Multigranulation Rough Sets in Hesitant Fuzzy Linguistic Information Systems

Based on lower and upper approximations induced by multiple binary relations, multigranulation rough set theory has become one of the most promising research topics in the domain of rough set theory. Through combining multigranulation rough sets with hesitant fuzzy linguistic term sets, this article introduces a hybrid model of multigranulation rough sets, named a hesitant fuzzy linguistic (HFL) multigranulation rough set. In the framework of granular computing, we first give basic definitions of optimistic and pessimistic hesitant fuzzy linguistic multigranulation rough sets. Then, we explore some important properties about hesitant fuzzy linguistic multigranulation rough sets. Lastly, uncertainty measures for the hesitant fuzzy linguistic multigranulation approximation space are addressed.

[1]  Lotfi A. Zadeh,et al.  Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic , 1997, Fuzzy Sets Syst..

[2]  Jerzy W. Grzymala-Busse,et al.  Rough Sets , 1995, Commun. ACM.

[3]  Ivan Chajda.  An algebraic axiomatization of orthogonal posets , 2014, Soft Comput..

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

[5]  Jing-Yu Yang,et al.  Local and Global Measurements of MGRS Rules , 2012, Int. J. Comput. Intell. Syst..

[6]  V. Torra,et al.  A framework for linguistic logic programming , 2010 .

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

[8]  Jiye Liang,et al.  International Journal of Approximate Reasoning an Efficient Rough Feature Selection Algorithm with a Multi-granulation View , 2022 .

[9]  Jing-Yu Yang,et al.  Constructive and axiomatic approaches to hesitant fuzzy rough set , 2014, Soft Comput..

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

[11]  Decui Liang,et al.  A Novel Risk Decision Making Based on Decision-Theoretic Rough Sets Under Hesitant Fuzzy Information , 2015, IEEE Transactions on Fuzzy Systems.

[12]  Na Zhao,et al.  Operators and Comparisons of Hesitant Fuzzy Linguistic Term Sets , 2014, IEEE Transactions on Fuzzy Systems.

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

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

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

[16]  Zeshui Xu,et al.  Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets , 2015, Knowl. Based Syst..