• Korean Journal of Mathematics
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• v.28 no.4
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• pp.775-789
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• 2020

In this paper the concept of e-fuzzy filters is introduced in a Stone Almost Distributive Lattice. Several properties are derived on e-fuzzy filters with the help of maximal fuzzy filters. It is proved that the set of all e-fuzzy filters forms a complete distributive lattice.

• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.445-460
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• 2022

In this paper, we studied on 𝛽-fuzzy filters of Stone almost distributive lattices. An isomorphism between the lattice of 𝛽-fuzzy filters of a Stone ADL A onto the lattice of fuzzy ideals of the set of all boosters of A is established. The fact that any 𝛽-fuzzy filter of A is an e-fuzzy filter of A is proved. We discuss on some properties of prime 𝛽-fuzzy filters and some topological concepts on the collection of prime 𝛽-fuzzy filters of a Stone ADL. Further we show that the collection 𝓣 = {X^𝛽(λ) : λ is a fuzzy ideal of A} is a topology on 𝓕Spec_𝛽(A) where X^𝛽(λ) = {𝜇 ∈ 𝓕Spec_𝛽(A) : λ ⊈ 𝜇}.

• Journal of applied mathematics & informatics
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• v.37 no.5_6
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• pp.383-397
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• 2019

In this paper, we introduce ${\delta}$-fuzzy ideals in a pseudo complemented distributive lattice in terms of fuzzy filters. It is proved that the set of all ${\delta}$-fuzzy ideals forms a complete distributive lattice. The set of equivalent conditions are given for the class of all ${\delta}$-fuzzy ideals to be a sub-lattice of the fuzzy ideals of L. Moreover, ${\delta}$-fuzzy ideals are characterized in terms of fuzzy congruences.

• Journal of applied mathematics & informatics
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• v.33 no.3_4
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• pp.317-325
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• 2015

Proved that the two topoloies(spectral topology and D−topology) coincide on SpecR, MaxR and MinspecR iff R is complemented, normal and stone ADL respectively.

• The Pure and Applied Mathematics
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• v.21 no.2
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• pp.113-120
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• 2014

In this paper, we first show that for any space X, there is a ${\sigma}$-complete Boolean subalgebra of $\mathcal{R}$(X) and that the subspace {${\alpha}{\mid}{\alpha}$ is a fixed ${\sigma}Z(X)^{\sharp}$-ultrafilter} of the Stone-space $S(Z({\Lambda}_X)^{\sharp})$ is the minimal basically disconnected cover of X. Using this, we will show that for any countably locally weakly Lindel$\ddot{o}$f space X, the set {$M{\mid}M$ is a ${\sigma}$-complete Boolean subalgebra of $\mathcal{R}$(X) containing $Z(X)^{\sharp}$ and $s_M^{-1}(X)$ is basically disconnected}, when partially ordered by inclusion, becomes a complete lattice.

• Journal of the Korean Society of Clothing and Textiles
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• v.47 no.6
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• pp.1177-1192
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• 2023

This study aims to expand the scope of use for relics by applying the patterns and characteristics of embroidered fabric pieces, such as gold foil, excavated from the Mireuksa Temple Site in Iksan for fashion products. The artifact was a ra decorated with flower and vine patterns, embroidery using gold and red thread, and the unique stitching of Baekje. The pattern was reconstructed, as the embroidery was not well-preserved. This study used two types of gold-foil techniques: laser-cut and stone-stamp gold foil. Considering practicality, the gloss, toughness, custom production possibility, and design implementation were emphasized. The form of the laser-cut gold foil could be transformed; however, a recognition problem with the machine increased the thickness of the stitching. It was used for half-finished goods and commercial casual fashion. The stone-stamp gold foil was finely implemented, but the design was difficult to change. It was used for half-finished silk fabric for making hanbok po and lattice-patterned silk skirts. Applying the developed gold foil to suitable clothing can further enhance the effect.

• Journal of the Korean Crystal Growth and Crystal Technology
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• v.15 no.5
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• pp.182-187
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• 2005

The FT-IR absorption spectrum by the lattice vibrations of ruby and garnet obtained from FT-IR shows quite different characteristics. By the UV-VIS spectroscopy it was found that the ruby has two transmission bands in red and blue region, while garnet has only one transmission band in red region. The color filter to distinguish ruby from garnet was developed and named HWANG JI HO filter. Through the HWANG JI HO filter, ruby was shown in blue color and garnet was shown in dark red color because of the only the blue region transmittance of the filter. Other red stones, such as spinel, tourmaline were shown in dark red color like as garnet. The ruby could be recognized easily from the red stone.