Projection-based approach to group decision-making with hybrid information representations and application to software quality evaluation

Abstract Group decision-making (GDM) is regarded as a main part of modern decision science. The weights of decision makers (DMs) are very important in the actual GDM process. How to determine the weights of DMs and to identify the alternatives are the main activities for GDM problems. This work is devoted to develop an entropy-based approach to determine the weights of DMs. Considering that the projection measure is able to provide not only the distance but also the angle between two decision objects, this article intends to identify the alternatives based on the projection measure. This research, however, also finds that the existing projection measures are unreasonable in real vector, interval vector and intuitionistic fuzzy vector settings. To solve this problem, this work provides a new normalized projection measure. Considering the demands of different attributes, this work presents a GDM method with hybrid information representations. An experimental analysis illustrates the practicability, feasibility and validity of method introduced in this paper.

[1]  Zeshui Xu,et al.  Projection Models for Intuitionistic Fuzzy Multiple Attribute Decision Making , 2010, Int. J. Inf. Technol. Decis. Mak..

[2]  Zeshui Xu,et al.  Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm , 2012, Knowl. Based Syst..

[3]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[4]  Gang Kou,et al.  Modelling influence in group decision making , 2016, Soft Computing.

[5]  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..

[6]  Ahmad Makui,et al.  Multi-attribute group decision making approach based on interval-valued intuitionistic fuzzy sets and evidential reasoning methodology , 2017, Soft Comput..

[7]  Francisco Herrera,et al.  Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations , 2001, Fuzzy Sets Syst..

[8]  Zeshui Xu,et al.  Hesitant fuzzy linguistic projection model to multi-criteria decision making for hospital decision support systems , 2018, Comput. Ind. Eng..

[9]  Yuying Jia,et al.  A group decision making model with hybrid intuitionistic fuzzy information , 2015, Comput. Ind. Eng..

[10]  Xiaoyang Liu,et al.  GRAP: Grey risk assessment based on projection in ad hoc networks , 2011, J. Parallel Distributed Comput..

[11]  Enrique Herrera-Viedma,et al.  A New Consensus Model for Group Decision Making Problems With Non-Homogeneous Experts , 2014, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[12]  Z. Yue.  Approach to group decision making based on determining the weights of experts by using projection method , 2012 .

[13]  Zeshui Xu,et al.  Minimizing Group Discordance Optimization Model for Deriving Expert Weights , 2012 .

[14]  Desheng Dash Wu,et al.  The method of grey related analysis to multiple attribute decision making problems with interval numbers , 2005, Math. Comput. Model..

[15]  Pankaj Gupta,et al.  Intuitionistic fuzzy multi-attribute group decision-making with an application to plant location selection based on a new extended VIKOR method , 2016, Inf. Sci..

[16]  Claude E. Shannon,et al.  A mathematical theory of communication , 1948, MOCO.

[17]  Yuying Jia,et al.  An application of soft computing technique in group decision making under interval-valued intuitionistic fuzzy environment , 2013, Appl. Soft Comput..

[18]  Chuan Yue,et al.  A projection-based approach to software quality evaluation from the users’ perspectives , 2018, International Journal of Machine Learning and Cybernetics.

[19]  Yucheng Dong,et al.  Multiperson decision making with different preference representation structures: A direct consensus framework and its properties , 2014, Knowl. Based Syst..

[20]  Francisco Herrera,et al.  Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations , 1998, Fuzzy Sets Syst..

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

[22]  Chonghui Guo,et al.  An approach to group decision making with heterogeneous incomplete uncertain preference relations , 2014, Comput. Ind. Eng..

[23]  Kevin Kam Fung Yuen,et al.  A fuzzy group analytical hierarchy process approach for software quality assurance management: Fuzzy logarithmic least squares method , 2011, Expert Syst. Appl..

[24]  Chuan Yue,et al.  Two normalized projection models and application to group decision-making , 2017, J. Intell. Fuzzy Syst..

