PROGRAM TUJUAN FUZZY DENGAN MODEL PENJUMLAHAN TERBOBOTI

HIKMAH ISNANI, Dr. Indarsih

2018 | Tesis | S2 Matematika

Model penjumlahan terboboti berkaitan dengan pengambilan keputusan multi kriteria, dalam hal ini termasuk dalam Multi Objective Decision making-MODM. Model tersebut berdasarkan pada dua pendekatan yaitu pendekatan program tujuan dan pendekatan teknik program fuzzy. Perumusan model MODM sering dihadapkan pada ketidaktepatan (lack precision). Masalah tersebut menghadirkan solusi sub optimal. Model penjumlahan terboboti tidak menghadirkan basic feasible solution (bfs) ketika disrlesaikan secara simultan dengan metode simpleks goal programming. Hal ini terjadi karena program linear awal menjadi masalah tak layak bila dikonversikan kedalam model penjumlahan terboboti untuk kedua pendekatan tersebut. Algoritma simpleks goal programming digunakan untuk menyelesaikan model penjumlahan terboboti. Metode simpleks goal programming untuk pendekatan program tujuan mendekomposisikan fungsi objektif kedalam komponen-komponen penyusun fungsi objektif, dalam hal ini variabel deviasional. Kendala either-or ditambahkan pada model penjumlahan terboboti ketika program linear tidak dapat diselesaikan secara simultan dengan metode simpleks goal programming. Program linear sub persoalan ke-i dibentuk dengan mengambil nilai satu atau nol pada kendala eithef or.

The weighted additive model is known as Multi Objective Decision Making-MODM. The model is based on two approaches: goal programming approach and fuzzy programming technique approach. The formulation of MODM model is often confronted with in appropriateness (lackk precision). The problem presents a sub optimal solution. The weighted additive model doesn't present the basic feasible solution (bfs) when it solved simultaneously with the simplex goal programming method. This is because the original linear programming becomes infeasible problem when it is converted in to a weighted additive model for both approaches. The simplex goal programming algorithm is used to solve the weighted additive model. The simplex goal programming method for goal programming approach decomposes the objective fubction in to components of objective function compiler, in this case the deviational variable. The 'either-or' constraint is added to the wighted additive model when a linear program can not be completed simultaneously with the simplex goal programming method. The i th sub linear problem program is formed by taking the value of one or zero on the 'either or' constraint.

Kata Kunci : Model penjumlahan terboboti, program tujuan fuzzy, program fuzzy, kendala either or, bobot, variabel deviasional