Assessment of Enterprise Performance Based on Picture Fuzzy Hamacher Aggregation Operators

In the age of the knowledge-based economy and the rapid development of information technology, enterprise management is facing great challenges and has entered an era of prudent management. Traditional enterprise performance evaluation focuses on the interests of shareholders. Investors take financial data as their base and pay attention to the study of material attraction and the results; if they do not, they cannot adjust to a new economy period. Therefore, enterprise performance reflects the interests of shareholders and business strategists for the needs of stakeholders, which is important for the future of lively competition. With that in mind, aggregation of information is an important research tool that has recently drawn the attention of researchers for information analysis. In this paper, we have developed multiple-attribute decision-making methods for enterprise performance evaluation with picture fuzzy information. We have applied Hamacher aggregation operators such as the picture fuzzy Hamacher weighted averaging (PFHWA) operator and picture fuzzy Hamacher weighted geometric (PFHWG) operator in picture fuzzy environment for the assessment of the best enterprise selection. Finally, we justified the proposed approach with the existing methods for feasibility and effectiveness.

[1]  Guiwu Wei,et al.  Picture Fuzzy Hamacher Aggregation Operators and their Application to Multiple Attribute Decision Making , 2018, Fundam. Informaticae.

[2]  Juan M. Corchado,et al.  Managing Multi-Criteria Group Decision Making Environments with High Number of Alternatives Using Fuzzy Ontologies , 2018, SoMeT.

[3]  Shyi-Ming Chen,et al.  Handling multicriteria fuzzy decision-making problems based on vague set theory , 1994 .

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

[5]  Fuad E. Alsaadi,et al.  Bipolar Fuzzy Hamacher Aggregation Operators in Multiple Attribute Decision Making , 2017, International Journal of Fuzzy Systems.

[6]  Robert M. Morgan,et al.  The Role of Existing Knowledge in New Product Innovativeness and Performance , 2003, Decis. Sci..

[7]  Shu-Ping Wan,et al.  Atanassov's Intuitionistic Fuzzy Programming Method for Heterogeneous Multiattribute Group Decision Making With Atanassov's Intuitionistic Fuzzy Truth Degrees , 2014, IEEE Transactions on Fuzzy Systems.

[8]  Rusli Abdullah,et al.  Conceptual Model Development of Big Data Analytics Implementation Assessment Effect on Decision-Making , 2018, Int. J. Interact. Multim. Artif. Intell..

[9]  Shuo Xiao,et al.  Induced interval-valued intuitionistic fuzzy Hamacher ordered weighted geometric operator and their application to multiple attribute decision making , 2014, J. Intell. Fuzzy Syst..

[10]  Huayou Chen,et al.  Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information , 2015, Appl. Soft Comput..

[11]  Bui Cong Cuong,et al.  Picture fuzzy sets , 2015 .

[12]  Pushpinder Singh,et al.  Correlation coefficients for picture fuzzy sets , 2015, J. Intell. Fuzzy Syst..

[13]  Arazi Idrus,et al.  A Solution Generator Algorithm for Decision Making based Automated Negotiation in the Construction Domain , 2017, Int. J. Interact. Multim. Artif. Intell..

[14]  Deng-Feng Li,et al.  Closeness coefficient based nonlinear programming method for interval-valued intuitionistic fuzzy multiattribute decision making with incomplete preference information , 2011, Appl. Soft Comput..

[15]  Etienne Kerre,et al.  A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms , 2002 .

[16]  Jianming Zhan,et al.  Covering-based intuitionistic fuzzy rough sets and applications in multi-attribute decision-making , 2018, Artificial Intelligence Review.

[17]  José M. Merigó,et al.  Probabilities in the OWA operator , 2012, Expert Syst. Appl..

[18]  Madhumangal Pal,et al.  Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process , 2018, J. Ambient Intell. Humaniz. Comput..

[19]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[20]  Le Hoang Son,et al.  A New Approach to Multi-variable Fuzzy Forecasting Using Picture Fuzzy Clustering and Picture Fuzzy Rule Interpolation Method , 2014, KSE.

[21]  Guiwu Wei,et al.  Dual hesitant pythagorean fuzzy Hamacher aggregation operators in multiple attribute decision making , 2017 .

[22]  José M. Merigó,et al.  Decision-making under risk and uncertainty and its application in strategic management , 2014 .

[23]  Adem Kiliçman,et al.  m-Polar Fuzzy Soft Weighted Aggregation Operators and Their Applications in Group Decision-Making , 2018, Symmetry.

[24]  Zeshui Xu,et al.  Intuitionistic Fuzzy Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

[25]  Madhumangal Pal,et al.  Picture fuzzy Dombi aggregation operators: Application to MADM process , 2019, Appl. Soft Comput..

[26]  Jian-qiang Wang,et al.  On Novel Operational Laws and Aggregation Operators of Picture 2-Tuple Linguistic Information for MCDM Problems , 2018, Int. J. Fuzzy Syst..

[27]  J. Kacprzyk,et al.  The Ordered Weighted Averaging Operators: Theory and Applications , 1997 .

[28]  James M. Sinkula,et al.  The synergistic effect of market orientation and learning orientation on organizational performance , 1999 .

[29]  G. W. Wei,et al.  Some Geometric Aggregation Functions and their Application to Dynamic Multiple Attribute Decision Making in the Intuitionistic Fuzzy Setting , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[30]  Chris Cornelis,et al.  On the representation of intuitionistic fuzzy t-norms and t-conorms , 2004, IEEE Transactions on Fuzzy Systems.

