• Title/Summary/Keyword: delta set

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MORE GENERALIZED FUZZY SUBSEMIGROUPS/IDEALS IN SEMIGROUPS

  • Khan, Muhammad Sajjad Ali;Abdullah, Saleem;Jun, Young Bi;Rahman, Khaista
    • Honam Mathematical Journal
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    • v.39 no.4
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    • pp.527-559
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    • 2017
  • The main motivation of this article is to generalized the concept of fuzzy ideals, (${\alpha},{\beta}$)-fuzzy ideals, (${\in},{\in}{\vee}q_k$)-fuzzy ideals of semigroups. By using the concept of $q^{\delta}_K$-quasi-coincident of a fuzzy point with a fuzzy set, we introduce the notions of (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy left ideal, (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy right ideal of a semigroup. Special sets, so called $Q^{\delta}_k$-set and $[{\lambda}^{\delta}_k]_t$-set, condition for the $Q^{\delta}_k$-set and $[{\lambda}^{\delta}_k]_t$-set-set to be left (resp. right) ideals are considered. We finally characterize different classes of semigroups (regular, left weakly regular, right weakly regular) in term of (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy left ideal, (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy right ideal and (${\in},{\in}{\vee}q^{\delta}_k$)-fuzzy ideal of semigroup S.

𝛿;-FUZZY IDEALS IN PSEUDO-COMPLEMENTED DISTRIBUTIVE LATTICES

  • ALABA, BERHANU ASSAYE;NORAHUN, WONDWOSEN ZEMENE
    • Journal of applied mathematics & informatics
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    • v.37 no.5_6
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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.

A NEW TOPOLOGY FROM AN OLD ONE

  • Darwesh, Halgwrd Mohammed
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.401-413
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    • 2012
  • In the present paper we construct and introduce a new topology from an old one which are independent each of the other. The members of this topology are called ${\omega}_{\delta}$-open sets. We investigate some basic properties and their relationships with some other types of sets. Furthermore, a new characterization of regular and semi-regular spaces are obtained. Also, we introduce and study some new types of continuity, and we obtain decompositions of some types of continuity.

Linear Relationships between Thermodynamic Parameters (Part I) Theoretical (熱力學 函數間의 直線關係 (第1報) 理論)

  • Ikchoon Lee
    • Journal of the Korean Chemical Society
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    • v.7 no.3
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    • pp.211-215
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    • 1963
  • Inter-relationship between the Hammett equation and the linear enthalpy-entropy effect has been discussed by deriving a new set of equations; ${\Delta}{\Delata}H^{\neq}=a{\sigma}+b{\Delta}{\Delta}S^{\neq}$ and ${\Delta}{\Delta}F^{\neq}=a{sigma}+(b-T){\Delta}{\Delta}S^{\neq}$ where a = -1.36p. Theoretical analysis show that the Hammett, Leffler and Brown equations are special limited forms of these general equations. A necessary and sufficient test of substituent effect can thus be provided by the plot of $({\Delta}{\Delta}H^{\neq}-a{\sigma)$ versus ${\Delta}{\Delta}S^{\neq}$.

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Hierarchical Multi-Classifier for the Mixed Character Code Set (홍용 문자 코드 집합을 위한 계층적 다중문자 인식기)

  • Kim, Do-Hyeon;Park, Jae-Hyeon;Kim, Cheol-Ki;Cha, Eui-Young
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.10
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    • pp.1977-1985
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    • 2007
  • The character recognition technique is one of the artificial intelligence and has been widely applied in the automated system robot HCI(Human Computer Interaction), etc. This paper introduces the character set and the representative character that can be used in the recognition of the mage ROI. The character codes in this ROI include the digit, symbol, English and Hereat etc. We proposed the efficient multi-classifier structure by combining the small-size classifiers hierarchically. Moreover, we generated each small-size classifiers by delta-bar-delta learning algorithm. We tested the performance with various kinds of images and achieved the accuracy of 99%. The proposed multi-classifier showed the efficiency and the reliability for the mixed character code set.