[25]  Z. Yue.  A method for group decision-making based on determining weights of decision makers using TOPSIS , 2011 .

[26]  Zeshui Xu,et al.  On Method for Uncertain Multiple Attribute Decision Making Problems with Uncertain Multiplicative Preference Information on Alternatives , 2005, Fuzzy Optim. Decis. Mak..

[27]  Yucheng Dong,et al.  The fusion process with heterogeneous preference structures in group decision making: A survey , 2015, Inf. Fusion.

[28]  Chuan Yue,et al.  Entropy-based weights on decision makers in group decision-making setting with hybrid preference representations , 2017, Appl. Soft Comput..

[29]  Jie Lu,et al.  Decider: A fuzzy multi-criteria group decision support system , 2010, Knowl. Based Syst..

[30]  Zhongliang Yue,et al.  Extension of TOPSIS to determine weight of decision maker for group decision making problems with uncertain information , 2012, Expert Syst. Appl..

[31]  Chuan Yue,et al.  A Soft Approach to Evaluate the Customer Satisfaction in E-retailing , 2016 .

[32]  Shouzhen Zeng,et al.  A Projection Method for Multiple Attribute Group Decision Making with Intuitionistic Fuzzy Information , 2013, Informatica.

[33]  Lei Ying-jie.  A technique for constructing intuitionistic fuzzy entropy , 2007 .

[34]  Meir Kalech,et al.  Reducing preference elicitation in group decision making , 2016, Expert Syst. Appl..

[35]  Luis Martínez-López,et al.  Personalized individual semantics in computing with words for supporting linguistic group decision making. An application on consensus reaching , 2017, Inf. Fusion.

[36]  Yanbing Ju,et al.  Projection method for multiple criteria group decision making with incomplete weight information in linguistic setting , 2013 .

[37]  F. Chiclana,et al.  Strategic weight manipulation in multiple attribute decision making , 2018 .

[38]  F. Liu,et al.  An approach to group decision making based on interval multiplicative and fuzzy preference relations by using projection , 2013 .

[39]  Zeshui Xu,et al.  Heterogeneous multiple criteria group decision making with incomplete weight information: A deviation modeling approach , 2015, Inf. Fusion.

[40]  Qiang Zhang,et al.  Approaches to multiple-criteria group decision making based on interval-valued intuitionistic fuzzy Choquet integral with respect to the generalized λ-Shapley index , 2013, Knowl. Based Syst..

[41]  Zeshui Xu,et al.  Recent advances in intuitionistic fuzzy information aggregation , 2010, Fuzzy Optim. Decis. Mak..

[42]  Zeshui Xu,et al.  Dependent uncertain ordered weighted aggregation operators , 2008, Inf. Fusion.

[43]  Chuan Yue,et al.  A geometric approach for ranking interval-valued intuitionistic fuzzy numbers with an application to group decision-making , 2016, Comput. Ind. Eng..

[44]  Zhongliang Yue,et al.  Deriving decision maker's weights based on distance measure for interval-valued intuitionistic fuzzy group decision making , 2011, Expert Syst. Appl..

[45]  Danielle Azar,et al.  A hybrid heuristic approach to optimize rule-based software quality estimation models , 2009, Inf. Softw. Technol..

[46]  Ioannis K. Vlachos,et al.  Subsethood, entropy, and cardinality for interval-valued fuzzy sets - An algebraic derivation , 2007, Fuzzy Sets Syst..

[47]  Zeshui Xu,et al.  Group decision making based on multiple types of linguistic preference relations , 2008, Inf. Sci..

[48]  Hong-yu Zhang,et al.  Interval-valued intuitionistic fuzzy multi-criteria decision-making approach based on prospect score function , 2012, Knowl. Based Syst..

[49]  Wei Sun,et al.  Risk assessment of hydropower stations through an integrated fuzzy entropy-weight multiple criteria decision making method: A case study of the Xiangxi River , 2015, Expert Syst. Appl..