[31]  Madhumangal Pal,et al.  Trapezoidal neutrosophic aggregation operators and its application in multiple attribute decision making process , 2018, Scientia Iranica.

[32]  Peide Liu,et al.  Some Hamacher Aggregation Operators Based on the Interval-Valued Intuitionistic Fuzzy Numbers and Their Application to Group Decision Making , 2014, IEEE Transactions on Fuzzy Systems.

[33]  Faruk Karaaslan,et al.  Possibility neutrosophic soft sets and PNS-decision making method , 2014, Appl. Soft Comput..

[34]  Guiwu Wei,et al.  Hesitant fuzzy Hamacher aggregation operators and their application to multiple attribute decision making , 2014, J. Intell. Fuzzy Syst..

[35]  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..

[36]  Le Hoang Son,et al.  HIFCF: An effective hybrid model between picture fuzzy clustering and intuitionistic fuzzy recommender systems for medical diagnosis , 2015, Expert Syst. Appl..

[37]  Henry Mintzberg,et al.  Strategy safari : a guided tour through the wilds of strategic management , 1998 .

[38]  Krassimir T. Atanassov,et al.  Intuitionistic Fuzzy Sets - Theory and Applications , 1999, Studies in Fuzziness and Soft Computing.

[39]  Zeshui Xu,et al.  Covering-based generalized IF rough sets with applications to multi-attribute decision-making , 2019, Inf. Sci..

[40]  Rodolfo Lourenzutti,et al.  A study of TODIM in a intuitionistic fuzzy and random environment , 2013, Expert Syst. Appl..

[41]  Bo-Hyeun Wang,et al.  On generalized Hamacher families of triangular operators , 1998, Int. J. Approx. Reason..

[42]  Guiwu Wei,et al.  Picture 2-Tuple Linguistic Bonferroni Mean Operators and Their Application to Multiple Attribute Decision Making , 2016, International Journal of Fuzzy Systems.

[43]  Wei Li,et al.  Approaches to decision making with Interval-valued intuitionistic fuzzy information and their application to enterprise financial performance assessment , 2014, J. Intell. Fuzzy Syst..

[44]  Fuad E. Alsaadi,et al.  Hesitant pythagorean fuzzy hamacher aggregation operators and their application to multiple attribute decision making , 2017, J. Intell. Fuzzy Syst..

[45]  Shu-Ping Wan,et al.  Fuzzy mathematical programming approach to heterogeneous multiattribute decision-making with interval-valued intuitionistic fuzzy truth degrees , 2015, Inf. Sci..

[46]  Xiaoyue Liu,et al.  Some new dual hesitant fuzzy aggregation operators based on Choquet integral and their applications to multiple attribute decision making , 2014, J. Intell. Fuzzy Syst..

[47]  Zeshui Xu,et al.  Some geometric aggregation operators based on intuitionistic fuzzy sets , 2006, Int. J. Gen. Syst..

[48]  Ju-Ying Huang,et al.  Intuitionistic fuzzy Hamacher aggregation operators and their application to multiple attribute decision making , 2014, J. Intell. Fuzzy Syst..

[49]  Jian-Bo Yang,et al.  Group decision making with expertons and uncertain generalized probabilistic weighted aggregation operators , 2014, Eur. J. Oper. Res..

[50]  J. Merigó,et al.  A new aggregation method for strategic decision making and its application in assignment theory , 2011 .

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

[52]  Le Hoang Son.  DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets , 2015, Expert Syst. Appl..

[53]  Muhammad Akram,et al.  Novel decision-making algorithms based on intuitionistic fuzzy rough environment , 2018, Int. J. Mach. Learn. Cybern..

[54]  Le Hoang Son.  Generalized picture distance measure and applications to picture fuzzy clustering , 2016, Appl. Soft Comput..

[55]  J. Dutton,et al.  Advances in strategic management , 1994 .

[56]  Guiwu Wei,et al.  Picture fuzzy aggregation operators and their application to multiple attribute decision making , 2017, J. Intell. Fuzzy Syst..

[57]  Faruk Karaaslan,et al.  Correlation coefficients of single-valued neutrosophic refined soft sets and their applications in clustering analysis , 2015, Neural Computing and Applications.

[58]  Xiaodong Liu,et al.  Prioritized Aggregation Operators and Correlated Aggregation Operators for Hesitant 2-Tuple Linguistic Variables , 2018, Symmetry.

[59]  Juan M. Corchado,et al.  Solving multi-criteria group decision making problems under environments with a high number of alternatives using fuzzy ontologies and multi-granular linguistic modelling methods , 2017, Knowl. Based Syst..

[60]  Harish Garg,et al.  A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems , 2016, Appl. Soft Comput..

[61]  Harish Garg,et al.  TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment , 2016, Computational and Applied Mathematics.

[62]  Xiaohong Chen,et al.  Hesitant fuzzy Hamacher aggregation operators for multicriteria decision making , 2015, Appl. Soft Comput..

[63]  Guiwu Wei,et al.  Picture fuzzy cross-entropy for multiple attribute decision making problems , 2016 .

[64]  Shyi-Ming Chen,et al.  Multiattribute Decision Making Based on Interval-Valued Intuitionistic Fuzzy Sets, PSO Techniques, and Evidential Reasoning Methodology , 2015, IEEE Transactions on Fuzzy Systems.

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

[66]  Jun Ye,et al.  Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment , 2009, Expert Syst. Appl..

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

[68]  Deng-Feng Li,et al.  Decision and Game Theory in Management With Intuitionistic Fuzzy Sets , 2013, Studies in Fuzziness and Soft Computing.