A Heterogeneous Linguistic MAGDM Framework to Classroom Teaching Quality Evaluation

Focusing on multi-attribute group decision making (MAGDM) regarding classroom teaching quality evaluation, this article aims to devise a novel evaluation framework based on heterogeneous linguistic information. In this framework, a four-level evaluation process of classroom teaching quality is established. Then, the weights of the sub-attributes are estimated objectively by integrating a newly proposed score function of interval linguistic 2-tuples and optimization models which consider the realistic situation that alternatives are not equally weighted. Subsequently, the exploitation process is implemented by two branches: taking the possibility measurement to rank teachers with respect to different attributes and extending the technique for order preference by similarity to ideal solution (TOPSIS) method to assess the overall performance of teachers. Finally, a simulated case is furnished to illustrate how to apply the presented framework to realistic classroom teaching quality evaluation problems. Hopefully, this work would be beneficial to the improvement of classroom teaching quality.

[1]  Huimin Zhang,et al.  The multiattribute group decision making method based on aggregation operators with interval-valued 2-tuple linguistic information , 2012, Math. Comput. Model..

[2]  Zeshui Xu,et al.  Soft computing based on maximizing consensus and fuzzy TOPSIS approach to interval-valued intuitionistic fuzzy group decision making , 2015, Appl. Soft Comput..

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

[4]  Francisco Herrera,et al.  Connecting the linguistic hierarchy and the numerical scale for the 2-tuple linguistic model and its use to deal with hesitant unbalanced linguistic information , 2016, Inf. Sci..

[5]  F. Chan,et al.  Multi-attribute group decision-making with multi-granularity linguistic assessment information: An improved approach based on deviation and TOPSIS , 2013 .

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

[7]  Yong Zhou,et al.  Notice of RetractionUniversity Teaching Quality Evaluation Using Fuzzy Comprehensive Evaluation Approach , 2010, 2010 Second International Workshop on Education Technology and Computer Science.

[8]  Jian-qiang Wang,et al.  Consensus-based framework to MCGDM under multi-granular uncertain linguistic environment , 2017, J. Intell. Fuzzy Syst..

[9]  Daniela Fuchs-Hanusch,et al.  A framework for water loss management in developing countries under fuzzy environment: Integration of Fuzzy AHP with Fuzzy TOPSIS , 2016, Expert Syst. Appl..

[10]  Soung Hie Kim,et al.  An interactive procedure for multi-attribute group decision making with incomplete information , 1999, Comput. Oper. Res..

[11]  Hoang Nguyen,et al.  A new knowledge-based measure for intuitionistic fuzzy sets and its application in multiple attribute group decision making , 2015, Expert Syst. Appl..

[12]  Peide Liu,et al.  Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information , 2015, Neural Computing and Applications.

[13]  Hong-yu Zhang,et al.  Distance-Based Multi-Criteria Group Decision-Making Approaches with Multi-Hesitant Fuzzy Linguistic Information , 2017, Int. J. Inf. Technol. Decis. Mak..

[14]  Hu-Chen Liu,et al.  An interval-valued intuitionistic fuzzy MABAC approach for material selection with incomplete weight information , 2016, Appl. Soft Comput..

[15]  Debashree Guha,et al.  Article in Press G Model Applied Soft Computing Partitioned Bonferroni Mean Based on Linguistic 2-tuple for Dealing with Multi-attribute Group Decision Making , 2022 .

[16]  Yejun Xu,et al.  A consensus reaching model for 2-tuple linguistic multiple attribute group decision making with incomplete weight information , 2016, Int. J. Syst. Sci..

[17]  Muharrem Dügenci,et al.  A new distance measure for interval valued intuitionistic fuzzy sets and its application to group decision making problems with incomplete weights information , 2016, Appl. Soft Comput..

[18]  Eric Levrat,et al.  Subjective evaluation of car seat comfort with fuzzy set techniques , 1997 .

[19]  Zeshui Xu,et al.  An interactive method for fuzzy multiple attribute group decision making , 2007, Inf. Sci..

[20]  Zhou-Jing Wang,et al.  An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights , 2009, Inf. Sci..

[21]  Hui Wang,et al.  A Multi Criteria Group Decision-making Model for Teacher Evaluation in Higher Education Based on Cloud Model and Decision Tree , 2016 .

[22]  Wei-Shen Tai,et al.  A new evaluation model for intellectual capital based on computing with linguistic variable , 2009, Expert Syst. Appl..

