A Hybrid MAGDM Approach of Neutrosophic TOPSIS LINMAP method for developing Enterprise Selection Criteria

G.Tamilarasi; S.Paulraj; M.Sivanandha Saraswathy; Thanuja T S

Authors

G.Tamilarasi Assistant Professor,Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Krishnankoil,Virudhunagar
S.Paulraj Professor & Head, Department of Mathematics, College of Engineering Guindy, Anna University, Chennai;
M.Sivanandha Saraswathy Associate Professor, Velammal College of Engineering and Technology, Virahanoor,Madurai;
Thanuja T S Department of Mathematics, AL- AMEEN College, EDATHALA, ALUVA, Ernakulam;

Keywords:

Single valued trapezoidal neutrosophic number; decision making; Neutrosophic Linear program ming technique for multidimensional analysis of preference; Hamming distance;Relative closeness coefficient; Consistency and inconsistency measurements; Borda’s scores

Abstract

Multi-attribute group decision-making (MAGDM) problems have traditionally been addressed us
ing approaches like the standard LINMAP and TOPSIS. However, existing studies utilizing these methods
often face challenges in handling uncertain, vague, and incomplete data, especially when working with fuzzy
or intuitionistic environments. Additionally, traditional methods have limitations in modeling and computing
with more complex, nuanced information such as neutrosophic numbers, which are better suited for capturing
the indeterminacy inherent in real-world decision-making problems.
In this research, we provide a novel approach to handle MAGDM problems under a SVTN number
framework, extending the classic LINMAP approach to the neutrosophic context. The new method overcomes
the shortcomings of existing techniques by providing a more robust decision-making model that incorporates
neutrosophic uncertainty. Furthermore, we propose an integrated approach combining neutrosophic LINMAP
with TOPSIS, offering a comprehensive solution to MAGDM problems that is more adaptable to practical
enterprise selection scenarios.
This method is intended to increase decision-making accuracy and dependability when faced with am
biguous and insufficient information. The usefulness of the suggested technique is illustrated by a real-world
example that shows how the integrated neutrosophic LINMAP-TOPSIS strategy may be used for enterprise
selection and produces better outcomes than standard techniques.