• Title/Summary/Keyword: Soft closed set

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UNION-SOFT SETS WITH APPLICATIONS IN BCK/BCI-ALGEBRAS

  • Jun, Young Bae
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1937-1956
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    • 2013
  • The aim of this article is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of union-soft sets is introduced, and its application to BCK/BCI-algebras is considered. The notions of union-soft algebras, union-soft (commutative) ideals and closed union-soft ideals are introduced, and related properties and relations are investigated. Conditions for a union-soft ideal to be closed are provided. Conditions for a union-soft ideal to be a union-soft commutative ideal are also provided. Characterizations of (closed) union-soft ideals and union-soft commutative ideals are established. Extension property for a union-soft commutative ideal is established.

Two notes on "On soft Hausdorff spaces"

  • El-Shafei, M.E.;Abo-Elhamayel, M.;Al-shami, T.M.
    • Annals of Fuzzy Mathematics and Informatics
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    • v.16 no.3
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    • pp.333-336
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    • 2018
  • One of the well known results in general topology says that every compact subset of a Hausdorff space is closed. This result in soft topology is not true in general as demonstrated throughout this note. We begin this investigation by showing that [Theorem 3.34, p.p.23] which proposed by Varol and $Ayg{\ddot{u}}n$ [7] is invalid in general, by giving a counterexample. Then we derive under what condition this result can be generalized in soft topology. Finally, we evidence that [Example 3.22, p.p. 20] which introduced in [7] is false, and we make a correction for this example to satisfy a condition of soft Hausdorffness.

A Novel Self-Learning Filters for Automatic Modulation Classification Based on Deep Residual Shrinking Networks

  • Ming Li;Xiaolin Zhang;Rongchen Sun;Zengmao Chen;Chenghao Liu
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.17 no.6
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    • pp.1743-1758
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    • 2023
  • Automatic modulation classification is a critical algorithm for non-cooperative communication systems. This paper addresses the challenging problem of closed-set and open-set signal modulation classification in complex channels. We propose a novel approach that incorporates a self-learning filter and center-loss in Deep Residual Shrinking Networks (DRSN) for closed-set modulation classification, and the Opendistance method for open-set modulation classification. Our approach achieves better performance than existing methods in both closed-set and open-set recognition. In closed-set recognition, the self-learning filter and center-loss combination improves recognition performance, with a maximum accuracy of over 92.18%. In open-set recognition, the use of a self-learning filter and center-loss provide an effective feature vector for open-set recognition, and the Opendistance method outperforms SoftMax and OpenMax in F1 scores and mean average accuracy under high openness. Overall, our proposed approach demonstrates promising results for automatic modulation classification, providing better performance in non-cooperative communication systems.

APPLICATIONS OF SOFT g# SEMI CLOSED SETS IN SOFT TOPOLOGICAL SPACES

  • T. RAJENDRAKUMAR;M.S. SAGAYA ROSELIN
    • Journal of applied mathematics & informatics
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    • v.42 no.3
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    • pp.635-646
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    • 2024
  • In this research work, we introduce and investigate four innovative types of soft spaces, pushing the boundaries of traditional spatial concepts. These new types of soft spaces are named as soft Tb space, soft T#b space, soft T##b space and softαT#b space. Through rigorous analysis and experimentation, we uncover and propose distinct characteristics that define and differentiate these spaces. In this research work, we have established that every soft $T_{\frac{1}{2}}$ space is a soft αT#b space, every soft Tb space is a soft αT#b space, every soft T#b space is a soft αT#b space, every soft Tb space is a soft T#b space, every soft T#b space is a soft T##b space, every soft $T_{\frac{1}{2}}$ space is a soft #Tb space and every soft Tb space is a soft #Tb space.

Corrigendum to "On Soft Topological Space via Semi-open and Semi-closed Soft Sets, Kyungpook Mathematical Journal, 54(2014), 221-236"

  • Al-shami, Tareq Mohammed
    • Kyungpook Mathematical Journal
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    • v.58 no.3
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    • pp.583-588
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    • 2018
  • In this manuscript, we show that the equality relations of the two assertions (ix) and (x) of [Theorem 2.11, p.p.224] in [3] do not hold in general, by giving a concrete example. Also, we illustrate that Example 6.3, Example 6.7, Example 6.11, Example 6.15 and Example 6.20 do not satisfy a soft semi $T_0$-space, a soft semi $T_1$-space, a soft semi $T_2$-space, a soft semi $T_3$-space and a soft semi $T_4$-space, respectively. Moreover, we point out that the three results obtained in [3] which related to soft subspaces are false, by presenting two examples. Finally, we construct an example to illuminate that Theorem 6.18 and Remark 6.21 made in [3] are not valid in general.

