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

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...

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Published in:Applied informatics Vol. 4; no. 1; pp. 1 - 11
Main Authors: Tarabia, Ahmed M. K., Kassem, Mohamed A. E., El-Badry, Noha M.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 05.01.2017
Springer Nature B.V
Subjects:
Algorithms
Artificial Intelligence
Bioinformatics
Computer Applications
Computer Imaging
Computer Science
Fuzzy systems
Goal programming
Health Informatics
Health Sciences
Mathematical models
Mathematical programming
Medicine
Multiple objective analysis
Pareto optimum
Pattern Recognition and Graphics
Ranking
Statistics for Life Sciences
Vision
Scalarization function
Ranking function
Multi-objective
Nonlinear programming
Fuzzy number
ISSN:2196-0089, 2196-0089
Online Access:Get full text
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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.
AbstractList 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.
ArticleNumber 1
Author El-Badry, Noha M.
Tarabia, Ahmed M. K.
Kassem, Mohamed A. E.
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  givenname: Ahmed M. K.
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  givenname: Noha M.
  surname: El-Badry
  fullname: El-Badry, Noha M.
  email: nooha_moh@yahoo.com
  organization: Mathematics Department, Faculty of Science, Damietta University
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Cites_doi 10.2140/pjm.1967.21.167
10.1007/978-94-009-3249-4
10.1016/S0377-2217(98)00128-3
10.1016/j.ejor.2010.07.016
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Applied Informatics is a copyright of Springer, (2017). All Rights Reserved.
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Keywords Scalarization function
Ranking function
Multi-objective
Nonlinear programming
Fuzzy number
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Snippet Based on ranking of fuzzy numbers which deals with fuzzy-valued multi-objective programming problem and the modified crisp model, a modified approach is...
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SubjectTerms Algorithms
Artificial Intelligence
Bioinformatics
Computer Applications
Computer Imaging
Computer Science
Fuzzy systems
Goal programming
Health Informatics
Health Sciences
Mathematical models
Mathematical programming
Medicine
Multiple objective analysis
Pareto optimum
Pattern Recognition and Graphics
Ranking
Statistics for Life Sciences
Vision
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Title A modified approach for solving a fuzzy multi-objective programming problem
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