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All Journal Epsilon: Jurnal Matematika Murni dan Terapan AKSIOMA: Jurnal Program Studi Pendidikan Matematika Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Journal of Fundamental Mathematics and Applications (JFMA) Pattimura Proceeding : Conference of Science and Technology Jurnal Pengabdian Pada Masyarakat

Hijriati, Naimah

Program Studi Matematika Fakultas MIPA Universitas Lambung Mangkurat

Author-ID : 5335956

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HOMOMORFISMA PADA SEMIGRUP-Г Ismania Tanjung Sari; Na'imah Hijriati; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 5, No 2 (2011): JURNAL EPSILON VOLUME 5 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Abstract algebra is a part of mathematics that studies the principles orrules which will then be used to demonstrate the truth of a statement (theorem).One part of abstract algebra is semigroup and one of it’s generalization is Г-semigroup. An nonempty sets S is called Г-semigroup if  γ, μ  Г and  a, b, c S by aγb  S and (aγb)μc = aγ(bμc). On Г-semigroup, there is theorem ofhomomorphism and called Γ-homomorphism. A mapping  : S T , with S and Tis a Г-semigroup called Γ-homomorphism if  x, y  S dan γ  Г, it’s exist (xγy) =  (x)γ (y).

HOMOMORFISMA DAN ANTI-HOMOMORFISMA DARI LEVEL SUBGRUP DALAM SUBGRUP FUZZY Achmad Riduansyah; Na'imah Hijriati; Saman Abdurrahman
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 2 (2015): JURNAL EPSILON VOLUME 9 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

One development of algebra is to combine the concept of algebra with the concept of fuzzy set. Some researchers have also found the development of the fuzzy set in algebraic fields, including fuzzy subgroups. Furthermore, in the subgroup fuzzy known subgroup level is a subgroup of the group. This study proves the image and pre-image homomorphism and anti homomorphism of the subgroup level in fuzzy subgroups. The study was conducted by studying literature from various sources, both books and journals that support and relevant to the review conducted. Based on the research conducted by some properties of image and pre-image homomorphism in the fuzzy subgroup is a fuzzy subgroup, a fuzzy subset of ββ is a fuzzy subgroup of ???????? if and only if the fuzzy subset level of bβ (ββ????????) is a subgroup of ????????, if ???????? group and subgrup from ???????? then there is a fuzzy βgubsubsup of so such that ββ???????? = ???????? for every ????????∈ [0,1] and the image and pre-image homomorphism and anti-homomorphism of the subgroup level are subgroup level.

IDEAL FUZZY RING Nailah Nailah; Saman Abdurrahman; Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

At this time the research on the ideal ring not only exist in the structure but can be combined with the concept of fuzzy set is the ideal fuzzy ring. This study proves the properties that express the relationship between ideal ring and ideal fuzzy ring. The study was conducted by studying literature from various sources, both books and journals that support and relevant to the review conducted. Based on the research, it is found that the ideal properties of fuzzy ring is if μμ ideal fuzzy in ring R and μμ (????????) <μμ (????????) for each ????????, ????????∈???????? apply μμ (????????-????????) = μμ (????????) = μμ (????????-????????). The properties that express the relationship between the ideal ring and the ideal fuzzy ring are a fuzzy subset is the fuzzy ideal in R if and only if the subset level μμ???????? is ideal in R, if I is ideal in R then there is μμ which is the ideal fuzzy ring in R such that μμ???????? = ???????? and the similarity nature of the two subset levels of a fuzzy subset in the ring are the same if and only if there is no ????????∈???????? such that ????????1≤μμ (????????) <????????2, and if μμ is ideal fuzzy in ring R then the ideal level of μμ is μμ????????0⊆μμ????????1⊆ ⋯ ⊆μμ???????????????? = ????????

IDEAL PRIMA FUZZY NEAR-RING Saman Abdurrahman; Na'imah Hijriati; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 7, No 1 (2013): JURNAL EPSILON VOLUME 7 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

We discuss the prime ideal of near-ring, fuzzy prime ideal of near-ring whichincludes the relationship between prime ideal of near-ring and fuzzy prime ideal of near-ring.

