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<![CDATA[HOMOMORFISMA DARI LEVEL SUBNEAR-RING FUZZY ]]>
<![CDATA[Saman Abdurrahman]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 8, No 2 (2014): JURNAL EPSILON VOLUME 8 NOMOR 2 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v8i2.106
<![CDATA[This paper introduces the concept of subnear-ring level in the fuzzy subnear-ring. Result of this study is the image and pre-image homomorphism of the near-ring of the inner subnear-ring level The fuzzy subnear-ring is the subnear-ring level in the fuzzy subnear-ring.]]>
<![CDATA[SYARAT PERLU DAN SYARAT CUKUP MATRIKS BERSIH PADA ????????????????(ℤ) ]]>
<![CDATA[Rohmalita Rohmalita]]>;
<![CDATA[Na'imah Hijriati]]>;
<![CDATA[Saman Abdurrahman]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 8, No 2 (2014): JURNAL EPSILON VOLUME 8 NOMOR 2 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v8i2.111
<![CDATA[This paper describes the condition of a net matrix at ????????2 (ℤ) and describes the terms and conditions of sufficient net matrix at ????????2 (ℤ). The result of this study is, ???????? is the 1-net matrix if and only if ???????????????????????? (????????) -???? ???????? (????????) = 0 or -2. Then ???????? is the 0-net matrix if and only if ???????? is the unit matrix, or satisfies one of the equations ???????????? -????????????????-???????? + ???????????????? = ± 1, ???????????? -????????????????-???????? + ???????????????? = ± 1, ????-????????????????????2 + ( ????????-????????) ???????????????? + (????) ???? 2+ (????????) ???????? + (???????????? -????????????????-???????? ± 1) ???? = 0. And the requirement of ???????? is sufficient and ???????? is a 0-net matrix ie if ???????? = ????????????????????00????∈????????2 (ℤ) is a 0-net matrix then ???????? is a 0-net matrix.]]>
<![CDATA[ANTI SUBGRUP FUZZY ]]>
<![CDATA[Ahmad Yasir]]>;
<![CDATA[Saman Abdurrahman]]>;
<![CDATA[Nurul Huda]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 10, No 2 (2016): JURNAL EPSILON VOLUME 10 NOMOR 2 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v10i2.37
<![CDATA[Subgrup yaitu himpunan bagian tidak kosong dari suatu grup ???????? dan merupakan grup terhadap operasi yang sama dengan grup ????????. Perpaduan antara konsep aljabar dengan konsep fuzzy disebut subgrup fuzzy. Pada tahun 1998 R. Biswas memperkenalkan konsep lower level subset dari subset fuzzy, anti subgrup fuzzy, dan lower level subgrup. Tujuan dari penelitian ini membuktikan subset fuzzy dari grup adalah subgrup fuzzy jika dan hanya jika komplemen dari subset fuzzy adalah anti subgrup fuzzy dan membuktikan jika subset fuzzy adalah anti subgrup fuzzy maka lower level subset juga anti subgrup fuzzy. Metode yang digunakan studi literatur. Hasil dari penelitian ini adalah jika diberikan ???????? grup, suatu subset fuzzy ???????? di ???????? disebut anti subgrup fuzzy maka berlaku ????????(????????????????)≤max {????????(????????),????????(???? )} dan ????????(????????−1)≤????????(???? ) untuk setiap ????????,???? ∈????????. Kemudian diberikan ???????? subgrup fuzzy di ???????? jika dan hanya jika komplemen dari subgrup fuzzy (μc) adalah anti subgrup fuzzy. Jika suatu subset fuzzy ???????? dari ???????? dan untuk ????????∈[0,1] maka lower level subset dari ???????? adalah himpunan ????????????????????={????????∈????????|????????(????????)≤????????}, kemudian jika diberikan μ anti subgrup fuzzy di ???????? maka suatu subgrup ???????????????????? , ????????∈[0,1] dan ????????≥????????(????????), disebut lower level subgrup dari ????????. Selanjutnya jika ???????? adalah anti subgrup fuzzy di ???????? maka ???????????????????????????? adalah anti subgrup fuzzy di ???????? dengan ????????∈[????????(????????),1].Kata Kunci: Lower level subset, Anti subgrup fuzzy, Lower Level Subgrup.]]>
<![CDATA[IDEAL DIFERENSIAL DAN HOMOMORFISMA DIFERENSIAL ]]>
<![CDATA[Na'imah Hijriati]]>;
<![CDATA[Saman Abdurrahman]]>;
<![CDATA[Thresye Thresye]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 6, No 2 (2012): JURNAL EPSILON VOLUME 6 NOMOR 2 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v6i2.84
<![CDATA[Ideal differential is the ideal of differential ring that satisfies if for each a I, and every , (a) I, whereas the differential homomorphism is a commutative homomorphism of rings against each derivation. This paper is presented the properties of differential ideal and differential homomorphism.]]>
