OPTIMIZATION OF MULTI OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

KHOVEYNI MOHAMMAD; KHORAM ESMAEIL

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of Operational Research in its Applications Year:2008 | Volume:5 | Issue:18 Page(s): 9-17

Download Full-Text

Persian Verion

View:

2,989

Download:

Cites:

Information Journal Paper

Title

OPTIMIZATION OF MULTI OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR

Author(s)

KHOVEYNI MOHAMMAD | KHORAM ESMAEIL | Issue Writer Certificate

Keywords

FUZZY SET THEORYQ4

FUZZY RELATION EQUATIONSQ4

YAGER'S UNION OPERATORQ4

LINEAR OBJECTIVE FUNCTION OPTIMIZATIONQ4

BRANCH AND BOUNDED METHODQ4

INTEGER PROGRAMMING 0-1Q4

LP METRIC METHODSQ4

MULTI OBJECTIVE FUNCTIONS OPTIMIZATIONQ4

Abstract

An optimization model with a multi objective function subject to a system of FUZZY RELATION EQUATIONS with Yager’s union operator is presented. The solution set of such a FUZZY RELATION EQUATIONS is a non-convex set. Thus, the ordinary methods such as simplex or interior point methods don't use for solving these problems. In this paper, we first characterize the feasible solution set and then, optimize a linear objective function. In order to optimize it, we convert it to an equivalent problem involving 0-1 integer programming with a branch-and-bound solution technique. Finally, we optimize a multi objective function with LP metric methods. Furthermore, a concrete example is included for illustration purpose.

Cites

No record.

References

No record.

Cite

APA: Copy

KHOVEYNI, MOHAMMAD, & KHORAM, ESMAEIL. (2008). OPTIMIZATION OF MULTI OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 5(18), 9-17. SID. https://sid.ir/paper/164708/en

Vancouver: Copy

KHOVEYNI MOHAMMAD, KHORAM ESMAEIL. OPTIMIZATION OF MULTI OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2008;5(18):9-17. Available from: https://sid.ir/paper/164708/en

IEEE: Copy

MOHAMMAD KHOVEYNI, and ESMAEIL KHORAM, “OPTIMIZATION OF MULTI OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 5, no. 18, pp. 9–17, 2008, [Online]. Available: https://sid.ir/paper/164708/en

Related Journal Papers