Some results in interval multiobjective linear programming for recognizing different solutions

Based on the concepts of efficiency and weak efficiency, different solutions are defined to multiobjective linear programming problems with interval objective functions coefficients. This paper introduces a new solution concept namely necessarily weak efficient. Moreover, we propose some new results...

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Bibliographic Details
Published in:Opsearch Vol. 52; no. 1; pp. 75 - 85
Main Authors: Rivaz, S., Yaghoobi, M. A.
Format: Journal Article
Language:English
Published: India Springer India 01.03.2015
Springer Nature B.V
Subjects:
Business and Management
Efficiency
Interval arithmetic
Intervals
Linear programming
Management
Mathematical analysis
Mathematical models
Mathematical programming
Mathematics
Nonlinear programming
Operations Research/Decision Theory
Optimization techniques
Recognition
Studies
Theoretical Article
Iran
Interval programming
Weak efficiency
Multiobjective linear programming
Efficiency
ISSN:0030-3887, 0975-0320
Online Access:Get full text
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Summary:Based on the concepts of efficiency and weak efficiency, different solutions are defined to multiobjective linear programming problems with interval objective functions coefficients. This paper introduces a new solution concept namely necessarily weak efficient. Moreover, we propose some new results for recognizing different kinds of solutions by using some linear and nonlinear programming models. To illustrate the results, a numerical example is given.
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ISSN:0030-3887
0975-0320
DOI:10.1007/s12597-013-0167-9