• Title/Summary/Keyword: SETs

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ON $P-\mathcal{I}$-OPEN SETS

  • Kang, Jeong-Gi;Kim, Chang-Su
    • Honam Mathematical Journal
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    • v.31 no.3
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    • pp.293-314
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    • 2009
  • The notions of pre-local function, semi-local functions and ${\alpha}$-local functions with respect to a topology and an ideal are introduced, and several properties are investigated. Also, the concept of $P-\mathcal{I}$-open sets and $P-\mathcal{I}$-closed sets in ideal topological spaces are discussed. Relations between $\mathcal{I}$-open sets and $P-\mathcal{I}$-open sets are provided, and several properties related to $P-\mathcal{I}$-open sets, pre-local functions, semi-local functions and ${\alpha}$-local functions with respect to a topology and an ideal are investigated.

Recognition and classification of dimension set for automatic input of mechanical drawings (기계 도면의 자동 입력을 위한 치수 집합의 인식 및 분류)

  • 정윤수;박길흠
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.11
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    • pp.114-125
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    • 1997
  • This paper presents a method that automatically recognizes dimension sets from the mechanical drawings, and that classifies 6 types dimension sets according to functional purpose. In the proposed method, the object and closed-loop symbols are separated from the character-free drawings. Then object lines and interpretation lines are vectorized. And, after recognizing dimension sets(consistings of arrowhead, shape line, tail lines, extension lines, text-string, and feature control frame), we classify recognized dimension sets as horizontal, vertical, angular, diametral, radial, and leader dimension sets. Finally the proposed method converts classified dimension sets into AutoCAD data by using AutoLisp language. By using the methods of geometric modeling, the proposed method readily recognized and classifies dimension sets from complex drawings. Experimetnal results are presented, which are obtained by applying the proposed method to drawings drawn in compliance with the KS drafting standard.

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Reliability Analysis of Fuzzy Systems Based on Interval Valued Vague Sets (구간값 모호집합에 기반을 둔 퍼지시스템의 신뢰도 분석)

  • Lee, Se-Yul;Cho, Sang-Yeop;Kim, Yong-Soo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.362-365
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    • 2008
  • In the conventional fuzzy system reliability analysis, the reliabilities of the fuzzy systems and the components of fuzzy systems are represented by real values between zero and one, fuzzy numbers, vague sets, interval valued fuzzy sets, etc. This paper propose a method to represent and analyze the reliabilities of the fuzzy systems based on the internal valued vague sets defined in the universe of discourse [0, 1]. In the interval valued vague sets, the upper bounds and the lower bounds of the conventional vague sets are represented as the intervals, therefore it can allow the reliabilities of a fuzzy system to represent and analyze in a more flexible manner.

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Ambiguity Analysis of Defectiveness in NASA MDP Data Sets (NASA MDP 데이터 집합의 결함도 모호성 분석)

  • Hong, Euyseok
    • Journal of Information Technology Services
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    • v.12 no.2
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    • pp.361-371
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    • 2013
  • Public domain defect data sets, such as NASA data sets which are available from the NASA MDP and PROMISE repositories, make it possible to compare the results of different defect prediction models by using the same data sets. This means that repeatable and general prediction models can be built. However, some recent studies have raised questions about the quality of two versions of NASA data set, and made new cleaned data sets by applying their data cleaning processes. We find that there are two ways in the NASA MDP versions to determine the defectiveness of a module, 0 or 1, and the two results are different in some cases. This serious problem, to our knowledge, has not been addressed in previous studies. To handle this ambiguity problem, we define two kinds of module defectiveness and two conditions that can be used to determine the ambiguous cases. We meticulously analyze 5 projects among the 13 NASA projects by using our ambiguity analysis method. The results show that JM1 and PC4 are the best projects with few ambiguous cases.

Three Modes of Three Sets Type Korean Keyboards and Unified Designs for North and South Koreas (한글 세벌식 자판의 세 가지 유형과 남북 통합 설계)

  • Kim, Kuk
    • Journal of Korean Society for Quality Management
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    • v.37 no.4
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    • pp.52-60
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    • 2009
  • The North and South Koreas have different standards for computer keyboard designs, though both are two sets type keyboards. We expect that the unified design will be three sets type as the third standard. Korean keyboards of three sets type are classified as 3 modes in this paper, such as limited models, medium models, and extended models. Based on design principles of three sets type, 27, 29, 30, 36, and 38 keys models for a unified standard are suggested.

A Note on Interval-Valued Fuzzy Soft Sets (Interval-Valued Fuzzy Soft sets 관한 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.3
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    • pp.412-415
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    • 2008
  • In this paper, we show that the concepts of null interval-valued fuzzy and absolute interval-valued fuzzy soft sets are not reasonable. Thus we introduce the modified concepts for them and study some properties. Also we introduce an operation for the interval-valued fuzzy soft set theory and study basic properties.

Scaled and unscaled ground motion sets for uni-directional and bi-directional dynamic analysis

  • Kayhan, Ali Haydar
    • Earthquakes and Structures
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    • v.10 no.3
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    • pp.563-588
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    • 2016
  • In this study, solution models are proposed to obtain code-compatible ground motion record sets which can be used for both uni-directional and bi-directional dynamic analyses. Besides scaled, unscaled ground motion record sets are obtained to show the utility and efficiency of the solution models. For scaled ground motion sets the proposed model is based on hybrid HS-Solver which integrates heuristic harmony search (HS) algorithm with the spreadsheet Solver add-in. For unscaled ground motion sets HS based solution model is proposed. Design spectra defined in Eurocode-8 for different soil types are selected as target spectra. The European Strong Motion Database is used to get ground motion record sets. Also, a sensitivity analysis is conducted to evaluate the effect of different HS solution parameters on the solution accuracy. Results show that the proposed solution models can be regarded as efficient ways to develop scaled and unscaled ground motion sets compatible with code-based design spectra.

On Mean Open and Closed Sets

  • Mukharjee, Ajoy;Bagchi, Kallol Bhandhu
    • Kyungpook Mathematical Journal
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    • v.56 no.4
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    • pp.1259-1265
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    • 2016
  • In this paper, we introduce the notions of mean open and closed sets in topological spaces, and obtain some properties of such sets. We observe that proper paraopen and paraclosed sets are identical to mean open and closed sets respectively.

A Note on Distances between Interval-Valued Intuitionistic Fuzzy Sets

  • Jang, Lee-Chae;Kim, Won-Joo;Kim, T.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.1
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    • pp.8-11
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    • 2011
  • Atanassov [1,2] and Szmidt and Kacprzyk[7,8] studied various methods for measuring distances between intuitionistic fuzzy sets. In this paper, we consider interval-valued intuitionistic fuzzy sets and discuss these methods for measuring distances between interval-valued intuitionistic fuzzy sets.

SOME RESULTS ON CONVERGENCE IN DISTRIBUTION FOR FUZZY RANDOM SETS

  • JOO SANG YEOL;CHOI GYEONG SUK;KWON JOONG SUNG;KIM YUN KYONG
    • Journal of the Korean Mathematical Society
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    • v.42 no.1
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    • pp.171-189
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    • 2005
  • In this paper, we first establish some characterization of tightness for a sequence of random elements taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in $R^P$. As a result, we give some sufficient conditions for a sequence of fuzzy random sets to converge in distribution.