An Original Notion to Find Maximal Solution in the Fuzzy Neutrosophic Relation Equations (FNRE) with Geometric Programming (GP)

In this paper, finding - a maximal solution is introduced to (𝑉, 𝛬) fuzzy neutrosophic relation equation. the notion of fuzzy relation equation was first investigated by Sanchez in 1976, while Florentin Smarandache put forward a fuzzy neutrosophic relation equations in 2004 with innovative investigation. This paper is first attempt to establish the structure of solution set on model. The NRE have a wide applications in various real world problems like flow rate in chemical plants, transportation problem, study of bounded labor problem, study of interrelations among HIV/AIDS affected patients and use of genetic algorithms in chemical problems .