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

delete2024-09-09
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PRE
AI
S
Samane Saghi
A
Alireza Nazemi
S
Sohrab Effati *
M
Mahdi Ranjbar
DOI:10.1007/s40815-024-01790-4delete
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Abstract

Abstract

En 中文
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.
Keywords:
Hesitant fuzzy simplex algorithm
Hesitant fuzzy linear programming
Hesitant fuzzy ranking function
Hesitant fuzzy numbers

Journal

International Journal of Fuzzy Systems cover
International Journal of Fuzzy Systems
IF:
3.6
Papers:
2.2K
Citations:
4.3K

Organization

F
Ferdowsi University Mashhad
Scholars:
8.0K
Papers: 7.4K
Citations: 44
S
Shahrood University of Technology
Scholars:
2.2K
Papers: 2.3K
Citations: 1