An Extended Topsis for Multi-Attribute Decision Making Problems with Neutrosophic Cubic Information

The paper proposes a new technique for dealing with multi-attribute decision making problems through an extended TOPSIS method under neutrosophic cubic environment. Neutrosophic cubic set is the generalized form of cubic set and is the hybridization of a neutrosophic set with an interval neutrosophic set. In this study, we have defined some operation rules for neutrosophic cubic sets and proposed the Euclidean distance between neutrosophic cubic sets.

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

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

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

[4]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[5]  Zhiming Zhang,et al.  A novel method for single-valued neutrosophic multi-criteria decision making with incomplete weight information , 2014 .

[6]  F. Smarandache,et al.  Neutrosophic Cubic MCGDM Method Based on Similarity Measure , 2017 .

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

[8]  Young Bae Jun,et al.  Neutrosophic Cubic Sets , 2016, New Math. Nat. Comput..

[9]  Z. Zhong,et al.  Multi-criteria decision-making method with incomplete certain information based on intuitionistic fuzzy number , 2009 .

[10]  Surapati Pramanik,et al.  TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment , 2014, Neural Computing and Applications.

[11]  Surapati Pramanik,et al.  Neutrosophic Decision Making Model of School Choice , 2015 .

[12]  Ridvan Sahin,et al.  A Multi-criteria neutrosophic group decision making metod based TOPSIS for supplier selection , 2014, ArXiv.

[13]  Surapati Pramanik,et al.  Interval Neutrosophic Multi-Attribute Decision-Making Based on Grey Relational Analysis , 2015 .

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

[15]  Florentin Smarandache,et al.  An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables , 2015 .

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

[17]  Florentin Smarandache,et al.  The theory of neutrosophic cubic sets and their applications in pattern recognition , 2016, J. Intell. Fuzzy Syst..