DEFUZZIFICATION METHOD FOR SOLVING FUZZY LINEAR SYSTEMS

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SANEIFARD R.

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

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2009 | Volume:1 | Issue:4 Page(s): 321-331

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Title

DEFUZZIFICATION METHOD FOR SOLVING FUZZY LINEAR SYSTEMS

Author(s)

SANEIFARD R. | Issue Writer Certificate

Keywords

FUZZY NUMBER

DEFUZZIFICATION

FUZZY LINEAR SYSTEM

WEIGHTED DISTANCE

Abstract

In this article, it is attempted to develop a method for solving an arbitrary general FUZZY LINEAR SYSTEM by using the weighted metric. Using the distance between two FUZZY NUMBERs, the best and nearest approximation fuzzy symmetric vector can be obtained. Defuzzifi-cation can replace then × n FUZZY LINEAR SYSTEM with two n × n crisp linear systems. Consequently, to obtain the best approximate solution forn × n FUZZY LINEAR SYSTEM the researcher must solve twon × n crisp linear systems. First considering the existing and uniqueness of fuzzy solution ton×n FUZZY LINEAR SYSTEM is done. Then numerical examples are presented to illustrate the proposed model.

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APA: Copy

SANEIFARD, R.. (2009). DEFUZZIFICATION METHOD FOR SOLVING FUZZY LINEAR SYSTEMS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 1(4), 321-331. SID. https://sid.ir/paper/573462/en

Vancouver: Copy

SANEIFARD R.. DEFUZZIFICATION METHOD FOR SOLVING FUZZY LINEAR SYSTEMS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2009;1(4):321-331. Available from: https://sid.ir/paper/573462/en

IEEE: Copy

R. SANEIFARD, “DEFUZZIFICATION METHOD FOR SOLVING FUZZY LINEAR SYSTEMS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 1, no. 4, pp. 321–331, 2009, [Online]. Available: https://sid.ir/paper/573462/en

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