[16]  Zeshui Xu,et al.  An Approach Based on Similarity Measure to Multiple Attribute Decision Making with Trapezoid Fuzzy Linguistic Variables , 2005, FSKD.

[17]  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..

[18]  Guiwu Wei,et al.  Fuzzy number intuitionistic fuzzy prioritized operators and their application to multiple attribute decision making , 2013, J. Intell. Fuzzy Syst..

[19]  Peide Liu,et al.  Multiple Attribute Decision Making Method Based on the Trapezoid Fuzzy Linguistic Hybrid Harmonic Averaging Operator , 2012, Informatica.

[20]  Peide Liu,et al.  The multiple-attribute decision making method based on the TFLHOWA operator , 2010, Comput. Math. Appl..

[21]  Gui-Wu Wei,et al.  FIOWHM operator and its application to multiple attribute group decision making , 2011, Expert Syst. Appl..

[22]  Xuelan Zeng,et al.  A New Priority Method for Triangular Fuzzy Number Complementary Judgment Matrix , 2007, Third International Conference on Natural Computation (ICNC 2007).

[23]  José M. Merigó,et al.  Linguistic Aggregation Operators for Linguistic Decision Making Based on the Dempster-Shafer Theory of Evidence , 2010, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[24]  B. D. Sharma,et al.  Trapezoid fuzzy linguistic prioritized weighted average operators and their application to multiple attribute group decision-making , 2014 .

[25]  Z. S. Xu,et al.  Eowa And Eowg Operators For Aggregating Linguistic Labels Based On Linguistic Preference Relations , 2004, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[26]  Zeshui Xu,et al.  Group Decision Making with Triangular Fuzzy Linguistic Variables , 2007, IDEAL.

[27]  Wei Xiong,et al.  A Model for Decision Making with Missing, Imprecise, and Uncertain Evaluations of Multiple Criteria , 2012, Int. J. Intell. Syst..

[28]  Ronald R. Yager,et al.  Prioritized OWA aggregation , 2009, Fuzzy Optim. Decis. Mak..

[29]  Xu Ze-shui A Fuzzy Ordered Weighted Geometric Operator and Its Application in Fuzzy AHP , 2002 .

[30]  Ju Shiguang,et al.  Sensing the Material Position in Construction Project , 2009 .

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

[32]  R. Yager Families of OWA operators , 1993 .

[33]  R. Yager Quantifier guided aggregation using OWA operators , 1996, Int. J. Intell. Syst..

[34]  José M. Merigó,et al.  A unified model between the weighted average and the induced OWA operator , 2011, Expert Syst. Appl..

[35]  Carlo Bonferroni Sulle medie multiple di potenze , 1950 .

[36]  Xudong Luo,et al.  A Spectrum of Weighted Compromise Aggregation Operators: A Generalization of Weighted Uninorm Operator , 2015, Int. J. Intell. Syst..

[37]  G. Wei,et al.  Uncertain prioritized operators and their application to multiple attribute group decision making , 2013 .

[38]  Xizhao Wang,et al.  Fuzziness based sample categorization for classifier performance improvement , 2015, J. Intell. Fuzzy Syst..

[39]  Guiwu Wei,et al.  Some prioritized aggregating operators with linguistic information and their application to multiple attribute group decision making , 2014, J. Intell. Fuzzy Syst..

[40]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[41]  José M. Merigó,et al.  THE FUZZY GENERALIZED OWA OPERATOR AND ITS APPLICATION IN STRATEGIC DECISION MAKING , 2010, Cybern. Syst..

[42]  Z. S. Xu,et al.  The ordered weighted geometric averaging operators , 2002, Int. J. Intell. Syst..

[43]  Z. S. Xu,et al.  An overview of operators for aggregating information , 2003, Int. J. Intell. Syst..

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

[45]  Gloria Bordogna,et al.  A linguistic modeling of consensus in group decision making based on OWA operators , 1997, IEEE Trans. Syst. Man Cybern. Part A.

[46]  Gui-Wu Wei,et al.  Trapezoid Fuzzy Linguistic Weighted Geometric Averaging Operator , 2007, Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007).

[47]  Francisco Herrera,et al.  The ordered weighted Geometric operator: properties and application in MCDM problems , 2000 .

[48]  János C. Fodor,et al.  Characterization of the ordered weighted averaging operators , 1995, IEEE Trans. Fuzzy Syst..

[49]  Wei Gui-wu Fuzzy ordered weighted harmonic averaging operator and its application to decision making , 2009 .

[50]  Ronald R. Yager,et al.  Centered OWA Operators , 2007, Soft Comput..

[51]  Chen Hua-you Induced Ordered Weighted Harmonic Averaging(IOWHA)Operator and Its Application to Combination Forecasting Method , 2004 .

[52]  Ronald R. Yager,et al.  Prioritized aggregation operators , 2008, Int. J. Approx. Reason..

[53]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decision-making , 1988 .

[54]  Florentin Smarandache,et al.  New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set , 2014 .

[55]  Liu Pei-de,et al.  Multiple Attribute Decision Making Method Based on trapezoid Fuzzy Linguistic Variables , 2011 .

[56]  Xu Ze-shui,et al.  On priority method of triangular fuzzy number complementary judgement matrix , 2003 .

[57]  J. Merigó,et al.  The Induced Generalized OWA Operator , 2009, EUSFLAT Conf..

[58]  Ming-yuan Chen,et al.  Induced generalized intuitionistic fuzzy OWA operator for multi-attribute group decision making , 2012, Expert Syst. Appl..

[59]  Nicholas R. Jennings,et al.  Prioritised fuzzy constraint satisfaction problems: axioms, instantiation and validation , 2003, Fuzzy Sets Syst..

[60]  W. Pedrycz,et al.  Generalized means as model of compensative connectives , 1984 .

[61]  Janusz Kacprzyk,et al.  The Ordered Weighted Averaging Operators , 1997 .