Fuzzy Relational Mathematical Programming by Bing-Yuan Cao & Ji-Hui Yang & Xue-Gang Zhou & Zeinab Kheiri & Faezeh Zahmatkesh & Xiao-Peng Yang

Author:Bing-Yuan Cao & Ji-Hui Yang & Xue-Gang Zhou & Zeinab Kheiri & Faezeh Zahmatkesh & Xiao-Peng Yang
Language: eng
Format: epub
ISBN: 9783030337865
Publisher: Springer International Publishing

5.2.2 Solving Solution on Model (5.2.2)

Let us consider the function as follows.

(5.2.6)

the taken optimum value of f(x) is related to exponent of .

Now we discuss Model (5.2.2) through the following three cases.

Lemma 5.2.4

If , then maximal solution to Model (5.2.1) is optimum one to (5.2.2).

Proof Since , then

for each with . Then is a monotone decreasing function about , so it is easy to know is also one about .

Moreover, , when , then

such that , so is optimum solution to Model (5.2.2).

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.