This final projects discusses the solution of the neuteosophic travelling salesman problem in trapezoidal fuzzy using the method of branch-and-bound algorithm. The goal is to find the best obtained path of salesman routes. The discussion concludes that the branch-and-bound algorithm can be used as a method to solve the travelling salesman problem. Keywords: Fuzzy trapezoidal number, rankin…
This final project discusses full preliminary term reserve of endowment insurance for single insurance participant who are x years old by using the interest rate model of Cox-Ingersoll-Ross and Pareto distribution. The parameters in the model are estimated by using maximum likelihood method. The solution of this problem is obtained by determining the single premium, annual premium, and lif…
This nal project discusses the sums of reciprocal and reciprocal squared of Lucas number through several propositions in the form of inequalities. Several identities are used to prove the propositions. Some required identities are proven by mathematical induction, Binet's formula, and recurrence relations of Lucas numbers. Then, to get the results of the sums of reciprocal and reciprocal …
This thesis discusses the EOQ model by adding tolerance values, especially for items that are easily damaged. The tolerance value when ordering is placed is called α and when the goods are stored is called β given to minimize damage or depreciation. Perishable items in this thesis are fish, meat, fruit and vegetables. The assumption is given that the order tolerance value is smaller than …
This thesis discusses a development of BCH-algebra with addition of derivations concept in BCH-algebra. BCH-algebra is a nonempty set with binary operation and constant , and statisfying the certain axioms. A mapping of from to itself is said to be a derivation in BCH-algebra if is both -derivation and -derivation in BCH-algebra, where is BCH-algebra. In the research by adding an endomorph…
This research to produce a product in the form mathematical learning devices using based on discovery learning on valid and practical relation and function material. The development model used is a 4-D model, namely define, design, develop, and desseminate. The research instrument used is the instrument of validity and practicality. The instrument of validity is in the form of a validation asse…
This research is motivated by the 2013 Curriculum which requires students to be active in learning so that they are able to build their own knowledge and be able to solve contextual problems that facilitate mathematical problem solving abilities. The purpose of this study is to produce products in the form of learning tools, namely Syllabus, RPP, and Student Activity Sheets (LAS) for SPLTV mate…
B-algebra is a non-empty set X with a constant 0 and a binary operation ∗, satisfying the certain axioms. A special form of B-algebra is a BM -algebra. Their relationship are every BM -algebra is a B-algebra and every 0-commutative Balgebra is a BM -algebra. The concept of fq-derivation in B-algebra is discussed. In this thesis, the fq-derivation in BM -algebra and left fq-derivation in …
This research to produce a product in the form mathematical learning devices using Problem Based Learning model on the material of Constructing Flat Side Spaces to facilitate students Mathematics Problem Solvibg Ability. The development model used is the ADDIE model namely Analysis, Design, Development, and Evaluation. The research instrument used is validity instrument and practicality. The in…
Skripsi ini membahas solusi dari persamaan Diophantine eksponensial. Persamaan ini diselesaikan dengan menggunakan beberapa sifat persamaan Diophantine Eksponensial dan beberapa hasil dari pembagi primitif bilangan Lucas. Kata kunci: Persamaan Diophantine eksponensial, sifat persamaan Diophan- tine eksponensial, keterbagian, pembagi primitif bilangan Lucas
Abstract: This research aimed to improve learning process and mathematics learning outcomes students by applying of Cooperative Learning Type Student Teams Achievement Division (STAD). Subjects of this research are class VII.3 students at SMP Negeri 39 Pekanbaru of 2016/2017, total number of participant are 40 whose academic achievement are heterogen. The research implemented in which consisted…
This study aims to produce interactive learning media using powerpoint-geogebra valid 2-dimension geometrical material. This study adopted three of the five stages of ADDIE development research (Analyze, Design, Development, Implement, Evaluation), namely Analyze, Design, and Development. Product validity is assessed based on the results of the validation of material experts and media exper…
This study aims to produce mathematics learning tools using problem-based learning models to facilitate valid and practical mathematical problem solving abilities of students. The learning tools developed in the form of syllabus, lesson plan and student worksheets on three-variable linear equation system material for students in class X SMA/MA. This research is research and development with a 4…
Learning in the class must be well planned, one of which to create learning instrumen that refer to the curriculum implementation. This research aim to produces mathematics learning (Syllabus, RPP, and LAS) using the problem based learning model in the linear two-variable equation system sucject. This research is a research and development (R&D) using the 4-D model. The research instrument was …
This final discusses the solution of triangular fuzzy number transportation problem. Parameter of transportation costs, the amount of supply and demand are fuzzy numbers. The fuzzy zero suffix method is used to find the minimum solution to the triangular fuzzy transportation problem. The final result of the calculation of the fuzzy zero suffix method is to change the solution fuzzy number …
This nal project discusses the solution of transportation problem using the me- thod of Total Opportunity Cost Matrix-Minimal Total (TOCM-MT method). TOCM-MT method is used to determine the basic solution with the total cost of better mechanism and also to achieve similar values and approach to the opti- mal solution. TOCM-MT method obtains more minimal costs. An illustration as the sampl…
This final project discusses the dynamic effect of the greenhouse by modeling the shape of the earth like a rock. It is followed by discussing the effect of solar radiation on the model. Furthermore, the model is developed by adding an atmospheric layer to the first model obtained and analyzing the effect of solar radiation on this modified model. This final project is a review of part of a…
This final project discusses the predator-prey model with double predation. This model uses a system of nonlinear equation from the classic Lokta-Volterra model by adding one compartment, namely predator II. The solutions of the model are categorized into three categories which represent a three - plane coordinate system. This model has two equilibrium point, namely the origin point and po…
This final project discusses the diagonalization of a matrix triangular fuzzy numbers in interval form. Negative positive triangular fuzzy number with the concept on geometrical area can be used to determine eigen values and eigen vector of matrix triangular fuzzy numbers in interval form matrix and needed arithmatic operation that have been modified which refers to eigenvalues and eigenve…
This final project discusses the inventory model with shortage in triangular fuzzy numbers. The inventory model used is the EOQ model. The optimal solution of the model is achieved by using the Kuhn-Tucker conditions. Furthermore, the obtained Kuhn-Tucker conditions are formed into nonlinear programming so that the best decision is obtained in solving the EOQ problem. Thus the average valu…