STRUKTUR IMAGE DAN PRE-IMAGE HOMOMORFISMA PADA TRANSLASI RING FUZZY INTUITIONISTIK

(STRUCTURE OF IMAGE AND PRE-IMAGE OF HOMOMORPHISMS IN INTUITIONISTIC FUZZY RING TRANSLATION)

  • Dian Pratama Universitas Nahdlatul Ulama Purwokerto

Abstract

ABSTRACT. A set that is characterized by membership function and a non-membership function with the sum of both at intervals of 0 to 1 is called intuitionistik fuzzy set.. When it’s applied in ring’s theory, it will called intuitionistic fuzzy ring. In this research,if the topics is membership fuction and non-membership function then there are translates operator. This operator only changes the values of the membership and non-membership function while the properties are fixed. This journal discussed the structure of image ad pre-image homomorphism of translates on intuitionistic fuzzy rings. The result obtained that the structure of image and pre-image is also intuitionistic fuzzy rings.
Keywords: fuzzy set, intuitionistic fuzzy ring, translates operator, image and pre-image.


ABSTRAK. Himpunan yang ditandai dengan adanya fungsi keanggotaan dan fungsi non-keanggotaan yang jumlahnya pada interval 0 sampai 1 disebut himpunan fuzzy intuitionistik. Apabila diaplikasikan pada teori ring, maka dinamakan ring fuzzy intuitionistik. Pada penelitian ini, jika dikaji lebih dalam mengenai fungsi keanggotaan dan non-keanggotaan maka terdapat istilah operator translasi. Operator ini hanya mengubah nilai dari fungsi keanggotaan dan non-keanggotaan sedangkan sifatnya tetap. Jurnal ini menguji tentang struktur dari image dan pre-image homomorfisma pada translasi ring fuzzy intuitionistik. Hasil yang diperoleh bahwa struktur dari image dan pre-image juga merupakan ring fuzzy intuitionistik.
Kata Kunci: himpunan fuzzy, ring fuzzy intuitionistik, operator translasi, image dan pre-image

Published
2020-05-18
How to Cite
PRATAMA, Dian. STRUKTUR IMAGE DAN PRE-IMAGE HOMOMORFISMA PADA TRANSLASI RING FUZZY INTUITIONISTIK. Jurnal Ilmiah Matematika dan Pendidikan Matematika, [S.l.], v. 11, n. 1, p. 59-68, may 2020. ISSN 2550-0422. Available at: <http://jos.unsoed.ac.id/index.php/jmp/article/view/1937>. Date accessed: 23 feb. 2024. doi: https://doi.org/10.20884/1.jmp.2020.12.1.1937.

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