STRUKTUR HEMIRING Noviliani Noviliani; Saman Abdurrahman; Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Hemiring is a non-empty set which is equipped with the addition operation " " and the multiplication operation " " and satisfied four conditions, namely: is a commutative monoid with an identity element of , is semigroup, satisfied distributive properties the multiplication over addition on both sides, and satisfied for each . There are several types of hemiring such as idempotent hemiring, zerosumfree hemiring, simple hemiring and others. In this paper, it discusses the sufficient and necessary conditions of a hemiring that is said to be commutative and said to be simple, prove the characteristics of the operation in zerosumfree hemiring, idempotent hemiring, and simple hemiring.

OPERASI DAN ISOMORFISMA PADA GRAF FUZZY M-STRONG Adelia Niken Puspitasari; Naimah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 10, No 1 (2016): JURNAL EPSILON VOLUME 10 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

The fuzzy graph M-strong part of the fuzzy graph whose degree of membership is equal to the minimum of the two-point membership degree that links it. The aim of this research is to prove the close nature of M-strong fuzzy graph on join operation, cartesian product, composition and its complement and also to prove the isomorphism of M-strong fuzzy graph. The result of this research is that the join of two fuzzy graphs is M-strong fuzzy graph if and only if both are M-strong fuzzy graphs. Cartesian product and the composition of two M-strong fuzzy graphs will produce an M-strong fuzzy graph. If the complement of the fuzzy graph complement is the same as the fuzzy graph itself, then the fuzzy graph is the M-strong fuzzy graph. If there is an ???????? and ???????? 'isomorphic fuzzy graph then ???????? is an M-fuzzy graph if and only if ????????' is also an M-strong fuzzy graph. If fuzzy graph ???????? isomorphic co-weak with M-strong fuzzy graph ???????? 'then ???????? is also an M-strong fuzzy graph and if ???????? isomorphic with ????????' then ???????? is connected if and only if ???????? 'is also connected.

BILANGAN RAINBOW CONNECTION PADA GRAF-H Ayu Nanie Maretha; Muhammad Mahfuzh Shiddiq; Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(1), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Pada teori graf terdapat konsep pewarnaan yaitu pewarnaan sisi dan pewarnaan titik. Apabila ada dua titik yang terhubung oleh lintasan rainbow maka pewarnaan sisi graf disebut rainbow connected. Bilangan rainbow connection yang dinotasikan dengan rc(G) adalah bilangan terkecil dari warna yang dibutuhkan agar terbentuk graf bersifat rainbow connected. Pewarnaan titik pada graf disebut rainbow connected jika sebarang dua titik pada graf berwarna titik dihubungkan oleh lintasan rainbow vertex. Bilangan rainbow vertex connection yang dinotasikan dengan rvc(G) adalah bilangan terkecil dari warna yang dibutuhkan agar terbentuk graf bersifat rainbow vertex connected. Graf- merupakan graf yang berbentuk seperti huruf . Operasi korona merupakan cara untuk menghasilkan dua buah graf menjadi suatu graf baru. Tujuan dari penelitian ini adalah menentukan bilangan rainbow connection dan bilangan rainbow vertex connection pada graf-H. Hasil penelitian yang diperoleh yaitu bilangan rainbow connection pada graf-H yaitu 2n-1 , bilangan rainbow vertex connection pada graf-H yaitu 2n-4 dan bilangan rainbow vertex connection pada graf H korona mK_1 adalah 2n.

