Teaching Performance Evaluation Based on the Proportional Hesitant Fuzzy Linguistic Prioritized Choquet Aggregation Operator

The quality of teaching can be improved by teaching performance evaluation frommultiple experts, which is a multiple attribute group decision-making (MAGDM) problem. In this paper, a group decision-making method under proportional hesitant fuzzy linguistic environment is proposed to evaluate teaching performance. Firstly, proportional hesitant fuzzy linguistic term set (PHFLTS) is applied to express the decisionmakers’ (DMs) preferences for teaching performance index. Secondly, thePHFLPrCA operator is developed and its properties are discussed. Then based on the PHFLPrCA operator, aMAGDMmethod is formulated. Thirdly, the method is applied in teaching performance evaluation of Chinese-foreign cooperative education project. Finally, this method is proved more scientific, objective and accurate by compared with other two methods.

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

[2]  Michio Sugeno,et al.  Fuzzy Measure and Fuzzy Integral , 1972 .

[3]  M. Grabisch The application of fuzzy integrals in multicriteria decision making , 1996 .

[4]  Luis Martínez,et al.  Identifying and prioritizing factors affecting in-cabin passenger comfort on high-speed rail in China: A fuzzy-based linguistic approach , 2020, Appl. Soft Comput..

[5]  Yin-Feng Xu,et al.  Consistency and consensus measures for linguistic preference relations based on distribution assessments , 2014, Inf. Fusion.

[6]  Francisco Herrera,et al.  Hesitant Fuzzy Linguistic Term Sets for Decision Making , 2012, IEEE Transactions on Fuzzy Systems.

[7]  Marija Kuzmanovic,et al.  A Conjoint-based approach to student evaluations of teaching performance , 2013, Expert Syst. Appl..

[8]  Hu-Chen Liu,et al.  New approach for quality function deployment based on proportional hesitant fuzzy linguistic term sets and prospect theory , 2019, Int. J. Prod. Res..

[9]  Peide Liu,et al.  Multi-criteria decision-making method based on intuitionistic trapezoidal fuzzy prioritised owa operator , 2016 .

[10]  Rosa M. Rodríguez,et al.  Computing With Comparative Linguistic Expressions and Symbolic Translation for Decision Making: ELICIT Information , 2020, IEEE Transactions on Fuzzy Systems.

[11]  Francisco Herrera,et al.  A model of consensus in group decision making under linguistic assessments , 1996, Fuzzy Sets Syst..

[12]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning - II , 1975, Inf. Sci..

[13]  Peide Liu,et al.  Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making , 2016, J. Syst. Sci. Complex..

[14]  Peide Liu,et al.  Some q‐Rung Orthopai Fuzzy Bonferroni Mean Operators and Their Application to Multi‐Attribute Group Decision Making , 2018, Int. J. Intell. Syst..

[15]  Yi Yang,et al.  Proportional hesitant fuzzy linguistic term set for multiple criteria group decision making , 2016, Inf. Sci..

[16]  Peide Liu,et al.  HOTEL SELECTION UTILIZING ONLINE REVIEWS: A NOVEL DECISION SUPPORT MODEL BASED ON SENTIMENT ANALYSIS AND DL-VIKOR METHOD , 2019, Technological and Economic Development of Economy.

[17]  Zeshui Xu,et al.  Prioritized Measure-Guided Aggregation Operators , 2014, IEEE Transactions on Fuzzy Systems.

[18]  Zeshui Xu,et al.  Hesitant Fuzzy Linguistic VIKOR Method and Its Application in Qualitative Multiple Criteria Decision Making , 2015, IEEE Transactions on Fuzzy Systems.

[19]  Hongxing Li,et al.  Teaching performance evaluation by means of a hierarchical multifactorial evaluation model based on type-2 fuzzy sets , 2016, Applied Intelligence.

[20]  Zeshui Xu,et al.  Probabilistic linguistic term sets in multi-attribute group decision making , 2016, Inf. Sci..

[21]  Yi Yang,et al.  Fostering linguistic decision-making under uncertainty: A proportional interval type-2 hesitant fuzzy TOPSIS approach based on Hamacher aggregation operators and andness optimization models , 2019, Inf. Sci..

[22]  Guy De Tré,et al.  A large scale consensus reaching process managing group hesitation , 2018, Knowl. Based Syst..

[23]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[24]  Michel Grabisch,et al.  A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package , 2008, Eur. J. Oper. Res..

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

[26]  Peide Liu,et al.  Scaled Prioritized Operators Based on the Linguistic Intuitionistic Fuzzy Numbers and Their Applications to Multi-Attribute Decision Making , 2018, Int. J. Fuzzy Syst..

[27]  Luis Martínez,et al.  Uncertainty Measures of Extended Hesitant Fuzzy Linguistic Term Sets , 2018, IEEE Transactions on Fuzzy Systems.

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

[29]  Yan Sun,et al.  Multiple Group Decision Making for Selecting Emergency Alternatives: A Novel Method Based on the LDWPA Operator and LD-MABAC , 2020, International journal of environmental research and public health.

[30]  Lin Li,et al.  A multi-criteria decision-making model for hotel selection with linguistic distribution assessments , 2017, Appl. Soft Comput..

[31]  Yumei Wang,et al.  Intuitionistic Fuzzy Interaction Hamy Mean Operators and Their Application to Multi-attribute Group Decision Making , 2018, Group Decision and Negotiation.

[32]  Kwai-Sang Chin,et al.  A Novel MAGDM Approach With Proportional Hesitant Fuzzy Sets , 2018, Int. J. Comput. Intell. Syst..

[33]  L. A. ZADEH,et al.  The concept of a linguistic variable and its application to approximate reasoning - I , 1975, Inf. Sci..

[34]  E. Triantaphyllou,et al.  Ranking irregularities when evaluating alternatives by using some ELECTRE methods , 2008 .

[35]  Zeshui Xu,et al.  Total orders of extended hesitant fuzzy linguistic term sets: Definitions, generations and applications , 2016, Knowl. Based Syst..

[36]  Min Li,et al.  Evaluation and Selection of HazMat Transportation Alternatives: A PHFLTS- and TOPSIS-Integrated Multi-Perspective Approach , 2019, International journal of environmental research and public health.

[37]  M. Grabisch Fuzzy integral in multicriteria decision making , 1995 .