2009
DOI: 10.4236/jsea.2009.24031
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A New Interactive Method to Solve Multiobjective Linear Programming Problems

Abstract: Multiobjective Programming (MOP) has become famous among many researchers due to more practical and realistic applications. A lot of methods have been proposed especially during the past four decades. In this paper, we develop a new algorithm based on a new approach to solve MOP by starting from a utopian point, which is usually infeasible, and moving towards the feasible region via stepwise movements and a simple continuous interaction with decision maker. We consider the case where all objective functions an… Show more

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Cited by 10 publications
(9 citation statements)
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“…In the present era of technology, the infusion of machine learning algorithms into different machine tools has emerged as an innovative way to minimize the human involvement for different machining operations and also to improve accuracy and productivity in various machining operations. The use of machine learning algorithms into the machine tools promotes the development of artificial intelligence into the different machines by experienced-based learning (Sadjadi & Makui, 2002;Sadrabadi & Sadjadi, 2009;Moghaddam et al, 2012;Angra et al, 2018;Balic et al, 2006;Chanda et al, 2018;Deb et al, 2006;Chawla et al, 2017;Chawla et al, 2018aChawla et al, , 2018bChawla et al, , 2018cChawla et al, , 2018dChawla et al, , 2019aChawla et al, , 2019bChawla et al, , 2019cChawla et al, , 2019d. Commonly the machine learning algorithm is provided with some data sets or machining programs which are used for training of the algorithm (Warwick, 2013;Russell & Norvig, 2016).…”
Section: Introductionmentioning
confidence: 99%
“…In the present era of technology, the infusion of machine learning algorithms into different machine tools has emerged as an innovative way to minimize the human involvement for different machining operations and also to improve accuracy and productivity in various machining operations. The use of machine learning algorithms into the machine tools promotes the development of artificial intelligence into the different machines by experienced-based learning (Sadjadi & Makui, 2002;Sadrabadi & Sadjadi, 2009;Moghaddam et al, 2012;Angra et al, 2018;Balic et al, 2006;Chanda et al, 2018;Deb et al, 2006;Chawla et al, 2017;Chawla et al, 2018aChawla et al, , 2018bChawla et al, , 2018cChawla et al, , 2018dChawla et al, , 2019aChawla et al, , 2019bChawla et al, , 2019cChawla et al, , 2019d. Commonly the machine learning algorithm is provided with some data sets or machining programs which are used for training of the algorithm (Warwick, 2013;Russell & Norvig, 2016).…”
Section: Introductionmentioning
confidence: 99%
“…A new reference value for the unsatisfactory objective is reached after the solution of an auxiliary problem. Sadrabadi and Sadjadi [15] developed a new algorithm based on a new approach to solve the MOP by starting from utopian point, which is usually infeasible, and moving towards the feasible region via stepwise movement and a simple continuous interaction with DM. De and Yadav [5] proposed an algorithm for solving multiobjective assignment problem through interactive fuzzy programming approach.…”
Section: Introductionmentioning
confidence: 99%
“…In order to address the production planning problems statically and dynamically, Sadjadi and Makui (2002) introduced a novel method. Sadrabadi and Sadjadi (2009) introduced an interactive algorithm and solved multi-objective problems. The algorithm solved nonlinear utility effectively and also developed solutions towards the feasible area.…”
Section: Literature Reviewmentioning
confidence: 99%