Figures & data
Figure 1. The μ-level set of selling price for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of selling price
and the bottom line indicates the lower level of selling price
.
![Figure 1. The μ-level set of selling price for β=0.8. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of selling price Pu(t) and the bottom line indicates the lower level of selling price Pl(t).](/cms/asset/22a71c50-52e1-4e26-9ff9-8aa75ec50189/tfie_a_2152885_f0001_oc.jpg)
Table 1. Values of unchangeable parameter.
Table 2. Input data of fuzzy parameters.
Table 3. The value of selling price, stock level of product, production rate, demand rate, profit at time T for .
Table 4. The value of selling price, stock level of product, production rate, demand rate, profit at time T for .
Table 5. The value of selling price, stock level of product, production rate, demand rate, profit at time T for .
Figure 2. The μ-level set of stock level for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of stock level
and the bottom line indicates the lower level of stock level
.
![Figure 2. The μ-level set of stock level for β=0.8. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of stock level Xu(t) and the bottom line indicates the lower level of stock level Xl(t).](/cms/asset/7109ca8e-b25d-47fe-ac21-b9a40a591475/tfie_a_2152885_f0002_oc.jpg)
Figure 3. The μ-level set of unit production for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of unit production
and the bottom line indicates the lower level of unit production
.
![Figure 3. The μ-level set of unit production for β=0.8. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of unit production Uu(t) and the bottom line indicates the lower level of unit production Ul(t).](/cms/asset/8516e147-3a1b-4784-8c63-30f54ae6a6b0/tfie_a_2152885_f0003_oc.jpg)
Figure 4. The μ-level set of demand for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of demand
and the bottom line indicates the lower level of demand
.
![Figure 4. The μ-level set of demand for β=0.8. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of demand Du(t) and the bottom line indicates the lower level of demand Dl(t).](/cms/asset/82a616ff-3897-44ea-97b2-6a1c0ed30008/tfie_a_2152885_f0004_oc.jpg)
Figure 5. The μ-level set of total profit for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of total profit
and the bottom line indicates the lower level of total profit
.
![Figure 5. The μ-level set of total profit for β=0.8. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of total profit Ju(t) and the bottom line indicates the lower level of total profit Jl(t).](/cms/asset/aa06f28d-8d42-42e8-9058-bbed33bf2dc9/tfie_a_2152885_f0005_oc.jpg)
Figure 6. The μ-level set of selling price for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of selling price
and the bottom line indicates the lower level of selling price
.
![Figure 6. The μ-level set of selling price for β=0.9. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of selling price Pu(t) and the bottom line indicates the lower level of selling price Pl(t).](/cms/asset/fc44fd4f-bf66-4837-9da6-42fa47c7c73b/tfie_a_2152885_f0006_oc.jpg)
Figure 7. The μ-level set of stock level for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of stock level
and the bottom line indicates the lower level of stock level
.
![Figure 7. The μ-level set of stock level for β=0.9. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of stock level Xu(t) and the bottom line indicates the lower level of stock level Xl(t).](/cms/asset/f7537550-ee75-4112-b398-23a316fecc93/tfie_a_2152885_f0007_oc.jpg)
Figure 8. The μ-level set of unit production for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of unit production
and the bottom line indicates the lower level of unit production
.
![Figure 8. The μ-level set of unit production for β=0.9. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of unit production Uu(t) and the bottom line indicates the lower level of unit production Ul(t).](/cms/asset/102faa49-4642-4b45-899f-ccb6032c7594/tfie_a_2152885_f0008_oc.jpg)
Figure 9. The μ-level set of demand for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of demand
and the bottom line indicates the lower level of demand
.
![Figure 9. The μ-level set of demand for β=0.9. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of demand Du(t) and the bottom line indicates the lower level of demand Dl(t).](/cms/asset/1a8db3b2-c30a-46ac-9749-e95cb0da4c15/tfie_a_2152885_f0009_oc.jpg)
Figure 10. The μ-level set of total profit for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of total profit
and the bottom line indicates the lower level of total profit
.
![Figure 10. The μ-level set of total profit for β=0.9. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of total profit Ju(t) and the bottom line indicates the lower level of total profit Jl(t).](/cms/asset/4b9b0a91-72ae-4d0b-9c23-37e2079dcbe9/tfie_a_2152885_f0010_oc.jpg)
Figure 11. The μ-level set of selling price for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of selling price
and the bottom line indicates the lower level of selling price
.
![Figure 11. The μ-level set of selling price for β=1. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of selling price Pu(t) and the bottom line indicates the lower level of selling price Pl(t).](/cms/asset/1ebae8ff-6f60-4420-8283-f3203ee5886f/tfie_a_2152885_f0011_oc.jpg)
Figure 12. The μ-level set of stock level for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of stock level
and the bottom line indicates the lower level of stock level
.
![Figure 12. The μ-level set of stock level for β=1. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of stock level Xu(t) and the bottom line indicates the lower level of stock level Xl(t).](/cms/asset/d0e7ef84-6128-4d78-a0af-d867785534da/tfie_a_2152885_f0012_oc.jpg)
Figure 13. The μ-level set of unit production for . The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for
. The top most line indicates the upper level of unit production
and the bottom line indicates the lower level of unit production
.
![Figure 13. The μ-level set of unit production for β=1. The ten curves show left and right end points of μ-level sets of fuzzy function respectively, for μ∈[0,1]. The top most line indicates the upper level of unit production Uu(t) and the bottom line indicates the lower level of unit production Ul(t).](/cms/asset/00ebbdb2-22bb-4143-b43e-c47a20b44f91/tfie_a_2152885_f0013_oc.jpg)