• Title/Summary/Keyword: Level sets

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PYTHAGOREAN FUZZY SOFT SETS OVER UP-ALGEBRAS

  • AKARACHAI SATIRAD;RUKCHART PRASERTPONG;PONGPUN JULATHA;RONNASON CHINRAM;AIYARED IAMPAN
    • Journal of applied mathematics & informatics
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    • v.41 no.3
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    • pp.657-685
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    • 2023
  • This paper aims to apply the concept of Pythagorean fuzzy soft sets (PFSSs) to UP-algebras. Then we introduce five types of PFSSs over UP-algebras, study their generalization, and provide illustrative examples. In addition, we study the results of four operations of two PFSSs over UP-algebras, namely, the union, the restricted union, the intersection, and the extended intersection. Finally, we will also discuss t-level subsets of PFSSs over UP-algebras to study the relationships between PFSSs and special subsets of UP-algebras.

ON BIPOLAR M - N-MULTI Q-FUZZY SUBGROUPS

  • MOURAD OQLA MASSA'DEH;AHLAM FALLATAH
    • Journal of applied mathematics & informatics
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    • v.41 no.4
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    • pp.781-799
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    • 2023
  • For any bipolar multi Q-fuzzy set δ of an universe set G, we redefined a normal, conjugate concepts, union and product operations of a bipolar M - N-multi Q-fuzzy subgroups and we discuss some of its properties. On the other hand, we introduce and define the level subsets positive β-cut and negative α-cut of bipolar M - N- multi Q- fuzzy subgroup and discuss some of its related properties.

IDEALS OF SHEFFER STROKE HILBERT ALGEBRAS BASED ON FUZZY POINTS

  • Young Bae Jun;Tahsin Oner
    • Honam Mathematical Journal
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    • v.46 no.1
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    • pp.82-100
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    • 2024
  • The main objective of the study is to introduce ideals of Sheffer stroke Hilbert algebras by means of fuzzy points, and investigate some properties. The process of making (fuzzy) ideals and fuzzy deductive systems through the fuzzy points of Sheffer stroke Hilbert algebras is illustrated, and the (fuzzy) ideals and the fuzzy deductive systems are characterized. Certain sets are defined by virtue of a fuzzy set, and the conditions under which these sets can be ideals are revealed. The union and intersection of two fuzzy ideals are analyzed, and the relationships between aforementioned structures of Sheffer stroke Hilbert algebras are built.

Isolation of a Variant Strain of Pleurotus eryngii and the Development of Specific DNA Markers to Identify the Variant Strain

  • Lee, Hyun-Jun;Kim, Sang-Woo;Ryu, Jae-San;Lee, Chang-Yun;Ro, Hyeon-Su
    • Mycobiology
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    • v.42 no.1
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    • pp.46-51
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    • 2014
  • A degenerated strain of Pleurotus eryngii KNR2312 was isolated from a commercial farm. Random amplified polymorphic DNA analysis performed on the genomic DNA of the normal and degenerated strains of this species revealed differences in the DNA banding pattern. A unique DNA fragment (1.7 kbp), which appeared only in the degenerated strain, was isolated and sequenced. Comparing this sequence with the KNR2312 genomic sequence showed that the sequence of the degenerated strain comprised three DNA regions that originated from nine distinct scaffolds of the genomic sequence, suggesting that chromosome-level changes had occurred in the degenerated strain. Using the unique sequence, three sets of PCR primers were designed that targeted the full length, the 5' half, and the 3' half of the DNA. The primer sets P2-1 and P2-2 yielded 1.76 and 0.97 kbp PCR products, respectively, only in the case of the degenerated strain, whereas P2-3 generated a 0.8 kbp product in both the normal and the degenerated strains because its target region was intact in the normal strain as well. In the case of the P2-1 and P2-2 sets, the priming regions of the forward and reverse primers were located at distinct genomic scaffolds in the normal strain. These two primer sets specifically detected the degenerate strain of KNR2312 isolated from various mushrooms including 10 different strains of P. eryngii, four strains of P. ostreatus, and 11 other wild mushrooms.

Mean Meridional Circulation-Eddy Interaction in Three Reanalysis Data Sets during the Boreal Winter (세 가지 재분석 자료에서의 겨울철 북반구 평균 자오면 순환-에디 상호작용)

  • Moon, Hyejin;Ha, Kyung-Ja
    • Atmosphere
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    • v.25 no.3
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    • pp.543-557
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    • 2015
  • The present study examines an interaction between the eddy and mean meridional circulation (MMC) comparing the results in three reanalysis data sets including ERA-Interim, NCEP2, and JRA-55 during the boreal winter in the Northern Hemisphere. It is noteworthy that the JRA-55 tends to produce stronger MMC compared to those of others, which is mainly due to the weak eddy flux. ERA-Interim represents the ensemble averages of MMC. The MMC-eddy interaction equation was adopted to investigate the scale interaction of the eddy momentum flux (EMF), eddy heat flux (EHF), and diabatic heating (DHT) with MMC. The EMF (EHF) shows a significant correlation coefficient with streamfunction under (above) 200 hPa-level. The perturbation (time mean) part of each eddy is dominant compared to another part in the EMF (EHF). The DHT is strongly interacted with streamfunction in the region between the equator and extra-tropical latitude over whole vertical column. Thus, the dominant term in each significant region modulates interannual variability of MMC. The inverse (proportional) relationship between MMC and pressure (meridional) derivative of the momentum (heat) divergence contributions is well represented in the three reanalysis data sets. The region modulated interannual variability of MMC by both EMF and DHT (EHF) is similar in ERA-Interim and JRA-55 (ERA-Interim and NCEP2). JRA-55 shows a lack of significant region of EHF due to the high resolution, compared to other data sets.

