Abstract
The aim of this research is to apply Fuzzy Analytic Hierarchy Process method to determine the dominant sectors of economy Bali Province. This research used survey data from respondents who understand about economy of Bali Province and Gross Regional Domestic Product (GRDP). The research variables consist of criteria and sub-criteria. The criteria consist of primary sector, secondary, and tertiary, while the sub-criteria consist of 9 sectors of the GRDP. Data processing is done by calculating the weighted average and arrange them into pairwise comparison matrices. Furthermore, the consistency ratio is checked. If consistency ratio less than 0.100 (), the elements of matrices is changed into triangular fuzzy scale and processed with synthetic extent to get the priority. Based on the result of research, the economy of Bali are dominated by tertiary sector in sector group, agriculture and forestry in sub-primary group, manufacturing industry in sub-secondary group, and trade, hotel and restaurant in sub-tertiary group.
Highlights
The aim of this research is to apply Fuzzy Analytic Hierarchy Process method to determine the dominant sectors of economy Bali Province
), the elements of matrices is changed into triangular fuzzy scale and processed with synthetic extent to get the priority
Based on the result of research, the economy of Bali are dominated by tertiary sector in sector group, agriculture and forestry in sub-primary group, manufacturing industry in subsecondary group, and trade, hotel and restaurant in sub-tertiary group
Summary
Analytic Hierarchy Process (AHP) adalah suatu metode pendukung keputusan yang dikembangkan untuk menyelesaikan permasalahan dengan memecah solusi permasalahan, mengelompokkan dan kemudian menyusunnya ke dalam suatu struktur hirarki. Untuk memperoleh kriteria yang diprioritaskan, metode ini menggunakan perbandingan kriteria berpasangan dengan skala pengukuran yang telah ditentukan. Penerapan metode fuzzy AHP digunakan untuk mengetahui sektor-sektor yang berkontribusi dominan terhadap perekonomian Provinsi Bali. Saaty & Kearns [5] menjelaskan bahwa terdapat tiga prinsip dasar dalam metode AHP, yaitu dekomposisi, perbandingan penilaian, dan sintesis prioritas. Bobot penilaian yang diperoleh kemudian disusun ke dalam matriks perbandingan berpasangan dan dilakukan proses sintesis untuk memperoleh nilai masing-masing kriteria. Nilai masingmasing kriteria didapat dengan menghitung vektor prioritas (vektor eigen) dari matriks perbandingan berpasangan. Batas ketidakkonsistenan (inconsistency) ditentukan dengan menggunakan Rasio Konsistensi ( ), yaitu perbandingan indeks konsistensi ( ) dengan nilai random index ( ) yang diperlihatkan pada Tabel 2. Vektor bobot yang masih dalam bentuk bilangan fuzzy selanjutnya dinormalisasi dengan persamaan
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