<![CDATA[ANTI SUBGRUP α-FUZZY ]]>
<![CDATA[Fiqriani Noor]]>;
<![CDATA[Saman Abdurrahman]]>;
<![CDATA[Naimah Hijriati]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 14, No 1 (2020): JURNAL EPSILON VOLUME 14 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v14i1.2199
<![CDATA[The concept of fuzzy subgroups is a combination of the group structure with the fuzzy set, which was first introduced by Rosenfeld (1971). This concept became the basic concept in other the fuzzy algebra fields such as fuzzy normal subgroups, anti fuzzy subgroups and anti fuzzy normal subgroups. The development in the area of fuzzy algebra is characterized by the continual emergence of new concepts, one of which is the α-anti fuzzy subgroup concept. The idea of α-anti fuzzy subgroups is a combination between the α-anti fuzzy subset and anti fuzzy subgroups. The α-anti subset fuzzy which is an anti fuzzy subgroup is called as α-anti fuzzy subgroup. The purpose of this study is to prove that the α-anti fuzzy subset is an anti fuzzy subgroup, examine the relationship between α-anti fuzzy subgroups with anti fuzzy subgroups and α-fuzzy normal subgroups with anti fuzzy subgroups. The results of this study are, if A is an anti fuzzy subgroup (an anti fuzzy normal subgroup), then an α-anti subset fuzzy of A is an anti fuzzy subgroup (an anti fuzzy normal subgroup). However, this does not apply otherwise. Furthermore, this study also provides sufficient and necessary conditions for an α-anti fuzzy subset of any group to be an α-anti fuzzy subgroup and the formation of a group of factors that are built from an α-anti fuzzy normal subgroup.Keywords : Anti Fuzzy Subgroup, Anti Fuzzy Normal Subgroup, α-Anti Fuzzy Subgroup and α-Anti Fuzzy Normal Subgroup.]]>
<![CDATA[HOMOMORFISMA DAN ANTI-HOMOMORFISMA DARI LEVEL SUBGRUP DALAM SUBGRUP FUZZY ]]>
<![CDATA[Achmad Riduansyah]]>;
<![CDATA[Na'imah Hijriati]]>;
<![CDATA[Saman Abdurrahman]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 2 (2015): JURNAL EPSILON VOLUME 9 NOMOR 2 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v9i2.15
<![CDATA[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.]]>
<![CDATA[IDEAL FUZZY RING ]]>
<![CDATA[Nailah Nailah]]>;
<![CDATA[Saman Abdurrahman]]>;
<![CDATA[Na'imah Hijriati]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v9i1.5
<![CDATA[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???????????????? = ????????]]>
<![CDATA[IDEAL PRIMA FUZZY NEAR-RING ]]>
<![CDATA[Saman Abdurrahman]]>;
<![CDATA[Na'imah Hijriati]]>;
<![CDATA[Thresye Thresye]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 7, No 1 (2013): JURNAL EPSILON VOLUME 7 NOMOR 1 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v7i1.90
<![CDATA[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.]]>
<![CDATA[ANTI FUZZY SUBSEMIRING ]]>
<![CDATA[Saman Abdurrahman]]>;
<![CDATA[Cendikia Hira]]>;
<![CDATA[Alya Hanifah Arif]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 16(1), 2022 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v16i1.5443
<![CDATA[When the first operation’s inverse axiom is deleted from the ring, an algebraic structure, the semiring, is generated. Subsemiring is one of the subjects covered in semiring. The concepts of fuzzy subsemiring, anti subsemiring fuzzy semiring, and complement are introduced in this paper. In addition, the anti-subsemiring fuzzy semiring, a wedge, or a combination of two or more fuzzy anti-subsemiring associated with a non-empty subset of the semiring whose membership criteria are defined by the membership value of the zero elements will be discussed.]]>
<![CDATA[INTERIOR IDEAL FUZZY SEMIRING ]]>
<![CDATA[Saman Abdurrahman]]>
<![CDATA[ EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol. 15(2), 2021 ]]>
Publisher : <![CDATA[Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat ]]>
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DOI: 10.20527/epsilon.v15i2.4894
<![CDATA[Semiring is one of the ring extensions, which eliminates the inverse axiom in the first operation. One of the topics on the semiring is the ideal interior. This study introduces the concept of the ideal interior semiring and the ideal interior fuzzy semiring. Further, it examined the properties of the ideal fuzzy semiring interior and the nature of the existence of the ideal interior semiring if the ideal fuzzy interior is given.]]>
