{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T09:41:17Z","timestamp":1788255677988,"version":"build-2803163510"},"reference-count":54,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2017,4,5]],"date-time":"2017-04-05T00:00:00Z","timestamp":1491350400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>There is a risk when company stakeholders make decisions using accounting information with varied qualities in the same way. In order to evaluate the accounting information quality, this paper proposed an approach to the evaluation of the quality of accounting information based on relative entropy in fuzzy linguistic environments. Firstly, the accounting information quality evaluation criteria are constructed not only from the quality of the accounting information content but also from the accounting information generation environment. Considering that the rating values with respect to the criteria are in linguistic forms with different granularities, the method to deal with the linguistic rating values is given. In the method, the linguistic terms are modeled with the 2-tuple linguistic model. Relative entropy is used to calculate the information consistency, which is used to derive the weight of experts and criteria. Finally, the example is given to illustrate the feasibility and practicability of the proposed method.<\/jats:p>","DOI":"10.3390\/e19040152","type":"journal-article","created":{"date-parts":[[2017,4,5]],"date-time":"2017-04-05T10:33:01Z","timestamp":1491388381000},"page":"152","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["An Approach to the Evaluation of the Quality of Accounting Information Based on Relative Entropy in Fuzzy Linguistic Environments"],"prefix":"10.3390","volume":"19","author":[{"given":"Ming","family":"Li","sequence":"first","affiliation":[{"name":"School of Business Administration, China University of Petroleum-Beijing, Beijing 102249, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoli","family":"Ning","sequence":"additional","affiliation":[{"name":"School of Business Administration, China University of Petroleum-Beijing, Beijing 102249, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mingzhu","family":"Li","sequence":"additional","affiliation":[{"name":"School of Business Administration, China University of Petroleum-Beijing, Beijing 102249, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yingcheng","family":"Xu","sequence":"additional","affiliation":[{"name":"China National Institute of Standardization, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,4,5]]},"reference":[{"key":"ref_1","first-page":"27","article-title":"Financial Report Quality Assessment: Theoretical Framework, Key Concepts and Operational Mechanism","volume":"3","author":"Sun","year":"2013","journal-title":"Account. Res."},{"key":"ref_2","first-page":"122","article-title":"The Quality of Accounting Information in Evaluation Index System","volume":"11","author":"Xu","year":"2012","journal-title":"Res. Econ. Manag."},{"key":"ref_3","first-page":"383","article-title":"Ealuation of Enterprises\u2019 Accounting Information Quality based on Projection Pursuit Model","volume":"4","author":"Wu","year":"2012","journal-title":"J. Liaoning Technol. Univ."},{"key":"ref_4","first-page":"26","article-title":"On the Construction of Accounting Information Quality Evaluation Index System\u2014Based on Government Supervision","volume":"8","author":"Zheng","year":"2008","journal-title":"Commun. Financ. Account."},{"key":"ref_5","unstructured":"Bai, P. (2012). A Study on the Measurement System of the Accounting Information Quality in the Perspective of Investor Protection. [Ph.D. Thesis, Huazhong University of Science and Technology]."},{"key":"ref_6","first-page":"74","article-title":"The Construction of Enterprise Accounting Information Quality Evaluation Index System under Large Data\u2014Based on Fuzzy Comprehensive Evaluation Method","volume":"14","author":"Wang","year":"2015","journal-title":"Financ. Account. Mon."},{"key":"ref_7","first-page":"52","article-title":"The Index System of the Enterprise\u2019s Accounting Information Quantity and It\u2019s Comprehensive Evaluation","volume":"3","author":"Li","year":"2005","journal-title":"J. Taiyuan Univ. Technol."},{"key":"ref_8","first-page":"173","article-title":"Research on Fuzzy Comprehensive Evaluation of Accounting Information Quality of Listed Companies","volume":"23","author":"Zang","year":"2008","journal-title":"Stat. Decis."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1080\/019697298125641","article-title":"Aggregating Fuzzy Opinions in the Group Decision-making Environment","volume":"29","author":"Chen","year":"1998","journal-title":"Cybern. Syst."},{"key":"ref_10","first-page":"278","article-title":"Multiple Attributive Group Decision Making Method based on Triangular Fuzzy Numbers","volume":"30","author":"Chen","year":"2008","journal-title":"Syst. Eng. Electron."