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"This book constitutes the refereed proceedings of the 7th International Conference on Rough Sets and Knowledge Technology, RSKT 2012, held in Chengdu, China during August 2012, as one of the co-located conferences of the 2012 Joint Rough Set Symposium, JRS 2012. The 63 revised papers (including 42 regular and 21 short papers) were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on rough sets and its generalizations, rough sets in data and knowledge processing, knowledge technology, advances in granular computing (AGC 2012 workshop), decision-theoretic rough set model and applications (special session), intelligent decision making and granular computing (special session), rough set foundations (special session)."

"Volume XV offers a number of research streams that have grown out of the seminal work by Zdzislaw Pawlak. The 4 contributions included in this volume presents a rough set approach in machine learning, the introduction of multi-valued near set theory, the advent of a complete system that supports a rough-near set approach to digital image analysis, and an exhaustive study of the mathematics of vagueness."

"This study differs from previous studies by applying multivariate statistical analysis and multi-criterion decision-making methods to the improvement of service quality. We use the rough set theory (RST) with a flow graph approach to determine customer attitudes regarding service quality, which can assist managers in developing strategies to improve service quality and thus satisfy the needs of customers. A set of rules is derived from a large sample of airline customers, and its predictive ability is evaluated. The flow graph and the cause-and-effect relationship of the decision rules are heavily exploited in service quality characteristics. As compared with the results of other data-mining analyses, our results are encouraging. This study demonstrates that the combination of the RST model and flow graphs assists in identifying the needs of customers, determining their characteristics, and facilitating the development of an improvement strategy."

"Discrete Convex Analysis is a novel paradigm for discrete optimization that combines the ideas in continuous optimization (convex analysis) and combinatorial optimization (matroid/submodular function theory) to establish a unified theoretical framework for nonlinear discrete optimization. The study of this theory is expanding with the development of efficient algorithms and applications to a number of diverse disciplines like matrix theory, operations research, and economics. This self-contained book is designed to provide a novel insight into optimization on discrete structures and should reveal unexpected links among different disciplines. It is the first and only English-language monograph on the theory and applications of discrete convex analysis."

"This volume contains the peer-reviewed proceedings of the International Conference on Modelling and Simulation (MS-17), held in Kolkata, India, 4th-5th November 2017, organized by the Association for the Advancement of Modelling and Simulation Techniques in Enterprises (AMSE, France) in association with the Institution of Engineering Technology (IET, UK), Kolkata Network. The contributions contained here showcase some recent advances in modelling and simulation across various aspects of science and technology. This book brings together articles describing applications of modelling and simulation techniques in fields as diverse as physics, mathematics, electrical engineering, industrial electronics, control, automation, power systems, energy and robotics. It includes a special section on mechanical, fuzzy, optical and opto-electronic control of oscillations."

"Tugas akhir ini merupakan lanjutan dari penelitian sebelumnya (Sanabila, 2008) dalam pengenalan sudut wajah dengan konsep yang sama, yaitu data acuan awal memiliki interval tertentu, dibuat data acuan baru menggunakan interpolasi, lalu data uji dihitung jaraknya terhadap semua data acuan, data acuan dengan jarak terdekat merupakan hasil tebakan. Perbedaan dalam penelitian ini adalah penggunaan data rata-rata dan data fuzzy sebagai data acuan, perbedaan dalam PCA yang dilakukan, serta penggunaan control point placement dalam interpolasi Bezier kuadratik. Skema eksperimen dibagi menjadi dua, menggunakan set data yang sama dengan penelitian sebelum ini dan menggunakan set data yang lebih kecil intervalnya. Selain itu, penelitian ini juga mencakup pengenaan distorsi. Kesimpulan dari peneltian ini adalah penggunaan data rata-rata lebih baik daripada data masing-masing foto yang harus dipisahkan berdasarkan kelas wajah terlebih dahulu, penggunaan PCA memberi hasil yang baik, algoritma dengan data fuzzy belum memberi hasil sebaik data rata-rata, pengenaan distorsi kurang mempengaruhi hasil pengenalan algoritma untuk eksperimen yang memakai data rata-rata, dan pemakaian control point placement menghasilkan tingkat pengenalan yang lebih baik untuk eksperimen dengan data rata-rata.

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This final project is a continuity of previous research about angle estimation with the same main concept: with reference data in some intervals, new reference data with smaller intervals was made with the use of interpolation, and distances between testing data and all reference data was calculated, the reference data with the closest distance was the algorithm?s estimation (Sanabila, 2008). Differences made were the use of average data (crisp data) and fuzzy data for each angle as reference data, differences in PCA algorithm, and the use of control point placement in quadratic bezier interpolation.

