A MOLP method for solving fully fuzzy linear programming with \textit{LR} fuzzy parameters
type: Item
instance of: scholarly article
title: A MOLP method for solving fully fuzzy linear programming with \textit{LR} fuzzy parameters
zbMATH Open document ID: 1407.90385
DOI: 10.1155/2014/782376
author: Xiao-Peng Yang
author: Xue-Gang Zhou
author: Bingyuan Cao
author: Seyed Hadi Nasseri
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: \textit{J. Kaur} and \textit{A. Kumar} [Appl. Math. Modelling 37, No. 12--13, 7142--7153 (2013; Zbl 1426.90268)] use Mehar's method to solve a kind of fully fuzzy linear programming (FFLP) problems with \textit{LR} fuzzy parameters. In this paper, a new kind of FFLP problems is introduced with a solution method proposed. The FFLP is converted into a multiobjective linear programming (MOLP) according to the order relation for comparing the \textit{LR} flat fuzzy numbers. Besides, the classical fuzzy programming method is modified and then used to solve the MOLP problem. Based on the compromised optimal solution to the MOLP problem, the compromised optimal solution to the FFLP problem is obtained. At last, a numerical example is given to illustrate the feasibility of the proposed method.
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 7017246
Wikidata QID: Q59072136
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/782376
OpenAlex ID: W2032322482
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description: scientific article; zbMATH DE number 7017246