Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients

Joint Authors

Cao, Bing-Yuan
Nasseri, Seyed Hadi
Zhou, Xue-Gang

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-23

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

The purpose of the present paper is to investigate optimality conditions and duality theory in fuzzy number quadratic programming (FNQP) in which the objective function is fuzzy quadratic function with fuzzy number coefficients and the constraint set is fuzzy linear functions with fuzzy number coefficients.

Firstly, the equivalent quadratic programming of FNQP is presented by utilizing a linear ranking function and the dual of fuzzy number quadratic programming primal problems is introduced.

Secondly, we present optimality conditions for fuzzy number quadratic programming.

We then prove several duality results for fuzzy number quadratic programming problems with fuzzy coefficients.

American Psychological Association (APA)

Zhou, Xue-Gang& Cao, Bing-Yuan& Nasseri, Seyed Hadi. 2014. Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-475722

Modern Language Association (MLA)

Zhou, Xue-Gang…[et al.]. Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-475722

American Medical Association (AMA)

Zhou, Xue-Gang& Cao, Bing-Yuan& Nasseri, Seyed Hadi. Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-475722

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-475722