Experiment scenarios were divided into two main schemes based on the intervals of the data set, the first one was an experiment scheme with the same data set intervals with previous research and another one was experiment scheme with smaller intervals. Data manipulation with noise addition have also been done in some experiment schemes.

Some of the Conclusions were: use of average data was more efficient than one data for each picture, the use of PCA gave better result than experiments without PCA, experiments with average data gave better result than with fuzzy data, noise addition to data did not effect the recognition rate of the algorithm for experiments with average data (crisp), control point placement gave better result in experiments with average data."

"This volume contains the peer-reviewed proceedings of the International Conference on Modelling and Simulation (MS-17), held in Kolkata, India, 4th-5th November 2017, organized by the Association for the Advancement of Modelling and Simulation Techniques in Enterprises (AMSE, France) in association with the Institution of Engineering Technology (IET, UK), Kolkata Network. The contributions contained here showcase some recent advances in modelling and simulation across various aspects of science and technology. This book brings together articles describing applications of modelling and simulation techniques in fields as diverse as physics, mathematics, electrical engineering, industrial electronics, control, automation, power systems, energy and robotics. It includes a special section on mechanical, fuzzy, optical and opto-electronic control of oscillations.It provides a snapshot of the state of the art in modelling and simulation methods and their applications, and will be of interest to researchers and engineering professionals from industry, academia and research organizations."

"Diberikan suatu lapangan yang tertutup secara aljabar k dan bilangan bulat positif n, ruang affine berdimensi-n atas k didefinisikan sebagai himpunan An=((a1,?,an):a1,?,an e k) . Suatu kurva aljabar tak-tereduksi pada bidang affine A2 didefinisikan oleh f(x,y)=0 dimana f adalah polinomial tak-tereduksi yang tidak konstan. Ada kurva-kurva aljabar tak-tereduksi yang dapat diparameterisasi menjadi fungsi-fungsi rasional, dan parameterisasi ini merupakan bentuk yang lebih sederhana dari pemetaan rasional antara dua kurva aljabar tak-tereduksi. Apabila pemetaan rasional tersebut mempunyai pemetaan rasional invers, pemetaan ini menjadi suatu relasi khusus yang disebut birational equivalence dan kedua kurva tersebut dikatakan birational. Pemetaan dan relasi ini juga dapat didefinisikan pada subhimpunan tutup tak-tereduksi dari An yang merupakan bentuk umum dari kurva aljabar tak-tereduksi. Dalam skripsi ini akan dipelajari syarat cukup dan syarat perlu untuk dua kurva aljabar tak-tereduksi, atau secara umum dua himpunan tutup tak-tereduksi, birational dengan membuktikan bahwa untuk himpunan-himpunan tutup tak-tereduksi XcAn dan YcAm, X dan Y birational jika dan hanya jika lapangan fungsi rasional dari keduanya, yaitu k(X) dan k(Y), isomorfik atas k.

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Given an algebraically closed field k and a positive integer n, we define the n-dimensional affine space over k to be the set An= ((a1,?,an):a1,?,ane k) . An irreducible algebraic curve on the affine plane A2 is defined by f(x,y) = 0 where f is a nonconstant irreducible polynomial. Some of these curves can be parameterized as rational functions, and this parameterization is a simpler form of a rational map between two irreducible algebraic curves. If this map has an inverse rational map, it becomes a special relation called birational equivalence and we say that the two curves are birational. This map and relation can also be defined on irreducible closed subsets of An, the generalized form of irreducible algebraic curves. This skripsi studies the sufficient and necessary condition for the two irreducible algebraic curves, or in general two irreducible closed sets, to be birational by exhibiting the proof that for irreducible closed sets XcAn and YcAm, X and Y are birational if and only if their field of rational functions, k(x) and k(y), are isomorphic over k. "

"his book provides a solution to “rare event” problems without using the classical theory of reliability and theory of probability. This solution is based on the methodology of risk assessment as “measure of danger” (in keeping with the ICS RAS) and an expert approach to determining systems’ safety indications using Fuzzy Sets methods. Further, the book puts forward a new concept: “Reliability, Risks, and Safety” (RRS). The book’s main goal is to generalize present results and underscore the need to develop an alternative approach to safety level assessment and risk management for technical (aviation) systems in terms of Fuzzy Sets objects, in addition to traditional probabilistic safety analysis (PSA). The concept it proposes incorporates ICAO recommendations regarding proactive system control and the system’s responses to various internal and external disturbances. "