• Proceedings of the Korea Technology Innovation Society Conference
• /
• 2002.05b
• /
• pp.181-198
• /
• 2002

This article describes a methodology for evaluating huge aerospace R&D investments using the real options pricing method. Option pricing has been proposed as a useful approach for modeling investment in R&D. Two important features of R&D investments are that an R&D project takes time to complete and that the outcome of R&D investments is highly uncertain. This makes the analysis of R&D investments difficult. Traditional tools for project evaluation, like IRR or the NPV, are inadequate for coping with the high uncertainty. Hence, In this article I propose a log-transformed binomal lattice method, and it will show that option pricing might be an adequate framework for evaluating such types of aerospace investments.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
• /
• 2007.11a
• /
• pp.77-78
• /
• 2007

In this paper, we suppose that the 1-dimensional photonic crystal using holography lithography. We used Ag doped amorphous AsGeSeS which belongs in the chalcogenide materials have sensitive photoluminescence property. The purpose of this experiment is the process to complete 3-D photonic crystal after making 2-D photonic crystal. The lattice formation was made an observation by irradiating He-Ne laser with the AsGeSeS film leaned obliquely. Then, by measuring formed diffraction beam, the diffraction lattice was calculated.

• Coupled systems mechanics
• /
• v.10 no.6
• /
• pp.521-544
• /
• 2021

In this work, we present the development of a 3D lattice-type model at microscale based upon the Voronoi-cell representation of material microstructure. This model can capture the coupling between mechanic and electric fields with non-linear constitutive behavior for both. More precisely, for electric part we consider the ferroelectric constitutive behavior with the possibility of domain switching polarization, which can be handled in the same fashion as deformation theory of plasticity. For mechanics part, we introduce the constitutive model of plasticity with the Armstrong-Frederick kinematic hardening. This model is used to simulate a complete coupling of the chosen electric and mechanics behavior with a multiscale approach implemented within the same computational architecture.

• Nuclear Engineering and Technology
• /
• v.18 no.3
• /
• pp.228-237
• /
• 1986

This paper provides a comparative study on methodologies for solutions of the inverse problems of certain basic fuzzy relational equations, with which fuzzy set is defined as mapping from sets into complete Brouwerian lattice. Three different algorithms developed so far are discussed and applied to fault diagnosis problem for the main coolant pump of nuclear power plants.

• Communications of the Korean Mathematical Society
• /
• v.19 no.1
• /
• pp.35-51
• /
• 2004

We introduce fuzzy closure systems and fuzzy closure operators as extensions of closure systems and closure operators. We study relationships between fuzzy closure systems and fuzzy closure spaces. In particular, two families F(S) and F(C) of fuzzy closure systems and fuzzy closure operators on X are complete lattice isomorphic.

• Communications of the Korean Mathematical Society
• /
• v.22 no.1
• /
• pp.1-7
• /
• 2007

Subtraction algebras with additional conditions, so called complicated subtraction algebras, are introduced, and several properties are investigated. In a complicated subtraction algebra, characterizations of ideals are provided, and showed that the set of all ideals in a complicated subtraction algebra is a complete lattice.

• Communications of the Korean Mathematical Society
• /
• v.29 no.1
• /
• pp.1-8
• /
• 2014

In this paper, we give congruences on an abundant semigroup with a quasi-ideal S-adequate transversal $S^{\circ}$ by the congruence pair abstractly which consists of congruences on the structure component parts R and ${\Lambda}$. We prove that the set of all congruences on this kind of semigroups is a complete lattice.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.9 no.4
• /
• pp.404-410
• /
• 1999

We will prove the existence of initial fuzzy closure structures. From this fact we can define subspaces and products of fuzzy closure spaces. Furthermore the family $\Delta$(X) of all fuzzy closure operators on X is a complete lattice. In particular an initial structure of fuzzy topological spaces can be obtained by the initial structure of fuzzy closure spaces induced by those. We suggest some examples of it.

• Journal for History of Mathematics
• /
• v.13 no.1
• /
• pp.125-136
• /
• 2000

The notion of MV-algebra was introduced by C.C. Chang in 1958 to provide an algebraic proof of the completeness of Lukasiewicz axioms for infinite valued logic. These algebras appear in the literature under different names: Bricks, Wajsberg algebra, CN-algebra, bounded commutative BCK-algebras, etc. The purpose of this paper is to give a topological lattice completion of semisimple MV-algebras. To this end, we characterize the complete atomic center MV-algebras and semisimple algebras as subalgebras of a cube. Then we define the $\delta$-completion of semisimple MV-algebra and construct the $\delta$-completion. We also study some important properties and extension properties of $\delta$-completion.

• Journal of applied mathematics & informatics
• /
• v.22 no.1_2
• /
• pp.549-555
• /
• 2006

Using a t-norm, the notion of T-fuzzy subalgebras of right K(G)-algebras is introduced, and fundamental properties are investigated. The fact that T-fuzzy subalgebras of a right K(G)-algebra form a complete lattice is proved.