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"ABSTRAKAljabar Max-plus mempunyai karakteristik yang berbeda dengan aljabar klasik. Dalam tesis ini dikaji struktur Aljabar Max-plus dan perbedaan sistem persamaan linier dalam Aljabar Max-plus dan aljabar klasik.

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ABSTRACTMax-Plus algebra has characteristics that are different from clasisical algebra. In this thesis, algebraic structure of Max-plus algebra studied. Differences of linear equation systems in Max-plus algebra and classical algebra are explored."

"The set of real number with addition and multiplication operation is said as field with a notation. At set of is given two binary operations that is and, are defined as follow: for all, and. The structure is called max-plus algebra, which denote as. The main different between and that is there is no invers for all element except the zero elemen. Futhermore are introduced extended of with define and at. In set of are given balance relation, denote, and relation whereas is equivalence relation since its compatible for generate equivalence class and quosien set. Clearly, the elements of set of is equivalence classes and than for all equivalenve class are assosiated with scalar or signed scalar dan in. By using definision of, and balance relation in for design the system of. In this research are performed properties of and than are defined the symmetrized max-plus algebra."

"The purpose of this paper is to explain the algorithm solution for system equation which has non linier form in its parameter, especially in system equation of seemingly unrelated regression. For example, the economic model which is used in this paper is taken from disertation of Ekananda (2003) with its topic of the uncertainty of exchange rates volatility on manufacture commodity export in Indonesia. Particularly, this paper will discuss the model formation by inserting poissons probability function, which cause the non linier form. For the next application, this method can be used for all non linier form especially the non linier form on its parameter. This paper will discuss the utilization of trade standard equation which is developed become non linier system equation of trade by inserting the element of poisons probability, the dynamics of equation and the simultaneous equation."