Interval-Valued Neutrosophic Soft Rough Sets

We first defined interval-valued neutrosophic soft rough sets (IVN-soft rough sets for short) which combine interval-valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of interval-valued intuitionistic fuzzy soft rough sets (IVIF-soft rough sets).

[1]  A. A. Salama,et al.  Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces , 2013 .

[2]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

[3]  Anjan Mukherjee,et al.  Soft Interval-Valued Intuitionistic Fuzzy Rough Sets , 2015 .

[4]  Bart BaesensRudy Using Neural Network Rule Extraction and Decision Tables for Credit-Risk Evaluation , 2003 .

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

[6]  Yiyu Yao,et al.  Attribute reduction in decision-theoretic rough set models , 2008, Inf. Sci..

[7]  Florentin Smarandache,et al.  ROUGH NEUTROSOPHIC SETS , 2014 .

[8]  Athar Kharal,et al.  On Fuzzy Soft Sets , 2009, Adv. Fuzzy Syst..

[9]  Florentin Smarandache,et al.  New Operations on Interval Neutrosophic Sets , 2014 .

[10]  K. V. Thomas,et al.  Rough Intuitionistic Fuzzy Sets in a Lattice , 2011 .

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

[12]  Pinaki Majumdar,et al.  On similarity and entropy of neutrosophic sets , 2013, J. Intell. Fuzzy Syst..

[13]  Degang Chen,et al.  Fuzzy rough set theory for the interval-valued fuzzy information systems , 2008, Inf. Sci..

[14]  William Zhu,et al.  Attribute reduction of data with error ranges and test costs , 2012, Inf. Sci..

[15]  F. Smarandache,et al.  Several Similarity Measures of Neutrosophic Sets , 2013 .

[16]  Degang Chen,et al.  Fuzzy rough set theory for the interval-valued fuzzy information systems , 2008, Inf. Sci..

[17]  Madhumangal Pal,et al.  Intuitionistic Neutrosophic Set Relations and Some of Its Properties , 2010 .

[18]  Feng Feng,et al.  Soft rough sets applied to multicriteria group decision making , 2011 .

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

[20]  Muhammad Irfan Ali,et al.  Another approach to soft rough sets , 2013, Knowl. Based Syst..

[21]  D. Molodtsov Soft set theory—First results , 1999 .

[22]  Qinghua Hu,et al.  Rule learning for classification based on neighborhood covering reduction , 2011, Inf. Sci..

[23]  Zhiming Zhang,et al.  On interval type-2 rough fuzzy sets , 2012, Knowl. Based Syst..

[24]  Qinghua Hu,et al.  Neighborhood rough set based heterogeneous feature subset selection , 2008, Inf. Sci..

[25]  Bart Baesens,et al.  Using Neural Network Rule Extraction and Decision Tables for Credit - Risk Evaluation , 2003, Manag. Sci..

[26]  Xizhao Wang,et al.  Learning fuzzy rules from fuzzy samples based on rough set technique , 2007, Inf. Sci..

[27]  Peide Liu,et al.  An Extended TOPSIS Method for the Multiple Attribute Decision Making Problems Based on Interval Neutrosophic Set , 2014 .

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

[29]  Smarandache Florentin,et al.  Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation , 2014 .

[30]  Jun Ye,et al.  Single-Valued Neutrosophic Minimum Spanning Tree and Its Clustering Method , 2014, J. Intell. Syst..

[31]  Said Broumi,et al.  Roughness of Neutrosophic Sets , 2014 .

[32]  Yee Leung,et al.  Generalized fuzzy rough sets determined by a triangular norm , 2008, Inf. Sci..

[33]  I. Turksen Interval valued fuzzy sets based on normal forms , 1986 .

[34]  Lan Shu,et al.  Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making , 2014 .

[35]  Degang Chen,et al.  Fuzzy rough set based attribute reduction for information systems with fuzzy decisions , 2011, Knowl. Based Syst..

[36]  Huan Liu,et al.  Consistency-based search in feature selection , 2003, Artif. Intell..

[37]  Ming-Ying Leung,et al.  Logic minimization and rule extraction for identification of functional sites in molecular sequences , 2012, BioData Mining.

[38]  Bijan Davvaz,et al.  Soft sets combined with fuzzy sets and rough sets: a tentative approach , 2010, Soft Comput..

[39]  Wei-Zhi Wu,et al.  Generalized fuzzy rough sets , 2003, Inf. Sci..

[40]  Yuhua Qian,et al.  Test-cost-sensitive attribute reduction , 2011, Inf. Sci..

[41]  D. Dubois,et al.  ROUGH FUZZY SETS AND FUZZY ROUGH SETS , 1990 .

[42]  Florentin Smarandache,et al.  Intuitionistic Neutrosophic Soft Set , 2013, ArXiv.

[43]  A. Das,et al.  Interval valued intuitionistic fuzzy soft set relations , 2013 .

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

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

[46]  Anjan Mukherjee,et al.  Interval-valued intuitionistic fuzzy soft rough sets , 2015 .

[47]  Chun-Che Huang,et al.  Rough set-based approach to feature selection in customer relationship management , 2007 .

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

[49]  Pabitra Kumar Maji,et al.  FUZZY SOFT SETS , 2001 .

[50]  Madhumangal Pal,et al.  Intuitionistic Neutrosophic Set , 2009 .