• 제목/요약/키워드: soft k-product

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SOFT INTERSECTION AND SOFT UNION k-IDEALS OF HEMIRINGS AND THEIR APPLICATIONS

  • Anjum, Rukhshanda;Lodhi, Aqib Raza Khan;Munir, Mohammad;Kausar, Nasreen
    • Korean Journal of Mathematics
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    • 제30권2호
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    • pp.263-281
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    • 2022
  • The main aim of this paper is to discuss two different types of soft hemirings, soft intersection and soft union. We discuss applications and results related to soft intersection hemirings or soft intersection k-ideals and soft union hemirings or soft union k-ideals. The deep concept of k-closure, intersection and union of soft sets, ∧-product and ∨-product among soft sets, upper 𝛽-inclusion and lower 𝛽-inclusion of soft sets is discussed here. Many applications related to soft intersection-union sum and soft intersection-union product of sets are investigated in this paper. We characterize k-hemiregular hemirings by the soft intersection k-ideals and soft union k-ideals.

SOFT SOMEWHERE DENSE SETS ON SOFT TOPOLOGICAL SPACES

  • Al-shami, Tareq M.
    • 대한수학회논문집
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    • 제33권4호
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    • pp.1341-1356
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    • 2018
  • The author devotes this paper to defining a new class of generalized soft open sets, namely soft somewhere dense sets and to investigating its main features. With the help of examples, we illustrate the relationships between soft somewhere dense sets and some celebrated generalizations of soft open sets, and point out that the soft somewhere dense subsets of a soft hyperconnected space coincide with the non-null soft ${\beta}$-open sets. Also, we give an equivalent condition for the soft csdense sets and verify that every soft set is soft somewhere dense or soft cs-dense. We show that a collection of all soft somewhere dense subsets of a strongly soft hyperconnected space forms a soft filter on the universe set, and this collection with a non-null soft set form a soft topology on the universe set as well. Moreover, we derive some important results such as the property of being a soft somewhere dense set is a soft topological property and the finite product of soft somewhere dense sets is soft somewhere dense. In the end, we point out that the number of soft somewhere dense subsets of infinite soft topological space is infinite, and we present some results which associate soft somewhere dense sets with some soft topological concepts such as soft compact spaces and soft subspaces.

LATTICE ORDERED FUZZY SOFT GROUPS

  • Mahmood, Tahir;Shah, Naveed Ahmad
    • 호남수학학술지
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    • 제40권3호
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    • pp.457-486
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    • 2018
  • In several fields the soft set theory has a very vast range uses and applications. A soft group is a proper family of subgroups and a fuzzy soft group is a proper family of fuzzy subgroups. Here in this paper the concept of lattice ordered fuzzy soft groups is introduced. Also its some properties are studied and discussed. In addition, the defintion of lattice order fuzzy soft right (left) cosets and lattice order soft product of fuzzy soft subgroups and some related results are discussed to clear these ideas.

COMPUTER SIMULATION OF MAGNETIC PROPERRTIES OF SPRING MAGNETS

  • Kitajima, N.;Inoue, H.;Kanai, Y.;Fukunaga, H.
    • 한국자기학회지
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    • 제5권5호
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    • pp.404-407
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    • 1995
  • Magnetic properties of model exchange-spring magnets, which are composed of magnetically soft and hard grains, were calculated by means of computer simulation. The dependence of the magnetic properties on the strength of intergrain exchange interaction and the amount of soft grains was studied. The existence of soft grains enhanced the remanence remarkably, and the remanence over $0.8M_{s}$ was obtained in the model magnets containing 25% or more soft grains by volume. The calculated coercivity vs. the strength of the exchange interaction curves showed a peak at a critical strength of the exchange interaction, although the remanence increased monotonously with increase in the strength of the exchange interaction. Thus the maximum energy product also reached a peak around the same critical strength. The calculated maximum energy product exceeded $300kJ/m^{3}$ when the magnet is assumed to be composed of $Fe_{3}B$ and $Nd_{2}Fe_{14}B$.

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The Effects of Favorable and Friendly in Emotion of Product Design

  • Zhang, Lin;Hyoung, Sung-Eun;Hong, Jung-Pyo
    • 감성과학
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    • 제15권2호
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    • pp.223-230
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    • 2012
  • This study researched the relationship between the element of "Favorable and Friendly" emotion on product design and the consumer's reaction to it. The emotional elements used here were proposed in the existing study. The research method was divided into 1st test and 2nd test. In the 1st test result, Favorable was related to "want to own, simple, new product and high-class", and also connected with "digital product, gaming product and computers". The products related to Friendly had association with the items about "interesting, cute, familiar, warmth and soft", and also connected with "simple product (toylike, household items, etc), low-price product, product which likes a friend, soft product, kitchen product and beauty treatments product, and so on". In the 2nd test, the preference of emotional product was high than general product, and it was known from the evaluation about design preference and design elements. If the preference was high following the order as: "Formativeness> Trend> Aesthetics> Color", the difference among the scores were small. And then the result about the relationship of emotional design factor "Favorable & Friendly" and evaluation of design preference & design elements was extraction.

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INITIAL SOFT L-FUZZY PREPROXIMITIES

  • KIM, YOUNG SUN;KIM, YONG CHAN
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제23권2호
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    • pp.119-130
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    • 2016
  • In this paper, we introduce the notions of soft L-fuzzy preproximities in complete residuated lattices. We prove the existence of initial soft L-fuzzy preproximities. From this fact, we define subspaces and product spaces for soft L-fuzzy preproximity spaces. Moreover, we give their examples.

