International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2404 2020 2020 Departement of Mathematics, Universiti Teknologi Malaysia Johor, Malaysia Tariq Saali 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, 15551, Al Ain, United Arab Emirates Mhamed Mesfioui Departement of Mathematics, Universiti Teknologi Malaysia Johor, Malaysia Ani Shabri 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 2024 296 307 10.54216/IJNS.230224 https://www.americaspg.com/articleinfo/21/show/2404