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"746","DOI":"10.1109\/91.890332","article-title":"A 2-tuple fuzzy linguistic representation model for computing with words","volume":"8","author":"Herrera","year":"2000","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1803","DOI":"10.3233\/IFS-141147","article-title":"Method for 2-tuple Linguistic Dynamic Multiple Attribute Decision Making with Entropy Weight","volume":"27","author":"Liu","year":"2014","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"193","DOI":"10.3233\/IFS-162132","article-title":"Model for Evaluating the Virtual Enterprise\u2019s Risk with 2-tuple Linguistic Information","volume":"31","author":"Chen","year":"2016","journal-title":"J. Intell. Fuzzy Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1055","DOI":"10.1142\/S0219622016500255","article-title":"On Extending Power-Geometric Operators to Interval-Valued Hesitant Fuzzy Sets and Their Applications to Group Decision Making","volume":"15","author":"Xiong","year":"2016","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1142\/S0219622016500036","article-title":"Integrated Determination of Objective Criteria Weights in MCDM","volume":"15","author":"Edmundas","year":"2016","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1016\/j.asoc.2015.08.017","article-title":"Partitioned Bonferroni Mean based on Linguistic 2-tuple for Dealing with Multi-attribute Group Decision Making","volume":"37","author":"Dutta","year":"2015","journal-title":"Appl. Soft Comput."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/j.ins.2014.04.049","article-title":"Flintstones: A fuzzy linguistic decision tools enhancement suite based on the 2-tuple linguistic Model and Extensions","volume":"280","author":"Estrella","year":"2014","journal-title":"Inf. Sci."},{"key":"ref_18","first-page":"262","article-title":"Decision Making Method of Multi-Granularity Uncertain Language Group Based on Similarity","volume":"3","author":"Tan","year":"2016","journal-title":"Comput. Sci."},{"key":"ref_19","first-page":"921","article-title":"A Multi-granularity Uncertain Linguistic Group Decision-making Method based on Relative Entropy","volume":"6","author":"Zhang","year":"2012","journal-title":"Dalian Univ. Technol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s41066-015-0006-x","article-title":"Managing Multi-granularity Linguistic Information in Qualitative Group Decision Making: An Overview","volume":"1","author":"Xu","year":"2016","journal-title":"Granul. Comput."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.knosys.2014.11.001","article-title":"On Multi-granular Fuzzy Linguistic Modeling in Group Decision Making Problems: A Systematic Review and Future Trends","volume":"74","year":"2015","journal-title":"Knowl.-Based Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/j.asoc.2014.03.008","article-title":"A new MCDM method combining QFD with TOPSIS for knowledge management system selection from the user\u2019s perspective in intuitionistic fuzzy environment","volume":"21","author":"Li","year":"2014","journal-title":"Appl. Soft Comput."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1142\/S0218488500000381","article-title":"An Approach for Combining Linguistic and Numerical Information based on 2-tuple Fuzzy Linguistic Representation Model in Decision-making","volume":"8","author":"Herrera","year":"2000","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.ejor.2003.11.031","article-title":"Managing Non-homogeneous Information in Group Decision Making","volume":"166","author":"Herrera","year":"2005","journal-title":"Eur. J. Oper. Res."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1109\/3477.915345","article-title":"A Model based on Linguistic 2-tuples for Dealing with Multi-granularity Hierarchical Linguistic Contexts in Multi-expert Decision-making","volume":"31","author":"Herrera","year":"2001","journal-title":"IEEE Trans. Syst. Man Cybern. Part B Cybern."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Zhang, Z., and Guo, C. (2012). A Method for Multi-granularity Uncertain Linguistic Group Decision Making with Incomplete Weight Information. Knowl.-Based Syst., 111\u2013119.","DOI":"10.1016\/j.knosys.2011.07.009"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1098","DOI":"10.1016\/j.ins.2007.09.007","article-title":"A Method for Group Decision Making with Multi-granularity Linguistic Assessment Information","volume":"178","author":"Jiang","year":"2008","journal-title":"Inf. Sci."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1002\/andp.18652010702","article-title":"Ueber verschiedene f\u00fcr die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wrmetheorie","volume":"125","author":"Clausius","year":"1865","journal-title":"Ann. Phys."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/S0167-2789(99)00101-3","article-title":"The Theory of Large Deviations: From Boltzmann\u2019s 1877 Calculation to Equilibrium Macrostates in 2D Turbulence","volume":"133","author":"Ellis","year":"1999","journal-title":"Phys. D Nonlinear Phenom."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A Mathematical Theory of Communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell Syst. Tech. J."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1214\/aoms\/1177729694","article-title":"On Information and Sufficiency","volume":"22","author":"Kullback","year":"1951","journal-title":"Ann. Math. Stat."},{"key":"ref_32","unstructured":"Zhu, H., Fu, Z.Z., and Li, Z.M. (July, January 29). A New Image Thresholding Method Based on Relative Entropy. Proceedings of the IEEE 2002 International Conference on Communications, Circuits, Systems and West Sino Expositions, Chengdu, China."