GRA for Multi Attribute Decision Making in Neutrosophic Cubic Set Environment

In this paper, multi attribute decision making problem based on grey relational analysis in neutrosophic cubic set environment is investigated. In the decision making situation, the attribute weights are considered as single valued neutrosophic sets. The neutrosophic weights are converted into crisp weights. Both positve and negative GRA coefficients, and weighted GRA coefficients are determined.

[1]  Surapati Pramanik,et al.  Aggregation of Triangular Fuzzy Neutrosophic Set Information and Its Application to Multi-Attribute Decision Making , 2016 .

[2]  Iuliana Carmen Barbacioru.  GREY RELATIONAL ANALYSIS METHOD FOR INTUITIONISTIC FUZZY MULTIPLE ATTRIBUTE DECISION MAKING , 2014 .

[3]  Peide Liu,et al.  Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information , 2015, Neural Computing and Applications.

[4]  B. Giri,et al.  Entropy Based Grey Relational Analysis Method for Multi- Attribute Decision Making under Single Valued Neutrosophic Assessments , 2014 .

[5]  Peide Liu,et al.  Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean , 2014, Neural Computing and Applications.

[6]  Mirela Teodorescu,et al.  A Unifying Field in Logics. Book Review , 2014 .

[7]  Krassimir T. Atanassov,et al.  On Intuitionistic Fuzzy Sets Theory , 2012, Studies in Fuzziness and Soft Computing.

[8]  Florentin Smarandache,et al.  SINGLE VALUED NEUTROSOPHIC SOFT EXPERT SETS AND THEIR APPLICATION IN DECISION MAKING , 2016 .

[9]  Surapati Pramanik,et al.  An Extended Grey Relational Analysis Based Multiple Attribute Decision Making in Interval Neutrosophic Uncertain Linguistic Setting , 2016 .

[10]  Pramanik Surapati,et al.  Grey Relational Analysis based Intuitionistic Fuzzy Multi-Criteria Group Decision-Making Approach for Teacher Selection in Higher Education , 2011 .

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

[12]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[13]  Surapati Pramanik,et al.  Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers , 2015 .

[14]  Jean Pierre Brans,et al.  HOW TO SELECT AND HOW TO RANK PROJECTS: THE PROMETHEE METHOD , 1986 .

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

[16]  Florentin Smarandache,et al.  Bipolar neutrosophic sets and their application based on multi-criteria decision making problems , 2015, 2015 International Conference on Advanced Mechatronic Systems (ICAMechS).

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

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

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

[20]  J. Deng,et al.  Introduction to Grey system theory , 1989 .

[21]  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.

[22]  Jun Ye.  Single valued neutrosophic cross-entropy for multicriteria decision making problems , 2014 .

[23]  Surapati Pramanik,et al.  Extended Projection Based Models for Solving Multiple Attribute Decision Making Problems with Interval Valued Neutrosophic Information , 2016 .

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

[25]  Richard W. Hamming,et al.  Error detecting and error correcting codes , 1950 .

[26]  Surapati Pramanik,et al.  Multi-criteria Group Decision Making Approach for Teacher Recruitment in Higher Education under Simplified Neutrosophic Environment , 2014 .

[27]  Jun Ye,et al.  Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment , 2013, Int. J. Gen. Syst..

[28]  Bibhas C. Giri,et al.  Neutrosophic Soft Multi-Attribute Group Decision Making Based On Grey Relational Analysis Method , 2015 .

[29]  Kalyan Mondal,et al.  Rough Bipolar Neutrosophic Set , 2017 .

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

[31]  Surapati Pramanik,et al.  Value and ambiguity index based ranking method of single-valued trapezoidal neutrosophic numbers and its application to multi-attribute decision making , 2016 .

[32]  Simona Ronchi Della Rocca,et al.  λ Δ -Models , 2004 .

[33]  Gwo-Hshiung Tzeng,et al.  Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS , 2004, Eur. J. Oper. Res..

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

[35]  B. Roy.  The outranking approach and the foundations of electre methods , 1991 .

[36]  Surapati Pramanik,et al.  GRA BASED MULTI CRITERIA DECISION MAKING IN GENERALIZED NEUTROSOPHIC SOFT SET ENVIRONMENT , 2016 .

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

[38]  Surapati Pramanik,et al.  Hybrid vector similarity measures and their applications to multi-attribute decision making under neutrosophic environment , 2015, Neural Computing and Applications.

[39]  Jun Ye,et al.  Bidirectional projection method for multiple attribute group decision making with neutrosophic numbers , 2015, Neural Computing and Applications.

[40]  R. V. Rao,et al.  An improved grey relational analysis as a decision-making method for manufacturing situations , 2010 .

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

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

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

[44]  Sorin Nadaban,et al.  Neutrosophic TOPSIS: A general view , 2016, 2016 6th International Conference on Computers Communications and Control (ICCCC).

[45]  Surapati Pramanik,et al.  NEUTROSOPHIC REFINED SIMILARITY MEASURE BASED ON COTANGENT FUNCTION AND ITS APPLICATION TO MULTI-ATTRIBUTE DECISION MAKING , 2015 .

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

[47]  P. Dey,et al.  MULTI-CRITERIA GROUP DECISION MAKING IN INTUITIONISTIC FUZZY ENVIRONMENT BASED ON GREY RELATIONAL ANALYSIS FOR WEAVER SELECTION IN KHADI INSTITUTION , 2016 .

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