[50]  Chuan Yue,et al.  An interval-valued intuitionistic fuzzy projection-based approach and application to evaluating knowledge transfer effectiveness , 2018, Neural Computing and Applications.

[51]  Shu-Ping Wan,et al.  A new method for Atanassov's interval-valued intuitionistic fuzzy MAGDM with incomplete attribute weight information , 2015, Inf. Sci..

[52]  Mousavi Seyed Meysam,et al.  Designing a model of intuitionistic fuzzy VIKOR in multi-attribute group decision-making problems , 2016 .

[53]  Lin Li,et al.  Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project , 2018, Appl. Soft Comput..

[54]  Yuying Jia,et al.  A direct projection-based group decision-making methodology with crisp values and interval data , 2015, Soft Computing.

[55]  Jiuying Dong,et al.  A possibility degree method for interval-valued intuitionistic fuzzy multi-attribute group decision making , 2014, J. Comput. Syst. Sci..

[56]  Z. Yue.  An intuitionistic fuzzy projection-based approach for partner selection , 2013 .

[57]  Chuan Yue,et al.  Normalized projection approach to group decision-making with hybrid decision information , 2017, International Journal of Machine Learning and Cybernetics.

[58]  S. Meysam Mousavi,et al.  A new multi-criteria weighting and ranking model for group decision-making analysis based on interval-valued hesitant fuzzy sets to selection problems , 2015, Neural Computing and Applications.

[59]  Z. Yue.  Application of the projection method to determine weights of decision makers for group decision making , 2012 .

[60]  Fuad E. Alsaadi,et al.  Projection models for multiple attribute decision making with picture fuzzy information , 2016, International Journal of Machine Learning and Cybernetics.

[61]  Luis Martínez-López,et al.  Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm , 2022 .

[62]  Z. Yue,et al.  A projection-based approach to intuitionistic fuzzy group decision making , 2017 .

[63]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[64]  Zhongliang Yue,et al.  TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting , 2014, Inf. Sci..

[65]  Youyin Jing,et al.  Application of improved grey relational projection method to evaluate sustainable building envelope performance , 2010 .

[66]  Zeshui Xu,et al.  Projection Model-Based Approaches to Intuitionistic Fuzzy Multi-Attribute Decision Making , 2012 .

[67]  Francisco Herrera,et al.  A consensus model for multiperson decision making with different preference structures , 2002, IEEE Trans. Syst. Man Cybern. Part A.

[68]  Ting-Yu Chen,et al.  A projection-based compromising method for multiple criteria decision analysis with interval-valued intuitionistic fuzzy information , 2016, Appl. Soft Comput..

[69]  Z. Yue.  Developing a straightforward approach for group decision making based on determining weights of decision makers , 2012 .

[70]  Chuan Yue,et al.  A symbol-based fuzzy decision-making approach to evaluate the user satisfaction on services in academic digital libraries , 2019 .

[71]  Yuan Zhang,et al.  Fuzzy clustering with the entropy of attribute weights , 2016, Neurocomputing.

[72]  P. Dey,et al.  Neutrosophic Soft Multi-Attribute Decision Making Based on Grey Relational Projection Method , 2016 .

[73]  Hong-yu Zhang,et al.  A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection , 2016, Neural Computing and Applications.

[74]  Zeshui Xu,et al.  Projection Method For Uncertain Multi-Attribute Decision Making With Preference Information On Alternatives , 2004, Int. J. Inf. Technol. Decis. Mak..

[75]  Janusz Kacprzyk,et al.  Using intuitionistic fuzzy sets in group decision making , 2002 .

[76]  Zhongliang Yue,et al.  An extended TOPSIS for determining weights of decision makers with interval numbers , 2011, Knowl. Based Syst..

[77]  Alexi Delgado,et al.  Environmental conflict analysis using an integrated grey clustering and entropy-weight method: A case study of a mining project in Peru , 2016, Environ. Model. Softw..