[23]  Peng Dong,et al.  Evaluation for Teaching Quality Based on Fuzzy Neural Network , 2009, 2009 First International Workshop on Education Technology and Computer Science.

[24]  Enrique Herrera-Viedma,et al.  Consensus reaching model in the complex and dynamic MAGDM problem , 2016, Knowl. Based Syst..

[25]  Shu-Ping Wan,et al.  Power geometric operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making , 2015, Appl. Soft Comput..

[26]  Shui Yu,et al.  Linguistic Computational Model Based on 2-Tuples and Intervals , 2013, IEEE Transactions on Fuzzy Systems.

[27]  Xin Chen,et al.  The 2-Rank Consensus Reaching Model in the Multigranular Linguistic Multiple-Attribute Group Decision-Making , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[28]  Zeshui Xu Deviation measures of linguistic preference relations in group decision making , 2005 .

[29]  Eric Levrat,et al.  Subjective evaluation of car seat comfort with fuzzy set techniques , 1997, Int. J. Intell. Syst..

[30]  Gui-Wu Wei,et al.  Extension of TOPSIS method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information , 2010, Knowledge and Information Systems.

[31]  Zeshui Xu,et al.  Uncertain Multi-Attribute Decision Making: Methods and Applications , 2015 .

[32]  Yin-Feng Xu,et al.  Computing the Numerical Scale of the Linguistic Term Set for the 2-Tuple Fuzzy Linguistic Representation Model , 2009, IEEE Transactions on Fuzzy Systems.

[33]  Luis Martínez-López,et al.  An Overview on Fuzzy Modelling of Complex Linguistic Preferences in Decision Making , 2016, Int. J. Comput. Intell. Syst..

[34]  Gui-Wu Wei,et al.  GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting , 2010, Knowl. Based Syst..

[35]  Jianjun Zhu,et al.  Regret theory-based group decision-making with multidimensional preference and incomplete weight information , 2016, Inf. Fusion.

[36]  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.

[37]  Ling Xu,et al.  Evaluation of sustainable acid rain control options utilizing a fuzzy TOPSIS multi-criteria decision analysis model frame work , 2017 .

[38]  Jing Wang,et al.  An extended TODIM approach with intuitionistic linguistic numbers , 2018, Int. Trans. Oper. Res..

[39]  Gwo-Hshiung Tzeng,et al.  Extended VIKOR method in comparison with outranking methods , 2007, Eur. J. Oper. Res..

[40]  Enrique Herrera-Viedma,et al.  Consistency-Driven Automatic Methodology to Set Interval Numerical Scales of 2-Tuple Linguistic Term Sets and Its Use in the Linguistic GDM With Preference Relation , 2015, IEEE Transactions on Cybernetics.

[41]  Jianqiang Wang,et al.  Stochastic multicriteria decision-making approach based on SMAA-ELECTRE with extended gray numbers , 2019, Int. Trans. Oper. Res..

[42]  Jian Li,et al.  Multi-criteria Outranking Methods with Hesitant Probabilistic Fuzzy Sets , 2017, Cognitive Computation.

[43]  Jeng-Fung Chen,et al.  Evaluating teaching performance based on fuzzy AHP and comprehensive evaluation approach , 2015, Appl. Soft Comput..

[44]  Yucheng Dong,et al.  Consensus-Based Group Decision Making Under Multi-granular Unbalanced 2-Tuple Linguistic Preference Relations , 2015 .

[45]  Hong-yu Zhang,et al.  An extended outranking approach for multi-criteria decision-making problems with linguistic intuitionistic fuzzy numbers , 2017, Appl. Soft Comput..

[46]  Jian-qiang Wang,et al.  A shareholder voting method for proxy advisory firm selection based on 2-tuple linguistic picture preference relation , 2017, Appl. Soft Comput..

[47]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[48]  Soung Hie Kim,et al.  An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach , 1999, Eur. J. Oper. Res..

[49]  Chonghui Guo,et al.  A method for multi-granularity uncertain linguistic group decision making with incomplete weight information , 2012, Knowl. Based Syst..

[50]  Francisco Herrera,et al.  An overview on the 2-tuple linguistic model for computing with words in decision making: Extensions, applications and challenges , 2012, Inf. Sci..

[51]  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..

[52]  Gwo-Hshiung Tzeng,et al.  Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS , 2004, Eur. J. Oper. Res..