Duality in fuzzy multi objective linear programming problem with multi constraint
type: Item
instance of: scholarly article
title: Duality in fuzzy multi objective linear programming problem with multi constraint
zbMATH Open document ID: 1390.90381
DOI: 10.1504/IJMOR.2014.060850
author: A. Chakraborty
author: S. P. Tiwari
author: Amares Chattopadhyay
author: Kalyan Chatterjee
published in: International Journal of Mathematics in Operational Research
publication date: 2018-06-06T00:00:00Z
review text: Summary: In this paper, a pair of primal and dual problems is introduced for multi objective linear programming problems under a fuzzy environment. Duality takes central place in linear programming. The study of duality in a multi objective fuzzy programming are few. In the present study, we have generalised the duality results in a fuzzy multi objective linear programming problem. Linear and exponential membership functions have been used to deal with fuzzy objective and constraints. Few duality results have been developed for the above problems to prove the duality relationship between them. The problem is illustrated by an example.
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 6881349
zbMATH Keywords: fuzzy mathematical programming
zbMATH Keywords: multi-objective linear programming
zbMATH Keywords: duality
zbMATH Keywords: membership function
MaRDI profile type: Publication
full work available at URL: ijmor.2014.060850
OpenAlex ID: W2051932136
description: scientific article; zbMATH DE number 6881349