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"This unique book provides an introduction to a subject whose use has steadily increased over the past 40 years. An update of Ramon Moore previous books on the topic, it provides broad coverage of the subject as well as the historical perspective of one of the originators of modern interval analysis. The authors provide a hands-on introduction to INTLAB, a high-quality, comprehensive MATLAB toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB. Readers will find the following features of interest: elementary motivating examples and notes that help maximize the reader chance of success in applying the techniques; exercises and hands-on MATLAB-based examples woven into the text; INTLAB-based examples and explanations integrated into the text, along with a comprehensive set of exercises and solutions, and an appendix with INTLAB commands; an extensive bibliography and appendices that will continue to be valuable resources once the reader is familiar with the subject; and a Web page with links to computational tools and other resources of interest."

"This book treats an important set of techniques that provide a mathematically rigorous and complete error analysis for computational results. It shows that interval analysis provides a powerful set of tools with direct applicability to important problems in scientific computing."

"Perubahan sosial dan ekonomi di Indonesia menunjukkan adanya transformasi dalam fertility behavior termasuk kecepatan melahirkan pertama. Penelitian ini bertujuan untuk mengetahui peran lingkungan dimana perempuan tumbuh dan besar growing up pada interval kelahiran pertama dalam tiga kelompok kohor. Kategori kelompok kelahiran perempuan adalah kelompok kohor 1961-1970, kelompok kohor 1971-1980, dan kelompok kohor 1981-2005. Penelitian ini menggunakan Survei Populasi Antar Sensus 2015 SUPAS 2015 melalui pendekatan analisis survival dengan model Cox proportional hazard regression.Hasil penelitian ini menunjukkan bahwa perempuan dalam kelompok yang lebih muda memiliki kelahiran pertama lebih cepat daripada kohor yang lebih tua setelah waktu perkawinan, terutama untuk kohor 1981-2005 sebagai kohor paling muda. Melalui umur kawin pertama sebagai intermediate variable, variabel sosial ekonomi dalam fertility behavior secara signifikan terkait dengan kecepatan kelahiran pertama pada tiga kelompok kohor. Dengan demikian, lingkungan dimana perempuan tumbuh dan besar growing up memainkan peran penting pada kecepatan kelahiran pertama melalui usia umur kawin pertama.

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Social and economic changes in Indonesia show that there is a transformation in fertility behavior including the pace of having first birth. This study aims to know the role of environment wherein women growing up during their first birth interval for three cohort groups. The categories of women rsquo s birth cohort are 1961 1970 cohort group, 1971 1980 cohort group, and 1981 2005 cohort group. This study uses the 2015 Intercensal Population Survey SUPAS 2015 and the survival analysis approach with Cox proportional hazard regression model.The results show that women in the younger cohorts have first birth earlier than the older cohorts after marriage, especially for the recent cohort. Through age at first marriage as the intermediate variable, socioeconomic variables in fertility behavior are significantly associated with the pace of having first birth in three cohort groups. Thus, the environment wherein women growing up plays a major role at the pace of having first birth through age at first marriage."

"Jika diberikan dua graf G1 dan G2, maka bilangan Ramsey R=R(G1,G2) adalah bilangan bulat positif terkecil R sedemikian sehingga untuk setiap graf G dengan R simpul akan memenuhi kondisi berikut ini: G memuat graf G1 sebagai subgraf atau komplemen dari G memuat G2 sebagai subgraf. Pada skripsi ini akan dikaji tentang bilangan Ramsey ( , ? ) n m R P K untuk n dan m tertentu, dimana Pn adalah graf lintasan dengan n simpul dan ? m K adalah graf kipas yang dibentuk dari gabungan K1 dan Pm ditambah rimnya, yaitu busur-busur yang menghubungkan K1 dengan setiap simpul pada Pm."

""The objective of this book is for readers to learn where approximation methods come from, why they work, why they sometimes don?t work, and when to use which of the many techniques that are available, and to do all this in an environment that emphasizes readability and usefulness to the numerical methods novice. Each chapter and each section begins with the basic, elementary material and gradually builds up to more advanced topics. The text begins with a review of the important calculus results, and why and where these ideas play an important role throughout the book. Some of the concepts required for the study of computational mathematics are introduced, and simple approximations using Taylor?s Theorem are treated in some depth. The exposition is intended to be lively and "student friendly". Exercises run the gamut from simple hand computations that might be characterized are "starter exercises", to challenging derivations and minor proofs, to programming exercises. Eleven new exercises have been added throughout including: Basins of Attraction; Roots of Polynomials I; Radial Basis Function Interpolation; Tension Splines; An Introduction to Galerkin/Finite Element Ideas for BVPs; Broyden?s Method; Roots of Polynomials, II; Spectral/collocation methods for PDEs; Algebraic Multigrid Method; Trigonometric interpolation/Fourier analysis; and Monte Carlo methods. Various sections have been revised to reflect recent trends and updates in the field"-- Provided by publisher."

"In practical decision-making, the independence of criteria is usually violated so its uncreasonable to aggregate the alternative values using additive measures. In order to reflect the interactions between combinations in a set, the generalized shapley function is used to measure the importance of them, which is an expectation utility function with respect to a fuzzy measure. It is worth pointing out that the generalized shapley function is also a fuzzy measure. Then, the generalized shapley interval-valued intuitionistic fuzzy geometric choquet operator is defined, which is also an interval-valued intuitionistic fuzzy value. Further, some important properties are investigated. Moreover, an approach to interval-valued intuitionistic fuzzy multi-criteria decision-making is developed. In the end, two practical examples are selected to show the presented procedure"

"The aim of this article was to develop an interval type-2 fuzzy permutation method for addressing multiple criteria decision-making problems under incomplete preference information. Furthermore, this article present an experimental analysis to examine the implementation efficiency and the applicable scope of the proposed method. Interval type-2 fuzzy sets are more capable than ordinary fuzzy sets of handling imprecision and imperfect information in real-world applications. This article used interval type-2 fuzzy sets to capture imprecise or uncertain decision information in fields that require multiple criteria decision analysis. Based on pairwise criterion comparisons of the alternatives using a signed distance-based approach, this article presents a concordance-discordance analysis and propose an integrated programing model in the interval type-2 fuzzy permutation method. Finally, computational experiments with enormous amounts of simulation data are designed to examine the influence of numbers of alternatives and criteria on the implementation efficiency and the applicable scope of the proposed method. "