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2057","DOI":"10.1175\/1520-0469(2002)059<2057:MDPUUR>2.0.CO;2","article-title":"Measuring Dynamical Prediction Utility Using Relative Entropy","volume":"59","author":"Kleeman","year":"2002","journal-title":"J. Atmos. Sci."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1103\/RevModPhys.74.197","article-title":"The Role of Relative Entropy in Quantum Information Theory","volume":"74","author":"Vedral","year":"2001","journal-title":"Rev. Mod. Phys."},{"key":"ref_35","unstructured":"Financial Accounting Standards Board (FASB) (1980). Concepts Statements No. 2, Qualitative Characteristics of Accounting Information, Financial Accounting Standards Board."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"654","DOI":"10.2307\/2490891","article-title":"Using the FASB\u2019s Qualitative Characteristics in Accounting Policy Choices","volume":"20","author":"Joyce","year":"1982","journal-title":"J. Account. Res."},{"key":"ref_37","unstructured":"Accounting Principles Board (APB) (1970). Statement No. 4, Accounting Principles Board."},{"key":"ref_38","unstructured":"International Accounting Standards Committee (IASC) (1989). Framework for the Preparation and Presentation of Financial Statements, International Accounting Standards Committe."},{"key":"ref_39","unstructured":"American Institute of Certified Public Accountants (AICPA) (1994). Improving Business Reporting\u2014A Customer Focus, American Institute of Certified Public Accountants."},{"key":"ref_40","unstructured":"Accounting Standards Board (ASB) (1999). Statement of Principles for Financial Reporting, Accounting Standards Board."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1006\/cpac.1998.0283","article-title":"The Origins of Prudence in Accounting","volume":"11","author":"Maltby","year":"2000","journal-title":"Crit. Perspect. Account."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"353","DOI":"10.2308\/acch.2000.14.3.353","article-title":"Assessing Quality of Financial Reporting","volume":"14","author":"Jonas","year":"2008","journal-title":"Account. Horiz."},{"key":"ref_43","first-page":"9","article-title":"Study on Assessment of the Quality of Financial Reporting","volume":"11","author":"Ge","year":"2001","journal-title":"Account. Res."},{"key":"ref_44","first-page":"2515","article-title":"Accounting Theory: Conceptual Issues in a Political and Economic Environment","volume":"40","author":"Wolk","year":"2004","journal-title":"Accountancy"},{"key":"ref_45","first-page":"287","article-title":"Timeliness of Financial Reporting and Financial Distress","volume":"59","author":"Whittred","year":"1984","journal-title":"Account. Rev."},{"key":"ref_46","first-page":"32","article-title":"The Trueblood Report: An Analyst\u2019s View","volume":"31","author":"Reed","year":"2005","journal-title":"Financ. Anal. J."},{"key":"ref_47","unstructured":"International Accounting Standards Board (IASB) (2010). The Conceptual Framework for Financial Reporting, International Accounting Standards Board."},{"key":"ref_48","unstructured":"Financial Accounting Standards Board (FASB) (2006). Preliminary Views: Conceptual Framework for Financial Reporting: Objective of Financial Reporting and Qualitative Characteristics of Decision-Useful Financial Reporting Information, Financial Accounting Standards Board."},{"key":"ref_49","unstructured":"International Accounting Standards Board\/ Financial Accounting Standards (IASB\/FASB) (2008). Exposure Draft (ED). The Objective of Financial Reporting and Qualitative Characteristics and Constraints of Decision-Useful Financial Reporting Information, International Accounting Standards Board."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1111\/j.1099-1123.2010.00424.x","article-title":"Audit Quality and Cost of Debt Capital for Private Firms: Evidence from Finland","volume":"15","author":"Karjalainen","year":"2011","journal-title":"Int. J. Audit."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"319","DOI":"10.2307\/2491412","article-title":"Have Financial Statements Lost Their Relevance","volume":"37","author":"Francis","year":"1999","journal-title":"J. Account. Res."},{"key":"ref_52","unstructured":"Committee of Sponsoring Organizations (COSO) (2017, March 23). Internal Control-Integrated Framework. Available online: https:\/\/www.coso.org\/Documents\/990025P-Executive-Summary-final-may20.pdf."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1086\/344114","article-title":"Effect of Corporate Governance on Bond Ratings and Yields: The Role of Institutional Investors and the Outside Directors","volume":"76","author":"Bhojraj","year":"2003","journal-title":"J. Bus."},{"key":"ref_54","first-page":"272","article-title":"The Demand for External Auditing: Size, Debt and Ownership Influence","volume":"57","author":"Chow","year":"1982","journal-title":"Account. Rev."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/4\/152\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:31:59Z","timestamp":1760207519000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/4\/152"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,5]]},"references-count":54,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2017,4]]}},"alternative-id":["e19040152"],"URL":"https:\/\/doi.org\/10.3390\/e19040152","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4,5]]}}}