Neutrosophic Soft Sets Applied on Incomplete Data

A neutrosophic set is a part of neutrosophy that studies the origin, nature and scope of neutralities as well as their interactions with different ideational spectra. In this present paper first we have introduced the concept of a neutrosophic soft set having incomplete data with suitable examples. Then we have tried to explain the consistent and inconsistent association between the parameters. We have introduced few new definitions, namelyconsistent association number between the parameters, consistent association degree, inconsistent association number between the parameters and inconsistent association degree to measure these associations. Lastly we have presented a data filling algorithm. An illustrative example is employed to show the feasibility and validity of our algorithm in practical situation.

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

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

[3]  Mohamed Abdel-Basset,et al.  Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases , 2019, Artif. Intell. Medicine.

[4]  Yan Zou,et al.  Data analysis approaches of soft sets under incomplete information , 2008, Knowl. Based Syst..

[5]  F. Smarandache,et al.  Divergence measure of neutrosophic sets and applications , 2018 .

[6]  Mohamed Elhoseny,et al.  A novel model for evaluation Hospital medical care systems based on plithogenic sets , 2019, Artif. Intell. Medicine.

[7]  Tutut Herawan,et al.  Data Filling Approach of Soft Sets under Incomplete Information , 2011, ACIIDS.

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

[9]  Mohamed Elhoseny,et al.  Modeling neutrosophic variables based on particle swarm optimization and information theory measures for forest fires , 2018, The Journal of Supercomputing.

[10]  Florentin Smarandache,et al.  More on Intuitionistic Neutrosophic Soft Sets , 2013 .

[11]  Tsau Young Lin,et al.  Combination of interval-valued fuzzy set and soft set , 2009, Comput. Math. Appl..

[12]  Said Broumi,et al.  Generalized Neutrosophic Soft Set , 2013, ArXiv.

[13]  Mohamed Abdel-Basset,et al.  Uncertainty assessments of linear time-cost tradeoffs using neutrosophic set , 2020, Comput. Ind. Eng..

[14]  Victor I. Chang,et al.  An integrated neutrosophic ANP and VIKOR method for achieving sustainable supplier selection: A case study in importing field , 2019, Comput. Ind..

[15]  Young Bae Jun,et al.  An adjustable approach to fuzzy soft set based decision making , 2010, J. Comput. Appl. Math..

[16]  Florentin Smarandache,et al.  A Group Decision Making Framework Based on Neutrosophic TOPSIS Approach for Smart Medical Device Selection , 2019, Journal of Medical Systems.

[17]  Zhi Xiao,et al.  A combined forecasting approach based on fuzzy soft sets , 2009 .

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

[19]  Young Bae Jun,et al.  Soft BCK/BCI-algebras , 2008, Comput. Math. Appl..

[20]  Young Bae Jun,et al.  Interval neutrosophic sets applied to ideals in BCK/BCI-algebras , 2018 .

[21]  Xiaoyan Liu,et al.  On some new operations in soft set theory , 2009, Comput. Math. Appl..

[22]  Anjan Mukherjee,et al.  Interval-Valued Neutrosophic Soft Sets , 2015 .

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

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

[25]  Naim Çagman,et al.  Soft sets and soft groups , 2007, Inf. Sci..

[26]  Victor I. Chang,et al.  Evaluation of the green supply chain management practices: A novel neutrosophic approach , 2019, Comput. Ind..

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