Optimizing stock market investments using the fuzzy equitable fair domination integrity graph model

Karuppaiya  Balasubramanian; Eyalarasan  Prabha; Rathinam  Sankar; Tharmalingam Gunasekar

doi:10.5269/bspm.82044

Auteurs-es

Karuppaiya Balasubramanian PG & Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai -622001
Eyalarasan Prabha PG & Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai -622001
Rathinam Sankar Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai - 600062
Tharmalingam Gunasekar Vel Tech Rangarajan Dr.Sagunthala R & D Institute of Science and Technology

DOI :

https://doi.org/10.5269/bspm.82044

Résumé

This article proposes the Fuzzy Equitable Fair Domination Integrity (FEFDI) as an optimization framework for investments in the stock market. By representing investor, stock, and market trend relationships as a fuzzy graph, the FEFDI model presents a systematic way of maintaining equitable investment influence across industries while minimizing risk and maximizing return. The theoretical background of this paper consists of the formal definition of FEFDI sets, the fuzzy domination weak integrity function, and some fundamental propositions and theorems explaining the properties of FEFDI in different types of graphs, including complete graphs, path graphs, and trees. Specifically, the paper discusses how fuzzy domination numbers are related to the FEFDI number in connected fuzzy graphs and how monotonic it is in subgraphs. The application of the FEFDI approach to stock market analysis is illustrated using a numerical example, where it is explained how the model assists investors in determining the safest stocks to invest in by reducing over-concentration in certain sectors. The findings indicate that the FEFDI model is able to aid in diversifying the portfolio to optimal levels and in maximizing stable returns, presenting a theoretical as well as practical tool for investors seeking ethical, balanced, and diversified investments.

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