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Pemodelan Bioekonomi Perikanan Multi-Spesies
Buku ini disusun untuk memperkaya referensi Berbahasa Indonesia mengenai
pemodelan bioekonomi, khususnya pemodelan bioekonomi perikanan multi-spesies. Peraian
Indonesia yang berada di wilayah tropis dikenal memiliki kekayaan beragam spesies
sumberdaya ikan. Indonesia juga dikenal sebagai negara kepulauan terbesar di dunia dengan
kekayaan ekosistem terumbu karang dan dikenal sebagai negara mega biodiversitas karena
sangat tingginya kekayaan biodiversitas di perairan Indonesia. Oleh karena itu, pemodelan
bioekonomi dengan asumsi spesies tunggal (single-species), termasuk Model Gordon-Schaefer
dan Model Fox, relatif tidak cocok jika diterapkan pada kasus perairan Indonesia. Pemodelan
bioekonomi multi-species menjadi salah satu jawaban akan kelemahan pemodelan bioekonomi
single-species. Tim penyusun buku ini mengucap syukur kepada Allah yang maha kasih karena
atas anugerah dan rahmat Allah, maka buku ini dapat terselesaikan. Tim penyusun juga
berterima kasih kepada Direktorat Riset dan Pengabdian Masyakarat-Kementerian Riset dan
Teknologi yang telah mendanai penelitian kami terkait pemodelan bioekonomi multi-spesies
dengan kasus perikanan tangkap Jawa Tengah. Harapan kami, buku ini bermanfaat bagi
mahasiswa, peneliti, akademisi maupun para pemangku kepentingan perikanan tangkap
lainny
MULTIMOORA METHOD BASED ON HESITANT FUZZY SETS FOR SOLVING MULTI-CRITERIA GROUP DECISION MAKING PROBLEMS
MULTIMOORA method consists of three parts, namely the Ratio System, Reference Point, and Full Multiplication Form. This method can be used in
solving Multi-criteria Group Decision Making (MCGDM) problems. In
decision making, often decision-makers cannot formulate their evaluation on
alternatif relationships and criteria. Decision-makers can use Hesitant Fuzzy
Sets as a solution to the problem where HFS can accommodate the uncertainty
between several different values. This final project discusses the development
of the MULTIMOORA method based on HFS by defining a new score function
and distance measure for HFS based on The Power Average operator. A
simulated case study on the selection of Green Suppliers found that MVG Food
marketing company Sdn Bhd is the best choice.
Keywords : MULTIMOORA method, Hesitant Fuzzy Sets, Power
Average Operator, MCGD
STABILITY ANALYSIS OF DYNAMIC MODEL OF THE SPREAD CORONA VIRUS WITH THE CROWD IMPACT
The disease caused by SARS-CoV-2 has became pandemic that must be
considered in order to control its spread. This thesis discusses about implementation
of the Covid-19 virus spread model with the impact of crowd. Covid-19 virus can
transmitted between humans through mouth or nose when infected individuals
sneezes, coughs, or talks. So that, contact between individuals in population cause
the spread of Covid-19 infection. Dynamic model of Covid-19 virus infection in
this thesis consist of five variables: Susceptible (S), Traced (T), Quarantine (Q),
Infected (I), and Recovery (R). Also this model consist of nonlinear differential
system. The results of the analysis obtained are two equilibrium points, called
disease-free equilibrium point and endemic equilibrium point. Analysis of stability
at the equilibrium points are determined by basic reproduction number (R0) where
is the value of basic reproduction number in this case is R0>1. It means this
dynamic model is asymtotically stable in endemic equilibrium point. Numerical
simulation is provided to explain the behavior of the system and to understand the
impact of the crowd on the spread of Covid-19 virus in a population.
Keywords : Covid-19, Crowd Impact, Dynamic Model, Local and Global Stabilit
Fuzzy Time Series Markov Chain Forecasting Using Average Based Partition Interval on Seasonal Patterned Data
Fuzzy time series Markov chain is a forecasting method by combining concepts fuzzy
and Markov chains for time series data. Forecasting with this method uses interval
partitioning on the universe of speech to form a set fuzzy. Interval partitioning can
affect forecasting accuracy so that the universe set is partitioned using an average
based which is an interval partitioning method based on the average approach. Fuzzy
time series Markov chain with interval partition average based can be used for
forecasting seasonal patterned data. By looking at and taking into account the period
seasonal formed, it can affect the accuracy of forecasting. The solution of this method
is obtained by fuzzifying historical data into sets fuzzy formed based on interval
partitioning, determining relations fuzzy based on the period seasonal formed on ACF
and PACF plots, forming relation groups fuzzy based on the same current state. Then
calculate the forecast value based on the transition matrix, calculate the adjustment
value so that the final forecasting result is obtained. From the calculation of the
forecasting method fuzzy time series Markov chain with interval partitions average
based on patterned data on case study Sydney’s average maximum temperature in
2011- 2020, it seasonal gives very good results based on the AFER and MSE value
categories.
Keywords: Forecasting, Fuzzy time series, Markov chain, Average based, Seasonal,
ACF, PACF
TEOREMA SYLOW PADA STRUKTUR ALJABAR GRUP
Teorema Lagrange adalah salah satu teorema penting dalam teori grup yang
menyatakan bahwa orde dari sembarang subgrup dari suatu grup membagi orde dari
grup tersebut. Converse (kebalikan) dari Teorema Lagrange menyatakan bahwa
suatu grup tidak harus mempunyai subgrup yang berorde sembarang bilangan jika
bilangan tersebut membagi orde dari grup. Converse (kebalikan) dari Teorema
Lagrange tidak dapat menjamin keberadaan suatu subgrup di dalam grup. Teorema
yang dapat menjamin keberadaan subgrup tersebut adalah Teorema Sylow. Tugas
Akhir ini menjelaskan tentang Teorema Sylow yang menyatakan jika terdapat
perpangkatan bilangan prima yang membagi orde grup, maka grup tersebut
dipastikan mempunyai subgrup berode perpangkatan bilangan prima. Pada
pembahasan mengenai Teorema Sylow dalam tugas akhir ini digunakan konsep dari
aksi grup, yaitu orbit, stabilizer, fix, dan normalizer
OPERATOR LINEAR TAK TERBATAS PADA RUANG HILBERT
Dalam skripsi ini dibahas definisi dan karakteristik operator linear tak terbatas
pada ruang Hilbert. Pendefinisian dan pembahasan karakteristik didasari
pembahasan mengenai pemetaan liniear kontinu. Contoh-contoh yang diberikan
berdasarkan pada pembahasan ruang
, -. Lebih lanjut dibahas tentang
resolvent dan spektrum operator linear tak terbatas pada ruang Hilbert.
Kata kunci Operator linear tak terbatas, Resolvent, Spektrum, Ruang Hilbert