• Title/Summary/Keyword: Soft filters

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Relations between Regular Uni-soft Filters and Uni-soft MV - filters in Residuated Lattices

  • Muhiuddin, Ghulam;Park, Chul Hwan;Jun, Young Bae
    • Kyungpook Mathematical Journal
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    • v.57 no.1
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    • pp.85-97
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    • 2017
  • The notions of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are introduced, and related properties are investigated. Characterizations of regular uni-soft filters, uni-soft MV -filters and Boolean uni-soft filters are discussed.Relations between regular uni-soft filters and uni-soft MV -filters are considered. It is shown that the notion of a uni-soft MV -filter coincides with the notion of a regular uni-soft filter in BL-algebras.

INT-SOFT MIGHTY FILTERS IN BE-ALGEBRAS

  • KIM, YOUNG HEE;PARK,
    • Journal of applied mathematics & informatics
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    • v.34 no.5_6
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    • pp.527-536
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    • 2016
  • In this paper, we introduce the notions about int-soft mighty filters, int-soft n-fold mighty filters, and int-soft n-fold positive implicative filters of BE-algebras. We investigate their properties and provide conditions which have connecting relationship among int-soft filters, int-soft mighty filters, and int-soft positive implicative filters. Also, characterizations of int-soft n-fold mighty filters and int-soft n-fold positive implicative filters are provided in BE-algebras.

Filterness of Soft Sets

  • Park, Jin-Han;Park, Yong-Beom;Kwun, Young-Chel
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.6
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    • pp.781-785
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    • 2011
  • The notions of soft filters, ultra soft filters and bases of a soft filter are introduced and their basic properties are investigated. The adherence and convergence of soft filters in soft topological spaces with related results is also discussed.

INT-SOFT FILTERS IN LATTICE IMPLICATION ALGEBRAS

  • Jun, Young Bae;Xu, Yang;Zhang, Xiaohong
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1483-1495
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    • 2016
  • The notion of int-soft (implicative) filters in lattice implication algebras is introduced, and related properties are investigated. Characterizations of int-soft (implicative) filters are discussed. Conditions for an int-soft filter to be an int-soft implicative filter are provided. Extension property for int-soft implicative filters is established.

FILTERS OF RESIDUATED LATTICES BASED ON SOFT SET THEORY

  • JUN, YOUNG BAE;LEE, KYOUNG JA;PARK, CHUL HWAN;ROH, EUN HWAN
    • Communications of the Korean Mathematical Society
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    • v.30 no.3
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    • pp.155-168
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    • 2015
  • Strong uni-soft filters and divisible uni-soft filters in residuated lattices are introduced, and several properties are investigated. Characterizations of a strong and divisible uni-soft filter are discussed. Conditions for a uni-soft filter to be divisible are established. Relations between a divisible uni-soft filter and a strong uni-soft filter are considered.

INT-SOFT POSITIVE IMPLICATIVE FILTERS IN BE-ALGEBRAS

  • PARK, JUNG HEE;KIM, YOUNG HEE
    • Journal of applied mathematics & informatics
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    • v.33 no.3_4
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    • pp.459-467
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    • 2015
  • The notion of int-soft implicative filters of a BE-algebra is introduced, and related properties are investigated. The problem of clas- sifying int-soft positive implicative by their γ-inclusive filter is solved. We provide conditions for a soft set to be an int-soft filter. We make a new int-soft implicative filter from old one.

Double-framed Soft Filters in CI-algebras

  • Al-Roqi, Abdullah M.
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.143-153
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    • 2014
  • The notion of double-framed soft filters of a CI-algebra is introduced, and related properties are investigated. Further characterization of a double-framed soft filter is considered, and conditions for a double-framed soft set to be a double-framed soft filter are provided. Finally a new double-framed soft filter from old one is established.

