Preprint Article Version 1 This version not peer reviewed

NC-TODIM Based MAGDM under Neutrosophic Cubic Set Environment

Version 1 : Received: 19 October 2017 / Approved: 23 October 2017 / Online: 23 October 2017 (04:53:57 CEST)

A peer-reviewed article of this Preprint also exists.

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. Information 2017, 8, 149.

Journal reference: Information 2017, 8, 149
DOI: 10.3390/info8040149

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.

Subject Areas

neutrosophic cubic set; single valued neutrosophic set; interval neutrosophic set; multi attribute group decision making; TODIM method; NC-TODIM

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