A modified approach for solving a fuzzy multi-objective programming problem View Full Text


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Article Info

DATE

2017-12

AUTHORS

Ahmed M. K. Tarabia, Mohamed A. E. Kassem, Noha M. El-Badry

ABSTRACT

Based on ranking of fuzzy numbers which deals with fuzzy-valued multi-objective programming problem and the modified crisp model, a modified approach is proposed. Also, two algorithms that play a pivotal role in the proposed method are introduced. The first one returns a ranking function to a given fuzzy number and the second algorithm uses the modified crisp model to deliver a Pareto optimal solution. Moreover, we investigate the stability of the first kind of the solution which is obtained using these algorithms. Finally, a numerical example is given to illustrate our modified approach, using Maple program. More... »

PAGES

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References to SciGraph publications

  • 2006-11. A survey of decision support system applications (1995–2001) in JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
  • 1993-06. Production planning via scenario modelling in ANNALS OF OPERATIONS RESEARCH
  • 2009-05. A fuzzy mathematical programming approach for cross-sell optimization in retail banking in JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
  • 1976. Stochastic Linear Programming in NONE
  • 1987. Fuzzy Sets, Decision Making, and Expert Systems in NONE
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    http://scigraph.springernature.com/pub.10.1186/s40535-016-0029-7

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    http://dx.doi.org/10.1186/s40535-016-0029-7

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