Hesitant fuzzy soft sets over UP-algebras

  • Mosrijai, Phakawat;Iampan, Aiyared
    • Annals of Fuzzy Mathematics and Informatics
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    • v.16 no.3
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    • pp.317-331
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    • 2018
  • This paper aims to extend the notion of hesitant fuzzy sets on UP-algebras to hesitant fuzzy soft sets over UP-algebras by merging the notions of hesitant fuzzy sets and soft sets. Further, we discuss the notions of hesitant fuzzy soft strongly UP-ideals, hesitant fuzzy soft UP-ideals, hesitant fuzzy soft UP-filters, and hesitant fuzzy soft UP-subalgebras of UP-algebras, and provide some properties.

RF Integrated Electromagnetic-Noise Filters Incorporated with Nano-granular Co41Fe38AI13O8 Soft Magnetic Thin Films on Coplanar Transmission Line

  • Sohn, Jae-Cheon;Yamaguchi Masahiro;Lim, Sang-Ho;Han, Suk-Hee
    • Journal of Magnetics
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    • v.10 no.4
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    • pp.163-170
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    • 2005
  • The RF integrated noise filters are fabricated by photolithography. The stack for the electromagnetic noise filters consists of the nano-granular ($Co_{41}Fe_{38}AI_{13}O_8$) soft magnetic film / $SiO_2$ / Cu transmission line / seed layer (Cu/Ti) / $SiO_2$-substrate. A good signal-attenuation feature along with a low signal-reflection feature is observed in the present filters. Especially in the noise filter incorporated with a $Co_{41}Fe_{38}AI_{13}O_8$ magnetic film with lateral dimensions of $2000{\mu}m$ wide, 15 mm long and $1{\mu}m$ thick, the maximum magnitude of signal attenuation reaches -55 dB, and the magnitude of signal reflection is below -10 dB in the overall frequency range. And this level of signal attenuation is much larger than that of a noise filter incorporated with a Fe magnetic film.

Reduction of Electron Contamination in Photon Beam by electron Filter in 6MV Linear Accelerator (6MV 선형가속기에서 Al/Cu에 관한 여과판 사용시 전자오염 감소에 관한 연구)

  • Lee, Cheol-Su
    • The Journal of Korean Society for Radiation Therapy
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    • v.8 no.1
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    • pp.41-54
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    • 1996
  • The secondary electrons developed by interaction between primary beam and a tray mounted for blocks in Megavoltage irradiation result in excess soft radiation dose to the surface layer. To reduce this electron contamination, electron filters have been used to be attached under a tray. Various filters with Cu and Al plates in six different thickness and Cu/Al combined plates in 3 different thickness were tested to measure the reduction rate of secondary electron contamination to the surface layer. The measurement to find optimal filter was performed on 6MV linear accelerator in $10 cm{\times}10 cm$ field size and fixed 78.5cm source to measurement points distance from surface to maximum build up point in 2mm intervals. The result was analyzed as the ratio of measured doses with using filters, to standard doses of measured open beam. The result of this study was fellowing : 1. The contaminated low energy radiation were mainly produced by blocking tray. 2. The surface absorbed dose was slowly increased by increasing irradiation field size but rapidly increased at field size above $15cm{\times}15cm$. 3. Al plate upto 2.5mm thickness used as a filter was found to be inadequate due to the failure of reduction of the surface absorbed dose below doses of the under surface upto the maximal build up. Cu 0.5mm plate and Cu 0.28mm/A1 1.5mm compound plate were found to be optimal filters. 4. By using these 2 filters, the absorbed dose to the surface were effectively reduced $5.5\%$ in field size $4cm{\times}4cm,\;11.3\%$ in field size $10cm{\times}10cm,\;22.3\%$ in field size $25cm{\times}25cm$. 5. In field size $10cm{\times}10cm$, the absorbed dose to the surface of irradiation was reduced by setting TSD 20cm at least,. but effective and enough dose reduction could be achieved by setting TSD 30cm as 2 optimal filters used. 6. More surface dose absorbed at TSD less than 7.4cm with a tray and filters together indicated that soft radiation was also developed by filters. 7. The variation of PDD by the different size of irradiation field was minimal as 2 optimal filters used. There was also not different in variation of PDD according to using any of two different filters. 8. PDD was not effected either by various TSD or by using the different filter among two.

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