토끼에서 아세트아미노펜 연집캅셀제의 생체이용율에 미치는 제제처방들의 영향 (Effects of Various Formulations on Bioavailability of Acetaminophen Soft Gelatin Capsules in Rabbits)

  • 박기배;이용석;최명호;이도익;이광표
    • 약학회지
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    • 제36권6호
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    • pp.598-603
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    • 1992
  • The purpose of this study was to assess the effect of three formulations; product A (polyethylene glycol was used as a main dispersing agent), product B (wax mixture was used as a main dispersing agent) and product C(silicon dioxide was used as a main dispersing agent) on bioavailability of acetaminophen soft gelatin capsules(softgels) and to develop an effective acetaminophen softgel which exhibits an excellent bioavailability. Acetaminophen softgels of various formulations were prepared as 4 minim round type by rotary die method. Four softgels of the three formulation (A, B, C), each of which contained 50 mg acetaminophen, were administered orally to 12 normal healthy rabbits using a three-way cross over design. Plasma acetaminophen concentrations were measured by HPLC. The results obtained in this study were as follows: 1. The Tmax rank order of acetaminophen softgel was C$(63.75{\pm}10.62\;min)$>A$(36.25{\pm}5.37\;min)$>B$(35{\pm}6.74\;min)$. 2. The decreasing Cmax order of softgel product was A$(93.51{\pm}0.55\;{\mu}g/ml)$>B$(3.16{\pm}0.37\;{\mu}g/ml)$>C$(2.6{\pm}0.55\;{\mu}g/ml)$. 3. The $[AUC]^{\infty}_0$ rank order for three acetaminophen softgel formulations was A $(14.89{\pm}1.56\;{\mu}g/ml{\cdot}min)$ >B$(14.39{\pm}1.43\;{\mu}g/ml{\cdot}min)$>C$(11.45{\pm}1.49\;{\mu}g/ml{\cdot}min)$. 4. Pharmacokinetic parameters such as Tmax, Cmax and $[AUC]^{\infty}_0$ of product A and B did not differ significantly(p>0.05). On the other hand, those of product C were significantly different(p>0.05).

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화상분석을 이용한 소프트 센서의 설계와 산업응용사례 1. 외관 품질의 수치적 추정과 모니터링 (Soft Sensor Design Using Image Analysis and its Industrial Applications Part 1. Estimation and Monitoring of Product Appearance)

  • 유준
    • Korean Chemical Engineering Research
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    • 제48권4호
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    • pp.475-482
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    • 2010
  • 화상분석(image analysis)을 이용하여 제품의 외관(外觀) 품질을 정량적으로 추정할 수 있는 소프트 센서를 설계하고, 이를 제품의 품질 모니터링에 적용하는 연구를 수행하였다. 여기에 사용된 방법론은 크게 다음의 세 단계로 구성되어 있다: (1) 웨이블릿 변환(wavelet transform)을 이용한 화상으로부터의 질감(texture) 특징 추출, (2) 추출된 질감특징의 부공간 투영(projection on subspace)을 통한 제품 외관의 추정, 그리고 (3) 질감특징의 잠재변수(latent variables) 즉, 외관의 수치적 추정치를 목적에 맞게 사용. 이 방법에서는 제품의 외관을 서로 다른 불연속적인 부류로의 분류 보다는, 연속적인 외관 변화를 일관적이고 정량적으로 추정하는데 초점을 두고자 한다. 이 방법은 인조대리석 외관의 수치적 추정과 품질 모니터링 적용사례를 통해 설명되었다.

LLR 기반 블록 터보 부호의 연판정 복호 알고리즘 일반화 (LLR Based Generalization of Soft Decision Iterative Decoding Algorithms for Block Turbo Codes)

  • 임현호;권경훈;허준
    • 방송공학회논문지
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    • 제16권6호
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    • pp.1026-1035
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    • 2011
  • 본 논문은 기존 블록 터보 부호의 SISO(Soft-input Soft-output) 기반 반복 복호 알고리즘의 일반화 및 활용에 대한 연구를 다루고 있다. R. M. Pyndiah는 AWGN 채널(Additive White Gaussian Noise Channel)에서 2차원 Linear Block Code(선형 블록 부호, LBC) 결합으로 구성된 Product 부호의 SISO 반복 복호 방식을 제안했으며, 이를 블록 터보 부호라 하였다. 블록 터보 부호의 SISO 복호방식은 SIHO(Soft-input Hard-output) 복호 방식인 Chase 알고리즘의 부호 판정을 기반으로 연판정 정보를 생성 후 전달하여 반복적인 복호를 수행한다. 블록 터보 부호는 AWGN 채널에서 높은 Code-rate(부호율)의 Product 부호에 대해 적은 SISO 복호 반복만으로도 샤논 한계에 근접하는 우수한 성능을 보여준다. 본 논문에서는 BPSK(Binary Phase Shift Keying) 변조와 AWGN 채널 전송을 가정한 기존 블록 터보 부호 복호 알고리즘을 채널 출력의 LLR(Log-likelihood Ratio)에 기반한 알고리즘으로 일반화하고, LDPC(Low-density Parity Check) 부호와 블록 터보 부호의 직렬 결합 구조에서 일반화된 알고리즘 활용 예를 제시한다.