Merger and Acquisition Target Selection Based on Interval Neutrosophic Multigranulation Rough Sets over Two Universes

As a significant business activity, merger and acquisition (M&A) generally means transactions in which the ownership of companies, other business organizations or their operating units are transferred or combined. In a typical M&A procedure, M&A target selection is an important issue that tends to exert an increasingly significant impact on different business areas. Although some research works based on fuzzy methods have been explored on this issue, they can only deal with incomplete and uncertain information, but not inconsistent and indeterminate information that exists universally in the decision making process. Additionally, it is advantageous to solve M&A problems under the group decision making context. In order to handle these difficulties in M&A target selection background, we introduce a novel rough set model by combining interval neutrosophic sets (INSs) with multigranulation rough sets over two universes, called an interval neutrosophic (IN) multigranulation rough set over two universes. Then, we discuss the definition and some fundamental properties of the proposed model. Finally, we establish decision making rules and computing approaches for the proposed model in M&A target selection background, and the effectiveness of the decision making approach is demonstrated by an illustrative case analysis.

[1]  Lance Chun Che Fung,et al.  Binary classification using ensemble neural networks and interval neutrosophic sets , 2009, Neurocomputing.

[2]  Chao Zhang,et al.  Steam turbine fault diagnosis based on single-valued neutrosophic multigranulation rough sets over two universes , 2016, J. Intell. Fuzzy Syst..

[3]  Jun Ye,et al.  Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making , 2014, J. Intell. Fuzzy Syst..

[4]  Jun Ye,et al.  Multiple attribute group decision making based on interval neutrosophic uncertain linguistic variables , 2017, Int. J. Mach. Learn. Cybern..

[5]  Yanqing Zhang,et al.  Interval Neutrosophic Sets and Logic: Theory and Applications in Computing , 2005, ArXiv.

[6]  Irfan Deli,et al.  Intuitionistic fuzzy parameterized soft set theory and its decision making , 2013, Appl. Soft Comput..

[7]  Başak Tanyeri,et al.  Global Merger and Acquisition (M&A) activity: 1992–2011 , 2016 .

[8]  Jun Ye,et al.  Interval Neutrosophic Multiple Attribute Decision-Making Method with Credibility Information , 2016, Int. J. Fuzzy Syst..

[9]  Florentin Smarandache,et al.  Decision-making method based on the interval valued neutrosophic graph , 2016, 2016 Future Technologies Conference (FTC).

[10]  Chung-Tsen Tsao,et al.  Applying a fuzzy multiple criteria decision-making approach to the M&A due diligence , 2009, Expert Syst. Appl..

[11]  Bingzhen Sun,et al.  Multigranulation rough set theory over two universes , 2015, J. Intell. Fuzzy Syst..

[12]  Haiyan Zhao,et al.  An approach to emergency decision making based on decision-theoretic rough set over two universes , 2016, Soft Comput..

[13]  Witold Pedrycz,et al.  Granular Computing: Perspectives and Challenges , 2013, IEEE Transactions on Cybernetics.

[14]  Jiye Liang,et al.  Pessimistic rough set based decisions: A multigranulation fusion strategy , 2014, Inf. Sci..

[15]  Yuhua Qian,et al.  Multigranulation fuzzy rough set over two universes and its application to decision making , 2017, Knowl. Based Syst..

[16]  Jun Ye,et al.  Exponential operations and aggregation operators of interval neutrosophic sets and their decision making methods , 2016, SpringerPlus.

[17]  Bingzhen Sun,et al.  A fuzzy rough set approach to emergency material demand prediction over two universes , 2013 .

[18]  Bingzhen Sun,et al.  Fuzzy rough set on probabilistic approximation space over two universes and its application to emergency decision‐making , 2015, Expert Syst. J. Knowl. Eng..

[19]  Xia Xiao,et al.  Three-way group decision making based on multigranulation fuzzy decision-theoretic rough set over two universes , 2017, Int. J. Approx. Reason..

[20]  Bingzhen Sun,et al.  Fuzzy rough set model on two different universes and its application , 2011 .

[21]  Theresa Beaubouef,et al.  Rough Sets , 2019, Lecture Notes in Computer Science.

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

[23]  Irfan Deli,et al.  Interval-valued neutrosophic soft sets and its decision making , 2014, Int. J. Mach. Learn. Cybern..

[24]  Chao Zhang,et al.  A Dual Hesitant Fuzzy Multigranulation Rough Set over Two-Universe Model for Medical Diagnoses , 2015, Comput. Math. Methods Medicine.

[25]  Chao Zhang,et al.  Pythagorean Fuzzy Multigranulation Rough Set over Two Universes and Its Applications in Merger and Acquisition , 2016, Int. J. Intell. Syst..

[26]  F. Smarandache A Unifying Field in Logics: Neutrosophic Logic. , 1999 .

[27]  Deyu Li,et al.  An interval-valued hesitant fuzzy multigranulation rough set over two universes model for steam turbine fault diagnosis , 2017 .

[28]  Jiye Liang,et al.  Hesitant fuzzy linguistic rough set over two universes model and its applications , 2018, Int. J. Mach. Learn. Cybern..

[29]  Yiyu Yao,et al.  MGRS: A multi-granulation rough set , 2010, Inf. Sci..

[30]  Florentin Smarandache,et al.  Interval Valued Neutrosophic Parameterized Soft Set Theory and its Decision Making , 2014 .

[31]  Florentin Smarandache,et al.  A unifying field in logics : neutrosophic logic : neutrosophy, neutrosophic set, neutrosophic probability , 2020 .

[32]  Hong-yu Zhang,et al.  Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems , 2014, TheScientificWorldJournal.

[33]  Tian Liang,et al.  The Study on the Multi-object Fuzzy Decision-Making of the M&A of Resource –Typed Enterprises Based on Rough Sets , 2012 .

[34]  Yufeng Liu,et al.  Fuzzy rough set models over two universes , 2013, Int. J. Mach. Learn. Cybern..

[35]  Zongben Xu,et al.  Rough Set Models on Two universes , 2004, Int. J. Gen. Syst..

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

[37]  Shouyang Wang,et al.  Fuzzy probabilistic rough set model on two universes and its applications , 2013, Int. J. Approx. Reason..

[38]  Guang-Rong Li,et al.  Risk Assessment of Enterprise Merger and Acquisition Based on Event Tree Method and Fuzzy Set Theory , 2013 .

[39]  Wei Guo,et al.  The Fuzzy Decision-Making Model Based on Rough Set of the M&A of Resource-Typed Enterprises , 2007, Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007).

[40]  Hong-yu Zhang,et al.  An Improved Weighted Correlation Coefficient Based on Integrated Weight for Interval Neutrosophic Sets and its Application in Multi-criteria Decision-making Problems , 2015, Int. J. Comput. Intell. Syst..

[41]  F. Smarandache,et al.  Correlation Coefficient of Interval Neutrosophic Set , 2013 .