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Jurnal Matematika
Published by Universitas Diponegoro
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Articles 8 Documents
Search results for , issue "Vol 4, No 4 (2015): (OKTOBER2015)" : 8 Documents clear
METODE PENEGASAN BILANGAN TRAPEZOIDAL FUZZY PADA PROGRAM LINIER FUZZY TIDAK PENUH Muhammad ismail husein
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

ABSTRACT. Fuzzy linear programming is one of linier programming form which there is fuzzy number form on objective variable, objective variable coefficient, constraint coefficient or right hand constraint. Fuzzy linear programming solved by parameters changing which is in fuzzy number form into crisp number form. Crisp method used to averment  the trapezoidal fuzzy number and each method  is not always has same result. Fuzzy linear programming problem with objective function coefficient, constraint coefficient, or right hand as a fuzzy number is the form of not fully fuzzy linear programming. This paper will discuss three crisp method, they are Ranking Function, Yager Ranking Function, and Robust Ranking Function to solve fuzzy linear programming problem. The final solution can use simplex method, and then final result compared to determine crisp method which is optimal.
HUBUNGAN ANTARA KONGRUENSI GRUP PADA SUATU SEMIGRUP DENGAN HIMPUNAN BAGIAN DARI SEMIGRUP TERSEBUT YANG MEMENUHI SIFAT DENSE, FULL, TERTUTUP, E-KONJUGAT DAN KUAT-KONJUGAT Muhammad Alfian Toni
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRAK. A congruence on a semigrup which classes form a group and the group hereinafter referred congruence. Semigrup subset of properties that meet dense, full, closed, E- conjugate and strong-conjugate. Given semigrup and  nonempty subsets of is said to be full if , H is said to be dense if for every  are  such that   is said to be closed if  with ,  is said to be strong-conjugate if  with  then for each ,  is said to be E-conjugate if  with  then  for each. In this thesis studied the relationship between the group on semigrup congruence with the semigrup subsets that meet the nature of dense, full, closed, E-conjugate and strong-conjugate. For each congruence group form a subset semigrup that meets the dense, full, closed, E-conjugate and strong-conjugate. And vice versa for each subset semigrup that meets the dense, full, closed, E-conjugate and strong-conjugate formed a group congruence.Kata Kunci : congruence group, dense, full, closed, E-conjugate and strong-conjugate
JARAK BANACH MAZUR ANTARA DUA RUANG BANACH BERDIMENSI DUA Vira Yustia
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

  ABSTRAK. Jarak Banach Mazur adalah jarak antara dua ruang Bernorma yang isomorpis. Dalam membuktikan Jarak Banach Mazur antara dua ruang Banach ,operator memiliki peranan yang penting. Konsep yang diperoleh dari Jarak Banach Mazur antara lain untuk ruang Banach  dan  diperoleh  jika  dan jika  diperoleh. Untuk ruang Banach  dan  jika  diperoleh   Selain itu karena  merupakan konjugat dari  untuk ruang Banach  dan  maka diperoleh  jika  atau . Kata Kunci: Ruang Banach, Jarak Banach Mazur, dan Operator. 
PERINGKAT JARAK METRIK PADA BILANGAN KABUR SEGITIGA UNTUK MENYELESAIKAN MASALAH PROGRAM PECAHAN LINIER KABUR PERTIWI PUTRI ANDINI
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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  ABSTRAK : Fuzzy linear fractional programming problem (FLFPP) is general form of Fuzzy linier programming (FLPP) problem. FLFPP can be solved by not changing the fuzzy data become crisp on the objective function and the main state. Numbers are used in fuzzy linear programming is a triangular fuzzy numbers. In this thesis learned methods that have been developed by Al. Nachammai dan P. Thangaraj for solving FLFPP problem in triangular fuzzy number using metric distance ranking. From case studies are given, obtained metric distance ranking method on triangular fuzzy number is the appropriate method to resolve FLFPP problem because this method can show the maximum results.Keywords: Triangular Fuzzy Number, Metric Distance Ranking, Fuzzy Linear Programming, Fuzzy Linear Fractional Programming 
KUOSIEN SEMIRING DAN SEMIRING YANG DIBENTUK DARI KELAS-KELAS KONGRUENSI SUATU SEMIRING Atika Ayuningtyas
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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 ABSTRAK. An ideal of a semiring can be formed as set of all coset of ideal semiring. The set of all coset of ideal semiring can be formed a new semiring called quotient semiring. The congruence classes on a semiring can be formed as a new semiring called semiring congruence classes.Keywords : semiring, ideal, congruence, quotient semiring, semiring classes congruence. 
BILANGAN KROMATIK-b DAN KONTINU-b PADA GRAF VERTEX SWITCHING DAN GRAF SPLIT Rahmatika Fajar Safitri
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 . Diberikan graf  dengan himpunan titik  dan himpunan sisi . Pewarnaan-b dengan  warna adalah pewarnaan pada titik-titik dari suatu graf sedemikian sehingga untuk setiap kelas warna terdapat sebuah titik yang mempunyai ketetanggaan dengan  kelas warna lainya. Jika titik  dengan suatu kelas warna c mempunyai tetangga dengan semua kelas warna lainya maka titik  disebut color dominating vertex dan dinotasikan dengan . Bilangan bulat terbesar  sedemikian sehingga  memenuhi pewarnaan-b disebut dengan bilangan . Sebuah graf  disebut kontinu-b jika pewarnaan-b ada untuk setiap bilangan bulat  yang nilainya antara bilangan kromatik dan bilangan kromatik-b. Dalam tugas akhir ini akan dikaji mengenai bilangan kromatik-b dan kontinu-b pada graf vertex switching, graf split, dan graf split sisi .Kata Kunci :        .
KUOSIEN SEMIRING DAN SEMIRING YANG DIBENTUK DARI KELAS-KELAS KONGRUENSI SUATU SEMIRING Atika Ayuningtyas
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRAK. An ideal of a semiring can be formed as set of all coset of ideal semiring. The set of all coset of ideal semiring can be formed a new semiring called quotient semiring. The congruence classes on a semiring can be formed as a new semiring called semiring congruence classes.Keywords : semiring, ideal, congruence, quotient semiring, semiring classes congruence. 
MODEL PERSEDIAAN ECONOMIC ORDER QUANTITY DENGAN PENUNDAAN WAKTU PEMBAYARAN DAN MEMPERTIMBANGKAN FAKTOR KERUSAKAN BARANG (STUDI KASUS PADA UD. ALAM SEJAHTERA SEMARANG) Inge Tara Natika
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRAK. Economic Order Quantity inventory model is a model that is widely used as a decision making tool for inventory control. EOQ model is used to find the optimal order quantity to minimize total inventory costs. This undergraduated thesis is about  Economic Order Quantity inventory model for deteriorating items that affecting to quality and product sale value, the constant demand rate without shortages in inventory, with permissible delay in payments. There are three cases in this inventory model. First, when permissible delay of payments period is less than the replenishment cycle period. Second, when permissible delay of payments period is greater than the replenishment cycle period. And third, when permissible delay of payments period equal to the replenishment cycle period.  Kata Kunci: Inventory, Economic Order Quantity model, delay in payments, deteriorating items.

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