• Bulletin of the Korean Mathematical Society
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• v.43 no.2
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• pp.227-233
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• 2006

A condition for a lattice filter to be a filter is given. Using the prime filter theorem which is discussed in [2], topological aspects on filters are discussed.

• Korean Journal of Mathematics
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• v.17 no.1
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• pp.77-81
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• 2009

We introduce the notions of a left(right) ${\Gamma}$-filter in a po-${\Gamma}$-semigroups and give a characterization of a left(right) ${\Gamma}$-filter of a po-${\Gamma}$-semigroups in term of right(left) prime ${\Gamma}$-ideals.

• Honam Mathematical Journal
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• v.36 no.4
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• pp.813-830
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• 2014

The notions of a (Boolean, prime, ultra, good) hesitant fuzzy filter and a hesitant fuzzy MV -filter of an MTL-algebras are introduced, and their relations are investigated. Characterizations of a (Boolean, ultra) hesitant fuzzy filter are discussed. Conditions for a hesitant fuzzy set to be a hesitant fuzzy filter, and for a hesitant fuzzy filter to be a Boolean hesitant fuzzy filter are provided.

• Korean Journal of Mathematics
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• v.28 no.3
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• pp.509-524
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• 2020

The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.

• Korean Journal of Mathematics
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• v.8 no.1
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• pp.43-45
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• 2000

In this paper, we give the characterization of a left (right) filter of $po$-semigroups.

• 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}.

• Korean Journal of Mathematics
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• v.27 no.4
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• pp.1159-1180
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• 2019

In this article, we present the notion of e-fuzzy filters in an MS-Algebra and characterize in terms of equivalent conditions. The concept of D-fuzzy filters is studied and the set of equivalent conditions under which every e-fuzzy filter is an D-fuzzy filter are observed. Moreover we study some properties of the space of all prime e-fuzzy filters of an MS-algebra.

• The Bulletin of The Korean Astronomical Society
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• v.45 no.1
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• pp.67.3-68
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• 2020

A prime focus telescope, e.g., Schmidt telescope, has advantages especially for a wide field of view survey in astronomy. In this optical configuration, the camera is placed in front of the primary mirror. Since the installation of a typical filter wheel to the prime focus telescope causes serious obscuration of the incoming light, a customized filter device is required for high sensitivity images. In this poster, we present a new filter exchange mechanism, which can host four filters moving along quadrant directions. We plan to install this on the Celestron 36 cm Rowe-Ackermann Schmidt Astrograph (RASA 36) located at El Sause Observatory in Chile.

• Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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• 2000.11a
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• pp.115-121
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• 2000

The contaminant seperation performance of fitters has been widely investigated for many years. However, most of the proposed filter assessment techniques have proven disappointing for practical use. Although the Multipass (Beta) Filtration test method (ISO 4572) provides valuable information in assessing fi ters, it has a limitation on evaluating the increasing family of low-flow and high Beta filters. The limitation stems from two main sources: the over simplified theoretical model and the inherently complicated procedure in analysis of data. Hence a new advanced filtration theory, the Beta Prime developed on a draw-down test basis is applied to predict field operating characteristics of a filter for tractor hydraulic systems in this study.

• Korean Journal of Mathematics
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• v.11 no.2
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• pp.147-153
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• 2003

We investigate some properties on right(resp. left) duo $po$-semigroups.