aspg-21-2404-1791468730 20261008141210 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 2 Tariq Saali Departement of Mathematics, Universiti Teknologi Malaysia Johor, Malaysia Mhamed Mesfioui D´epartement de math´ematiques et d’informatique, Universit´e du Qu´ebec `a Trois-Rivi`eres, Trois-Rivi`eres (Qu´ebec), Canada, and Department of Statistics, United Arab Emirates University, Ani Shabri Departement of Mathematics, Universiti Teknologi Malaysia Johor, Malaysia This paper introduces an innovative multivariate exponential distribution, specifically of Raftery type, characterized by heterogeneous dependence parameters. Various properties of this distribution family are thoroughly investigated, with particular emphasis placed on the copula derived from this model. Notably, this copula is non-exchangeable and demonstrates multiple dependence parameters. Different properties associated with this novel copula, including the examination of estimation parameters, have been thoroughly investigated. The efficacy of the proposed copula is demonstrated through its successful application in modeling a real neutrosophic dataset associated with the New York and American Stock Exchanges. 2024 296 307 2404 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230224 https://www.americaspg.com/journal/21/article/2404 https://www.americaspg.com/storage/71705339830.pdf