• 제목/요약/키워드: Stone lattice

검색결과 7건 처리시간 0.02초

e-FUZZY FILTERS OF STONE ALMOST DISTRIBUTIVE LATTICES

  • Wondifraw, Yohannes Gedamu;Alemayehu, Teferi Getachew
    • Korean Journal of Mathematics
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    • 제28권4호
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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.

𝛽-FUZZY FILTERS OF STONE ALMOST DISTRIBUTIVE LATTICES

  • ALEMAYEHU, TEFERI GETACHEW;GUBENA, YESHIWAS MEBRAT
    • Journal of applied mathematics & informatics
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    • 제40권3_4호
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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 = {X𝛽(λ) : λ is a fuzzy ideal of A} is a topology on 𝓕Spec𝛽(A) where X𝛽(λ) = {𝜇 ∈ 𝓕Spec𝛽(A) : λ ⊈ 𝜇}.

𝛿;-FUZZY IDEALS IN PSEUDO-COMPLEMENTED DISTRIBUTIVE LATTICES

  • ALABA, BERHANU ASSAYE;NORAHUN, WONDWOSEN ZEMENE
    • Journal of applied mathematics & informatics
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    • 제37권5_6호
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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.

FILTER SPACES AND BASICALLY DISCONNECTED COVERS

  • Jeon, Young Ju;Kim, ChangIl
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제21권2호
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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.

익산 미륵사지 출토 백제 초화문 자수 문양을 활용한 금박 개발 (The Development of Gold Foil Using Floral Patterns of Embroidery of Baekje Excavated at Mireuksa Temple Site in Iksan)

  • 최정
    • 한국의류학회지
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    • 제47권6호
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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.

광학적 방법에 의한 루비와 가넷의 감별법에 관한 연구 (A study on the identification of ruby and garnet by optical method)

  • 황지호;최종건
    • 한국결정성장학회지
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    • 제15권5호
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    • pp.182-187
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    • 2005
  • 본 연구에서는 루비와 가넷을 감별하는데 첨단기기분석인 FT-IR, UV-VIS spectroscopy를 이용하였다. FT-IR을 이용한 분석결과 루비와 가넷의 격자진동에 의한 흡수 스펙트럼은 아주 다른 특성을 보여주었다. UV-VIS spectroscopy을 이용한 분석결과 루비는 적색과 청색영역에서 두개의 투과가 나타났고 이와 다르게 가넷은 오직 적색영역에서만 투과가 있다는 것을 알 수 있었다 이러한 결과를 토대로 루비와 가넷을 감별할 수 있는 컬러필터를 개발하였고 이를 HJH(Hwang Ji Ho) Filter라고 명명하였다. HJH Filter를 통해 봤을 때, 루비는 청색으로 보여지고 가넷은 진한 적색으로 보여졌다 이는 HJH Filter의 청색영역 투과도 때문이다. 스피넬, 투어멀린과 같은 또 다른 적색 보석들은 가릿과 같이 진한 적색으로 보여졌다. 이는 루비와 적색보석들을 감별하는데 유용한 결과가 있음을 알았다.