Soft-Decision Decoding of the [23,12] Golay Code Using Covering Polynomials (커버링 다항식을 이용한 골레이 부호의 연판정 복호)

  • 성원진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.3A
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    • pp.180-187
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    • 2002
  • The decoding method using covering polynomials is an extended form of error-trapping decoding, and is a simple and effective means to implement decoders for cyclic codes. Covering polynomials can be used for soft-decision decoding as well as for decoding beyond the bounded distance of the code. The implementation complexity is proportional to the number of covering polynomials employed. In this paper, the soft-decision decoding procedure using covering polynomials is described, and the procedure is applied to the [23,12] Golay code. A new set of covering polynomials is derived for the procedure, which is presented as a generalized closed-form solution. The set can be efficiently utilized for decoding a class of cyclic codes including the Golay code. Computer simulation of the described procedure is performed to show the trade-offs between the decoder performance and complexity. It is demonstrated that soft-decision decoding of the Golay code using the derived set of covering polynomials has less than 0.2dB deviation from the optimal performance of maximum-likelihood decoding, with a reduced complexity when compared to the Chase Algorithm 2 combined with hard-decision decoding that has nearly identical performance.

A Study on Feature Division using Sliced Information of STL Format (STL 포맷의 단면정보를 이용한 형상분할에 관한 연구)

  • Ban, Gab-Su
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.2
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    • pp.141-146
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    • 2002
  • Stereolithography is the best known as rapid prototyping system. It uses the STL format data which is generated from CAD system. In this study, One of the main function of this developed CAM system deals with shape modification which divide a shape into two parts or more. The cross section of a STL part by a z-level is composed with nested or single polygonal closed loop. In order to make RP product, closed loops must fill with triangular facets from SSET and recover sliced triangular facets which is located normal direction to the cross sectional plane. The system is development by using Visuall C++ compiler in the environment of pentium PC. Operating system is Windows NT workstaion from Micro-Soft.

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A Study on the Preference of Knitwears of Dermatitis Patients (피부질환자의 니트웨어 선호도에 관한 연구)

  • Kong, Jin-Hee;Kwon, Young-Ah
    • Fashion & Textile Research Journal
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    • v.10 no.6
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    • pp.1023-1035
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    • 2008
  • This study conducted a survey to find out dermatitis patients' preferred garment performance and their sentiment in spring/summer knitwears. SPSS 12.0 program was used for factor analysis, frequency analysis, T-test, ANOVA, and Duncan test. The result was as follows; First, in garments, patients required 'health hygiene', 'practicality in use care', 'skin contact' and 'easy movement'. Especially, 'skin contact' is an important property to be considered in patients' clothes. Second, in garment sensitivity, patients importantly considered 'modesty', 'feminine', 'boldness', 'decency', 'easy movement', 'youth', and 'simplicity'. Third, patients preferred simple and modest plain knitwear in light color with thin and soft fabric such as plain knit. And especially, dot pattern in knitwears should be avoided. Fourth, the preferred style of patients was that 'appropriately fit with suitable ease.' They also preferred 'front closed,' ; 'boat neckline' and 'V neckline'; 'raglan sleeve' and 'set-in sleeve'. For hem trim, they preferred 'rib'. Male preferred simple and plain style with round collar of 'tubular trim' and 'rib trim', while female preferred sophisticated and characteristic style with setin sleeve.

A Study on the Preference and Wearing Sensation of Spring/Summer Knitwears of Atopic Dermatitis (아토피 피부염환자의 봄.여름용 니트웨어 선호도 및 착용감 연구)

  • Kong, Jin-Hee;Kwon, Young-Ah
    • Journal of the Korean Society of Costume
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    • v.57 no.5 s.114
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    • pp.58-71
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    • 2007
  • This study conducted a survey to find out atopic dermatitis patients' required performance and preference in design factors to develop spring/summer(S/S) knitwears preferred by atopic patients. On the platform of achieved information from statistical analysis, S/S knitwear samples for atopic patients were designed and constructed with cotton/Seacell(R) blended yarn, And subjective wearing sensation were evaluated comparing the samples and the commercial products made with cotton/chitosan blended yarn, trying to help producing more comfortable S/S knitwears for atopic patients. SPSS 12.0 program was used for frequency analysis, Chi-square analysis, ANOVA, and Duncan test. The result was as follows; For comfort of S/S knitwears, atopic patients most considered skin care property. Atopic patients preferred simple and basic knitwear in light color with thin and soft fabric such as plain knit. The preferred style was that 'appropriately fit with suitable ease'. They also preferred 'closed front'; 'boat neckline' and 'V neckline'; 'raglan sleeve' and 'set-in sleeve'. For hem trim, they preferred 'rib' structure. Male preferred simple and plain style with 'round collar' and 'tubular or rib trim", while female preferred sophisticated and characteristic style with 'set-in sleeve' with 'rib trim'. Under the circumstances with insufficient functional knitwears developed, this study tried to develop comfort S/S knitwears for atopic dermatitis patients and the developed knitwears showed as good as or better performance in wearing feeling, fitting, and appearance than the previously developed functional goods.