Gohar Shakouri - PhD in Operations Research, Unit of Optimization and Logistics Research, University of Mazandaran, Babolsar. *Rahman Institute of Higher Education, Ramsar, Iran
Parastoo Niksefat Dogori - Ph.D. Student, University of Mazandaran, Faculty of Mathematical Sciences, Department of Mathematics, Babolsar,Mazandaran, Iran.
Seyed Hadi Nasseri - Associate Professor, University of Mazandaran, Faculty of Mathematical Sciences, Department of Mathematics, Babolsar,Mazandaran, Iran.

Since most real-life issues take place in an imprecise environment, the uncertain parameters of models based on these issues are also more realistic. The main focus of this article is the development of the solid transportation problem with fuzzy cost coefficients and fuzzy-flexible supply and demand constraints and transportation capacity, which aims to minimize costs. In order to adapt to real conditions, a flexible fuzzy hybrid model is studied for the solid transportation model with supply and demand constraints and flexible fuzzy vehicles. A combined Goal programing and parametric approach is proposed to obtain the best satisfactory solution.

Multi-parametric Flexible Fuzzy Transportation Problem, Solid Transportation, Mmembership Function, Goal Programing