Strict sensitivity analysis in fuzzy quadratic programming

Quadratic programming can be seen both as a general approach to linear programming and a special class of non-linear programming. Moreover, quadratic programming problems are of utmost importance in an increasing variety of practical fields, such as, regression, efficient production and portfolio se...

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Bibliographic Details
Published in:Fuzzy sets and systems 2012-07, Vol.198, p.99-111
Main Authors: Kheirfam, Behrouz, Verdegay, José-Luis
Format: Article
Language:English
Subjects:
Fuzzy
Fuzzy linear programming
Fuzzy logic
Fuzzy quadratic programming
Fuzzy set theory
Mathematical analysis
Mathematical models
Quadratic forms
Quadratic programming
Ranking function
Sensitivity analysis
Trapezoidal fuzzy number
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Summary:Quadratic programming can be seen both as a general approach to linear programming and a special class of non-linear programming. Moreover, quadratic programming problems are of utmost importance in an increasing variety of practical fields, such as, regression, efficient production and portfolio selection. As ambiguity and vagueness are natural and ever-present in real-life situations requiring solutions, it makes perfect sense to attempt to address them using fuzzy quadratic programming problems. The main purpose of this paper is to study the strictly sensitivity analysis for fuzzy quadratic programming when simultaneously and independently variations occur in the right-hand-side of the constraints and the coefficients of the objective function. One presents computable auxiliary problems to identify the invariance intervals and give a fuzzy quadratic form of the optimal value function too. Some numerical examples are presented to illustrate the proposed method.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2011.10.019