On fuzzy random multiobjective quadratic programming

In this paper, a multiobjective quadratic programming problem having fuzzy random coefficients matrix in the objective and constraints and the decision vector are fuzzy pseudorandom variables is considered. First, we show that the efficient solutions of fuzzy quadratic multiobjective programming pro...

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Bibliographic Details
Published in:European journal of operational research Vol. 193; no. 2; pp. 329 - 341
Main Author: Ammar, E.E.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.03.2009
Elsevier
Elsevier Sequoia S.A
Series:European Journal of Operational Research
Subjects:
Applied sciences
Decision theory
Exact sciences and technology
Fuzzy logic
Fuzzy numbers
Fuzzy programming
Fuzzy random variables
Interval analysis
Mathematical programming
Matrix
Multiobjective quadratic programming
Multiobjective quadratic programming Fuzzy programming Fuzzy numbers Fuzzy random variables Interval analysis
Operational research and scientific management
Operational research. Management science
Quadratic programming
Studies
Interval analysis
Fuzzy random variables
Fuzzy programming
Multiobjective quadratic programming
Fuzzy numbers
Random matrix
Multiobjective programming
Quadratic programming
Interval arithmetic
Fuzzy logic
Efficiency
Fuzzy decision
Random variable
ISSN:0377-2217, 1872-6860
Online Access:Get full text
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Summary:In this paper, a multiobjective quadratic programming problem having fuzzy random coefficients matrix in the objective and constraints and the decision vector are fuzzy pseudorandom variables is considered. First, we show that the efficient solutions of fuzzy quadratic multiobjective programming problems are resolved into series-optimal-solutions of relative scalar fuzzy quadratic programming. Some theorems are proved to find an optimal solution of the relative scalar quadratic multiobjective programming with fuzzy coefficients, having decision vectors as fuzzy variables. At the end, numerical examples are illustrated in the support of the obtained results.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2007.11.031