A Metamodel for Creation and Maintenance of Evaluation Set of Software Package Evaluation (소프트웨어 패키지 평가를 위한 평가집합의 생성 및 유지를 위한 메타 모델)

  • Oh, Jae-Won;Lee, Chong-Won;Park, Dong-Chul;Lee, Byung-Jeong;Wu, Chi-Su;Kim, Soon-Yong;Song, Gi-Pyeung
    • The KIPS Transactions:PartD
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    • v.11D no.3
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    • pp.577-590
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    • 2004
  • Today, the growth of software industry leads to e quantitative expansion of software package products. Due to this rapid increase of software package products, qualify certification has been required fur software products which users select. Unlike the quality certification of industrial products, the history of software product certification has not been so long. For this reason, software quality evaluation and certification methods have not matured yet. When certifying software products, one of most important factors is the systematic generation of evaluation sets. The evaluation sets include checklists with metrics, and criteria for the software quality certification according to the classification of software product type. This paper presents a metamodel for the systematic generation and maintenance of the evaluation sets. Then, we construct prototype level evaluation sets to show the validity of the metamodel.

A Study on the Description of Archival Datasets (데이터세트 기록물의 기술요소에 관한 연구)

  • Kim, Po-Ok;Yun, Soo-Young
    • Journal of the Korean BIBLIA Society for library and Information Science
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    • v.18 no.2
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    • pp.39-59
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    • 2007
  • With the rapid spread of the practice of collecting and treating data by using a data base system, it's increasingly more critical to approach data sets in the same manner as general records in the collection, evaluation, preservation, and utilization process. Despite the importance, however, the interest level in data sets in Korea's records management is very low. In order to suggest basic items to regard data sets as records and manage them systematically, this study examined the descriptive elements of data set records. descriptive elements of data set records were suggested by comparing and analyzing those ones adopted by the agencies that regarded data sets as records and provided the concerned service as well as the descriptive rules of electronic records set by the advanced nations in records management based on the descriptive areas of ISAD(G).

THE STRUCTURE OF THE REGULAR LEVEL SETS

  • Hwang, Seung-Su
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.6
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    • pp.1245-1252
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    • 2011
  • Consider the $L^2$-adjoint $s_g^{'*}$ of the linearization of the scalar curvature $s_g$. If ker $s_g^{'*}{\neq}0$ on an n-dimensional compact manifold, it is well known that the scalar curvature $s_g$ is a non-negative constant. In this paper, we study the structure of the level set ${\varphi}^{-1}$(0) and find the behavior of Ricci tensor when ker $s_g^{'*}{\neq}0$ with $s_g$ > 0. Also for a nontrivial solution (g, f) of $z=s_g^{'*}(f)$ on an n-dimensional compact manifold, we analyze the structure of the regular level set $f^{-1}$(-1). These results give a good understanding of the given manifolds.

ESTIMATION OF SEAWATER LEVEL ON SEA FARMS USING L-BAND RADAR INTERFEROMETRY

  • Kim, Sang-Wan;Won, Joong-Sun
    • Proceedings of the KSRS Conference
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    • 2002.10a
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    • pp.312-316
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    • 2002
  • Satellite radar interferometry data shows a strong coherent signal on oyster sea farms where artificial structures installed on the bottom. We obtained 21 highly coherent interferograms from eleven JERS-1 SAR data sets despite of large orbital baseline (~2 km) or large temporal baseline (~l year). The phases observed in sea farms are probably induced by double bouncing on sea surface, and consequently reveal a tide height variation. To restore the absolute sea level changes we counted the number of wrapping by exploiting the intensity of backscattering. Backscattering intensity is closely correlated with the change in water surface height, while interferometry gives the detailed variation within the limit of 2$\pi$ (or 15.3 cm). Comparing the radar measurements with the tide gauge records yielded a correlation coefficient of 0.96 and an ms error of 6.0 cm. The results demostrate that radar interferometry is promising to measure sea level.

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Theoretical Studies on the Acid-Catalyzed Hydrolysis of Sulfinamide

  • 김찬경;이익준
    • Bulletin of the Korean Chemical Society
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    • v.18 no.8
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    • pp.880-886
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    • 1997
  • Ab initio calculations were carried out on the gas phase acid-catalyzed hydrolysis reactions of sulfinamide using the 3-21G* basis sets. Single point calculations were also performed at the MP2/6-31G* level. The first step in the acid-catalyzed hydrolysis of N-methylmethanesulfinamide, Ⅰ, involves protonation. The most favorable form is the O-protonated one, Ⅱ, which is then transformed into a sulfurane intermediate, Ⅲ, by addition of a water molecule. The reaction proceeds further by an intramolecular proton transfer from O to N (TS2), which is followed by N-S bond cleavage (TS3) leading to the final products. The rate determining step is the N-S bond cleavage (TS3) at the RHF/3-21G* level, whereas it becomes indeterminable at the MP2/6-31G*//3-21G* level of theory. However, the substituent effect studies with N-protonated N-arylmethanesulfinamide, ⅩⅢ, at the MP2/6-31G*//3-21G* level support the N-S bond breaking step as rate limiting.