Neutrosophic vague soft expert set theory

In this paper, we first introduce the concept of neutrosophic vague soft expert sets (NVSESs for short) which combines neutrosophic vague sets and soft expert sets to be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR along with illustrative examples, and study some related properties with supporting proofs. Lastly, this concept is applied to a decision making problem and its effectiveness is demonstrated using a hypothetical example.

[1]  Said Broumi,et al.  Neutrosophic soft relations and some properties , 2014 .

[2]  Eric C. C. Tsang,et al.  The parameterization reduction of soft sets and its applications , 2005 .

[3]  Florentin Smarandache,et al.  Distance and Similarity Measures of Interval Neutrosophic Soft Sets , 2014 .

[4]  Vilém Novák,et al.  Fuzzy Set , 2009, Encyclopedia of Database Systems.

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

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

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

[8]  Khaleed Alhazaymeh,et al.  Vague soft expert set theory , 2013 .

[9]  Nasruddin Hassan,et al.  Possibility Fuzzy Soft Set , 2011, Adv. Decis. Sci..

[10]  Shawkat Alkhazaleh,et al.  Fuzzy Soft Expert Set and Its Application , 2014 .

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

[12]  Khaleed Alhazaymeh,et al.  Vague soft set relations and functions , 2015, J. Intell. Fuzzy Syst..

[13]  Said Broumi,et al.  Neutrosophic soft matrices and NSM-decision making , 2015, J. Intell. Fuzzy Syst..

[14]  Nasruddin Hassan,et al.  Q-fuzzy soft matrix and its application , 2014 .

[15]  Mohammad Jalali Varnamkhasti,et al.  A hybrid of adaptive neuro-fuzzy inference system and genetic algorithm , 2013, J. Intell. Fuzzy Syst..

[16]  Florentin Smarandache,et al.  Relations on Interval Valued Neutrosophic Soft Sets , 2014 .

[17]  Pabitra Kumar Maji,et al.  Neutrosophic Soft Set , 2013 .

[18]  Nasruddin Hassan,et al.  Properties on the multi Q-fuzzy soft matrix , 2014 .

[19]  Khaleed Alhazaymeh,et al.  POSSIBILITY VAGUE SOFT SET AND ITS APPLICATION IN DECISION MAKING , 2012 .

[20]  Khaleed Alhazaymeh,et al.  Soft intuitionistic fuzzy sets , 2012 .

[21]  A. R. Roy,et al.  A fuzzy soft set theoretic approach to decision making problems , 2007 .

[22]  Nasruddin Hassan,et al.  Soft Multisets Theory , 2011 .

[23]  A. R. Roy,et al.  Soft set theory , 2003 .

[24]  W.-L. Gau,et al.  Vague sets , 1993, IEEE Trans. Syst. Man Cybern..

[25]  N. Çagman,et al.  FUZZY SOFT SET THEORY AND ITS APPLICATIONS , 2011 .

[26]  Jian Ma,et al.  Vague soft sets and their properties , 2010, Comput. Math. Appl..

[27]  Birsel Aybek,et al.  An investigation of students’ life satisfaction and loneliness level in a sample of Turkish students , 2008 .

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

[29]  A. R. Roy,et al.  An application of soft sets in a decision making problem , 2002 .

[30]  Nasruddin Hassan,et al.  Multiparameterized Soft Set , 2012 .

[31]  Nasruddin Hassan,et al.  Multi Q-fuzzy soft expert set and its application , 2016, J. Intell. Fuzzy Syst..

[32]  Vakkas Uluçay,et al.  Neutrosophic Soft Expert Sets , 2015 .

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

[34]  Khaleed Alhazaymeh,et al.  GENERALIZED VAGUE SOFT SET AND ITS APPLICATIONS , 2012 .

[35]  Filiz Çitak,et al.  Fuzzy parameterized fuzzy soft set theory and its applications , 2010 .

[36]  Nasruddin Hassan,et al.  Neurogenetic Algorithm for Solving Combinatorial Engineering Problems , 2012, J. Appl. Math..

[37]  Nasruddin Hassan,et al.  Multi q-fuzzy soft set and its application , 2015 .

[38]  Nasruddin Hassan,et al.  Multi Q-fuzzy parameterized soft set and its application , 2014, J. Intell. Fuzzy Syst..

[39]  Irfan Deli,et al.  Interval valued intuitionistic fuzzy parameterized soft set theory and its decision making , 2016, J. Intell. Fuzzy Syst..

[40]  Khaleed Alhazaymeh,et al.  MAPPING ON GENERALIZED VAGUE SOFT EXPERT SET , 2014 .

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

[42]  Shawkat Alkhazaleh,et al.  Neutrosophic Vague Set Theory , 2015 .

[43]  Shawkat Alkhazaleh,et al.  Soft Expert Sets , 2011, Adv. Decis. Sci..

[44]  Nasruddin Hassan,et al.  Q-fuzzy soft set , 2014 .

[45]  Nasruddin Hassan,et al.  Operations on Q-fuzzy soft set , 2014 .

[46]  Khaleed Alhazaymeh,et al.  Interval-Valued Vague Soft Sets and Its Application , 2012, Adv. Fuzzy Syst..

[47]  Jun Ye,et al.  Improved correlation coefficients of single valued neutrosophic sets and interval neutrosophic sets for multiple attribute decision making , 2014, J. Intell. Fuzzy Syst..

[48]  Jun Ye,et al.  Some aggregation operators of interval neutrosophic linguistic numbers for multiple attribute decision making , 2014, J. Intell. Fuzzy Syst..

[49]  Florentin Smarandache,et al.  Neutrosophic set - a generalization of the intuitionistic fuzzy set , 2004, 2006 IEEE International Conference on Granular Computing.

[50]  Khaleed Alhazaymeh,et al.  Possibility Interval-Valued Vague Soft Set , 2013 .

[51]  Jun Ye,et al.  A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets , 2014, J. Intell. Fuzzy Syst..