ALMOST GP-SPACES

  • Mohammad, Reza Ahmadi Zand
    • Journal of the Korean Mathematical Society
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    • v.47 no.1
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    • pp.215-222
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    • 2010
  • A T$_1$ topological space X is called an almost GP-space if every dense G$_{\delta}$-set of X has nonempty interior. The behaviour of almost GP-spaces under taking subspaces and superspaces, images and preimages and products is studied. If each dense G$_{\delta}$-set of an almost GP-space X has dense interior in X, then X is called a GID-space. In this paper, some interesting properties of GID-spaces are investigated. We will generalize some theorems that hold in almost P-spaces.

New Gain Optimization Method for Sigma-Delta A/D Converters Using CIC Decimation Filters (CIC 데시메이션 필터를 이용한 Sigma-Delta A/D 변환기 이득 최적화 방식)

  • Jang, Jin-Kyu;Jang, Young-Beom
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.4
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    • pp.1-8
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    • 2010
  • In this paper, we propose a new gain optimization technique for Sigma-Delta A/D converters. In the proposed scheme, multiple gain set candidates showing maximum SNR in the modulator block are selected, and then multiple gain set candidates are investigated for minimum MSE in decimation block. Through CIC decimation filter simulation, it is shown that second SNR ranking candidate in modulation block is the best gain set.

Evaluation of Frequency Warping Based Features and Spectro-Temporal Features for Speaker Recognition (화자인식을 위한 주파수 워핑 기반 특징 및 주파수-시간 특징 평가)

  • Choi, Young Ho;Ban, Sung Min;Kim, Kyung-Wha;Kim, Hyung Soon
    • Phonetics and Speech Sciences
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    • v.7 no.1
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    • pp.3-10
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    • 2015
  • In this paper, different frequency scales in cepstral feature extraction are evaluated for the text-independent speaker recognition. To this end, mel-frequency cepstral coefficients (MFCCs), linear frequency cepstral coefficients (LFCCs), and bilinear warped frequency cepstral coefficients (BWFCCs) are applied to the speaker recognition experiment. In addition, the spectro-temporal features extracted by the cepstral-time matrix (CTM) are examined as an alternative to the delta and delta-delta features. Experiments on the NIST speaker recognition evaluation (SRE) 2004 task are carried out using the Gaussian mixture model-universal background model (GMM-UBM) method and the joint factor analysis (JFA) method, both based on the ALIZE 3.0 toolkit. Experimental results using both the methods show that BWFCC with appropriate warping factor yields better performance than MFCC and LFCC. It is also shown that the feature set including the spectro-temporal information based on the CTM outperforms the conventional feature set including the delta and delta-delta features.

Effects of Paf1 complex components on H3K4 methylation in budding yeast (출아효모에서 Paf1 복합체의 구성원들이 H3의 네번째 라이신의 메틸화에 미치는 영향)

  • Oh, Jun-Soo;Lee, Jung-Shin
    • Korean Journal of Microbiology
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    • v.52 no.4
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    • pp.487-494
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    • 2016
  • In Saccharomyces cerevisiae, Paf1 complex consists of five proteins, and they are structurally and functionally well conserved in yeast, fruit fly, plants, and human. With binding to RNA polymerase II from transcription start site to termination site, Paf1 complex functions as a platform for recruiting many types of transcription factors to RNA polymerase II. Paf1 complex contributes to H2B ubiquitination and indirectly influences on H3K4 di- and tri-methylation by histone crosstalk. But the individual effects of five components in Paf1 complex on these two histone modifications including H2B ubiquitination and H3K4 methylation largely remained to be identified. In this study, we constructed the single-gene knockout mutants of each Paf1 complex component and observed H3K4 mono-, di-, and trimethylation as well as H2B ubiquitination in these mutants. Interestingly, in each ${\Delta}paf1$, ${\Delta}rtf1$, and ${\Delta}ctr9$ strain, we observed the dramatic defect in H3K4 monomethylation, which is independent of H2B ubiquitination, as well as H3K4 di- and trimethylation. However, the protein level of Set1, which is methyltransferase for H3K4, was not changed in these mutants. This suggests that Paf1 complex may directly influence on H3K4 methylation by directly regulating the activity of Set1 or the stability of Set1 complex in an H2B ubiquitination independent manner.