Pramanik, S.; Dalapati, S.; Alam, S.; Roy, T.K. NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment. Information2017, 8, 149.
Pramanik, S.; Dalapati, S.; Alam, S.; Roy, T.K. NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment. Information 2017, 8, 149.
Pramanik, S.; Dalapati, S.; Alam, S.; Roy, T.K. NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment. Information2017, 8, 149.
Pramanik, S.; Dalapati, S.; Alam, S.; Roy, T.K. NC-TODIM-Based MAGDM under a Neutrosophic Cubic Set Environment. Information 2017, 8, 149.
Abstract
Neutrosophic cubic set is the hybridization of the concept of neutrosophic set and interval neutrosophic set. Neutrosophic cubic set has the capacity to express the hybrid information of both the interval neutrosophic set and the single valued neutrosophic set simultaneously. As newly defined, little research on the operations and applications of neutrosophic cubic sets appear in the current literature. In the present paper we propose the score, accuracy functions for neutrosophic cubic sets and prove their basic properties. We firstly develop TODIM method to solve multi attribute group decision making in neutrosophic cubic set environment, which we call NC-TODIM. Also, we solve a MAGDM problem using the proposed NC-TODIM method to show the applicability and effectiveness of the developed method. We also conduct sensitivity analysis to show the impact of ranking order of the alternatives for different values of attenuation factor of losses for multi-attribute group decision making problem.
Keywords
neutrosophic cubic set; single valued neutrosophic set; interval neutrosophic set; multi attribute group decision making; TODIM method; NC-TODIM
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
