Subjects Variables Explanation Farmer $C{F}_{i}\left(C{{F}^{\prime }}_{i},C{{F}^{″}}_{i}\right)$ Production cost of agricultural products, $C{{F}^{\prime }}_{i},C{{F}^{″}}_{i}$ represents production cost of signing the keeping fresh contract and not signing the keeping fresh contract respectively. $i$ expresses different kinds of agricultural products. ${\gamma }_{1}\in \left[{{\gamma }^{\prime }}_{1},{{\gamma }^{″}}_{1}\right]$ Effort level to ensure the quality of fresh agricultural products. ${{\gamma }^{\prime }}_{1},{{\gamma }^{″}}_{1}$ represents the minimum and maximum level of effort, both in the 0 - 1. ${p}_{i1}\left({{p}^{\prime }}_{i1},{{p}^{″}}_{i1}\right)$ Wholesale price of agricultural products, ${{p}^{\prime }}_{i1},{{p}^{″}}_{i1}$ represents wholesale price of signing the keeping fresh contract and not signing the keeping fresh contract respectively. Super- market $C{M}_{i}\left({p}_{i1}\right)$ Purchase cost of agricultural products, $C{{M}^{\prime }}_{i},C{{M}^{″}}_{i}$ represents purchase cost of signing the keeping fresh contract and not signing the keeping fresh contract respectively. ${Q}_{i}$ The total amount of agricultural products purchased. $C{T}_{1}\left(C{{T}^{\prime }}_{1},C{{T}^{″}}_{1}\right)$ Transportation cost of agricultural products, $C{{T}^{\prime }}_{1},C{{T}^{″}}_{1}$ represents the payment of the cost of transport for logistics company of signing the keeping fresh contract and not signing the keeping fresh contract respectively. ${p}_{i2}\left({{p}^{\prime }}_{i2},{{p}^{″}}_{i2}\right)$ Sales price of agricultural products, ${{p}^{\prime }}_{i2},{{p}^{″}}_{i2}$ represents the sales price of signing the keeping fresh contract and not signing the keeping fresh contract respectively. Logistics company $C{T}_{2}$ The transportation cost of logistics company. ${\gamma }_{2}\in \left[{{\gamma }^{\prime }}_{2},{{\gamma }^{″}}_{2}\right]$ Effort level to ensure the quality of fresh agricultural products. ${{\gamma }^{\prime }}_{2},{{\gamma }^{″}}_{2}$ represents the minimum and maximum level of effort, both in the 0 - 1. Parameter variable $\theta \left({\gamma }_{i},{\epsilon }_{1}\right)\in \left[0,1\right]$ Fresh level of agricultural products, increasing with ${\gamma }_{i}$ , $\theta \left({\gamma }_{i},{\epsilon }_{1}\right)=\theta \left({\gamma }_{i}\right){\epsilon }_{1}$ ${\epsilon }_{\text{1}}$ Random variables under uncertain conditions. ${K}_{1},{K}_{2}$ Price elasticity of different price. $\pi F\left(\pi {F}^{\prime },\pi {F}^{″}\right)$ $\pi M\left(\pi {M}^{\prime },\pi {M}^{″}\right)$ $\pi T\left(\pi {T}^{\prime },\pi {T}^{″}\right)$ Respectively, on behalf of the profit of farmer, supermarket and logistics company in the case of signing the fresh-keeping contract. Consumer ${\epsilon }_{\text{2}}$ Random variables under uncertain conditions. ${D}_{i}\left({p}_{i2},\theta \right)$ Demand function, is related to fresh level of agricultural products.