Simplex Algorithm for Hesitant Fuzzy Linear Programming Problem with Hesitant Decision Variables and Right-hand-side Values

In order to make the best decisions in real-world applications, we must deal with optimization and decision-making problems that call for the input of experts and masters. Using an optimization problem with hesitant fuzzy parameters is important in these circumstances. Few studies have been done on...

Full description

Saved in:
Bibliographic Details
Published in:International journal of fuzzy systems Vol. 27; no. 2; pp. 481 - 491
Main Authors: Saghi, Samane, Nazemi, Alireza, Effati, Sohrab, Ranjbar, Mahdi
Format: Journal Article
Language:English
Published: Heidelberg Springer Nature B.V 01.03.2025
Subjects:
Algorithms
Fuzzy sets
Linear programming
Mathematical programming
Optimization
Pareto optimum
Set theory
Theorems
Variables
ISSN:1562-2479, 2199-3211
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In order to make the best decisions in real-world applications, we must deal with optimization and decision-making problems that call for the input of experts and masters. Using an optimization problem with hesitant fuzzy parameters is important in these circumstances. Few studies have been done on the problem of hesitant fuzzy linear programming (HFLP). Therefore, in this article we study HFLP problems with hesitant decision variables and right-hand-side values. In order to solve the mentioned optimization problems, we suggest the hesitant fuzzy simplex algorithm. For this, first state the optimization theorems then express the hesitant fuzzy simplex algorithm using the introduced linear ranking functions. We will finally test the implementation of the suggested strategy by solving two descriptive examples using hesitant fuzzy information.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1562-2479
2199-3211
DOI:10.1007/s40815-024-01790-4