SIFAT-SIFAT OPERASI FUZZY MATRIX

  • Ahmad Mahmudi
Keywords: fuzzy matrix, operasi aritmatika, operasi transpos

Abstract

Fuzzy matrix adalah suatu matriks dimana elemen-elemennya terdiri dari bilangan

fuzzy  pada  interval  ,   -dinotasikan  dengan   ̃                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              [     ]         {          ,   -

}. Seperti pada matriks real, fuzzy matrix juga mempunyai operasi arit-

matika maupun operasi transpos. Operasi penjumlahan, pengurangan, perkalian dan

transpos   fuzzy   matrix   berturut-turut   didefinisikan   dengan:    ̃                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     ̃                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ̃                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ̃

(            ),  ̃                                                                                                          ̃                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       (        (            )) dan ( ̃)        (     ).

Sebagaimana matriks real, fuzzy matrix juga memiliki sifat-sifat atau operasi-operasi

tertentu, maka dalam artikel ini akan dibahas pembuktikan sifat-sifat operasi arit- matika dan operasi transpos yang berlaku pada fuzzy matrix.

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Published
2014-08-04
How to Cite
Mahmudi, A. (2014). SIFAT-SIFAT OPERASI FUZZY MATRIX. Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika, 5(1), 293-304. Retrieved from http://prosiding.unirow.ac.id/index.php/snmpm/article/view/32