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Suryoto ., Suryoto
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Mathematics

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ENDOMORFISMA L0 DARI BCH-ALJABAR Citra, Restia Sarasworo; ., Suryoto
MATEMATIKA Vol 16, No 1 (2013): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

BCH-algebras is an algebraic structure which built on a commutative group. In BCH-algebra there is a mapping from this structure to itself which called  a BCH-endomorphism. In BCH-algebra context, we denote L as a set of all left mapping and it contains L0 which the only non-identity BCH-endomorphism in L with some properties : the left map L0 is a center of BCH-endomorphism, L0 both be a periodic mapping dan an epimorphism on BCH-algebra. Such as a group with the fundamental group homomorphism theorem, in a BCH-algebra we have a fundamental BCH-algebra homomorphism theorem.
PROGRAM FRAKSIONAL LINIER DENGAN KOEFISIEN INTERVAL Sari, Annisa Ratna; ., Sunarsih; ., Suryoto
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Linear fractional programming is a special case of nonlinear programming which the objective function is a ratio of two linear function with linear constraints. Linear fractional programming is used to optimize the efficiency of the activities  of the other activities. In some case, coefficients of the objective function is uncertain. Therefore, It can be selected the interval numbers as coefficients. First step in solving linear fractional programming with interval coefficients in the objective function is transforming it into linear programming using the Charnes - Cooper method. The result of the transformation is linear programming with interval coefficients (LPIC). To solve the LPIC is used method proposed by K Ramadan. In this method, LPIC converted into two linear programming that obtains the best optimum solution and the worst optimum solution, respectively. This optimum solution is the optimum solution for linear fractional programming problem with interval coefficients in the objective function.
SIFAT-SIFAT LANJUT NEUTROSOFIK MODUL ., Suryoto; Irawanto, Bambang; Puspita, Nikken Prima
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Neutrosophic module over the ring with unity is an algebraic structure formed by a neutrosophic abelian group by providing actions scalar multiplication on the structure. The elementary properties of neutrosophic module have been looked at, that are intersection dan summand among neutrosophic submodules are neutrosophic submodule again, but it not true for union of neutrosophic submodules. In this article discussed the advanced properties of the neutrosophic module and the algebraic aspects respect to this structure, including neutrosophic quotient module and neutrosophic homomorphism module and can be shown that most of the properties of the classical module still true to the neutrosophic structure, especially with regard to the properties of neutrosophic homomorphism module and the fundamental theorem of neutrosophic homomorphism module.
NEUTROSOFIK MODUL DAN SIFAT-SIFATNYA ., Suryoto; Irawanto, Bambang; Puspita, Nikken Prima
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Given any ring with unity and a commutative neutrosophic group under the additional operation, then from the both structures can be constructed a neutroshopic module by define the scalar multiplication between elements of the ring and elements of the commutative group. Further by generalized the neutrosophic module can be obtained a substructure of the neutrosophic module called a neutrosophic submodule. In this paper, from the concept of neutrosophic module and the ring with unity we study a generalization of classical module, that is a neutrosophic module and its properties. By utilizing the neutroshopic element as an indeterminate and an idempotent element under multiplication can be shown that most of the basic properties of clasiccal module generally still true on this neutrosophic struture.
KELAS-KELAS BCI-ALJABAR DAN HUBUNGANNYA SATU DENGAN YANG LAIN ., Winarsih; ., Suryoto
MATEMATIKA Vol 17, No 2 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Several classes of BCI-algebras as the class of weakly implicative BCI-algebras, BCK-algebras, medial BCI-algebras, branchwise implicative BCI-algebras and branchwise commutative BCI-algebras have relation one another. A branchwise implicative BCI-algebras is a class of BCI-algebras which to fulfill condition of branchwise implicative. By using characters of the class of BCK-algebras and element of the class of medial BCI-algebras, we investigate relations between branchwise implicative BCI-algebras exist with others classes of the class of BCI-algebras as the class of weakly implicative BCI-algebras and branchwise commutative BCI-algebras.
Co-Authors Annisa Ratna Sari Bambang Irawanto Nikken Prima Puspita Restia Sarasworo Citra, Restia Sarasworo Sunarsih . Winarsih ., Winarsih