Asset Details
Do you wish to reserve the book?
An optimization study based on Dijkstra algorithm for a network with trapezoidal picture fuzzy numbers
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
An optimization study based on Dijkstra algorithm for a network with trapezoidal picture fuzzy numbers
Do you wish to request the book?
An optimization study based on Dijkstra algorithm for a network with trapezoidal picture fuzzy numbers
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
An optimization study based on Dijkstra algorithm for a network with trapezoidal picture fuzzy numbers
2021
Overview
Path finding models attempt to provide efficient approaches for finding shortest paths in networks. A well-known shortest path algorithm is the Dijkstra algorithm. This paper redesigns it in order to tackle situations in which the parameters of the networks may be uncertain. To be precise, we allow that the parameters take the form of special picture fuzzy numbers. We use this concept so that it can flexibly fit the vague character of subjective decisions. The main contributions of this article are fourfold:
(
i
)
The trapezoidal picture fuzzy number along with its graphical representation and operational laws is defined.
(
ii
)
The comparison of trapezoidal picture fuzzy numbers on the basis of their expected values is proposed in terms of their score and accuracy functions.
(
iii
)
Based on these elements, we put forward an adapted form of the Dijkstra algorithm that works out a picture fuzzy shortest path problem, where the costs associated with the arcs are captured by trapezoidal picture fuzzy numbers. Also, a pseudocode for the application of our solution is provided.
(
iv
)
The proposed algorithm is numerically evaluated on a transmission network to prove its practicality and efficiency. Finally, a comparative analysis of our proposed method with the fuzzy Dijkstra algorithm is presented to support its cogency.
Publisher
Springer London,Springer Nature B.V