KETERKENDALIAN SISTEM LINIER DIFERENSIAL BIASA TIME-VARYING DAN SISTEM LINIER DIFERENSIAL PARSIAL DENGAN PENDEKATAN MODUL ATAS OPERATOR DIFERENSIAL Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 4, No 2 (2010): JURNAL EPSILON VOLUME 4 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Suppose,,,,] 1 2 3 [n D  K d d d d d d linear differential operators with coefficients in K, which meet  a K; he = adi + ia. D is a linear differential carrier ring with intermediate properties else: D does not contain a zero divide, is not commutative, and for every d d D i j, , i, j  1, , n and for every a, b  K apply i j i j i j ad (bd)  abd d  a ( b) d. Let M be a top module D formed from an ordinary differential linear system (OD) time-varying or partial differential linear (PD) systems under control. The relationship between systems OD or linear PD with module M over D is a linear OD or PD system if and only if M the top module D determined by the equation is a torque-free module. Therefore to indicate a system of OD or PD linear simply indicated module formed by the equation is torque-free, expressed in a formal test to indicate a module over D is torque free. and if it is associated with a plane linear differential operators are controlled linear PD control systems if and only if parametrizable.

RELASI FUZZY PADA GRUP FAKTOR FUZZY Ahmad Madani; Saman Abdurrahman; Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 14, No 1 (2020): JURNAL EPSILON VOLUME 14 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Fuzzy subsets on the non-empty set is a mapping of this set to the interval . The concept of fuzzy subgroups introduced from advanced concept of fuzzy set in group theory. In concept of fuzzy set there is the concept of relations is fuzzy relations. In this study examined that fuzzy relations related to the equivalence and congruence on a fuzzy group and fuzzy factor group. The results of this study was to show that a fuzzy relation if and if is a fuzzy congruence relations on fuzzy group and a fuzzy relation defined of is a fuzzy congruence relations on fuzzy factor group.

INVERS TERGENERALISASI MOORE PENROSE Mardiyana Mardiyana; Na'imah Hijriati; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(2), 2021
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

The generalized inverse is a concept for determining the inverse of a singular matrix and and matrix which has the characteristic of the inverse matrix. There are several types of generalized inverse, one of which is the Moore-Penrose inverse. The matrix is called Moore Penrose inverse of a matrix if it satisfies the four penrose equations and is denoted by . Furthermore, if the matrix satisfies only the first two equations of the Moore-Penrose inverse and , then is called the group inverse of and is denoted by . The purpose of this research was to determine the group inverse of a non-diagonalizable square matrix using Jordan’s canonical form and Moore Penrose’s inverse of a singular matrix, also a non-square matrix using the Singular Value Decomposition (SVD) method. The results of this study are the sufficient condition for a matrix to have a group inverse, i.e., a matrix has an index of 1 if and only if the product of two matrices forming is a full rank factorization and is invertible. Whereas for a singular matrix and a non-square , the Moore-Penrose inverse can be determined using Singular Value Decomposition (SVD). Keywords: generalized matrix inverse, Moore Penrose inverse, group inverse, Jordan canonical form, Singular Value Decomposition.

Co-Authors Achmad Riduansyah Adelia Niken Puspitasari Ahmad Madani Aisjah Juliani Noor Amalia, Zharfa Rizqi Andi Tri Wardana Andriani, Asfia Audinta Sakti Firmansyah Ayu Nanie Maretha Dewi Anggraini Dewi Sri Susanti Faisal Faisal Febriani, Arika Fiqriani Noor Geofani Setiawan Geofani Setiawan Gunawan, I Wayan Ari Gusti Muhammad Rosyadi Hasibuan, Lilis Harianti I Gede Adhitya Wisnu Wardhana Idris, Mochammad Indah Emilia Wijayanti Ismania Tanjung Sari Juwita Lasterina Lestia, Aprida Siska Lissa, Hermei Mardiyana Mardiyana Maulana, Fariz Mochammad Idris Muhammad Mahfuzh Shiddiq Muhammad Rifaldy Yanwar Nailah Nailah Nooriman, Raihan Nor Hidayati Noviliani Noviliani Pratama, Rendi Bahtiar Purnamayanti Purnamayanti Rahmi Hidayati Raihan Nooriman Raihan Nooriman Ridha Mahmudah Rohmalita Rohmalita Rosyadi, Gusti Muhammad Saman Abdurrahman Setiawan, Geofani Sheryn Amelia Puteri Sinar Ismaya Thresye Thresye Yulianti, Irma Sari Yuni Yulida

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