• Title/Summary/Keyword: Soft Set

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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.

SEVEN GENERALIZED TYPES OF SOFT SEMI-COMPACT SPACES

  • Al-shami, Tareq Mohammed;El-Shafei, Mohammed E.;Abo-Elhamayel, Mohammed
    • Korean Journal of Mathematics
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    • v.27 no.3
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    • pp.661-690
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    • 2019
  • The soft compactness notion via soft topological spaces was first studied in [10,29]. In this work, soft semi-open sets are utilized to initiate seven new kinds of generalized soft semi-compactness, namely soft semi-$Lindel{\ddot{o}}fness$, almost (approximately, mildly) soft semi-compactness and almost (approximately, mildly) soft semi-$Lindel{\ddot{o}}fness$. The relationships among them are shown with the help of illustrative examples and the equivalent conditions of each one of them are investigated. Also, the behavior of these spaces under soft semi-irresolute maps are investigated. Furthermore, the enough conditions for the equivalence among the four sorts of soft semi-compact spaces and for the equivalence among the four sorts of soft semi-$Lindel{\ddot{o}}f$ spaces are explored. The relationships between enriched soft topological spaces and the initiated spaces are discussed in different cases. Finally, some properties which connect some of these spaces with some soft topological notions such as soft semi-connectedness, soft semi $T_2$-spaces and soft subspaces are obtained.

FILTERS OF RESIDUATED LATTICES BASED ON SOFT SET THEORY

  • JUN, YOUNG BAE;LEE, KYOUNG JA;PARK, CHUL HWAN;ROH, EUN HWAN
    • Communications of the Korean Mathematical Society
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    • v.30 no.3
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    • pp.155-168
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    • 2015
  • Strong uni-soft filters and divisible uni-soft filters in residuated lattices are introduced, and several properties are investigated. Characterizations of a strong and divisible uni-soft filter are discussed. Conditions for a uni-soft filter to be divisible are established. Relations between a divisible uni-soft filter and a strong uni-soft filter are considered.

Tuning of a PID Controller Using Soft Computing Methodologies Applied to Basis Weight Control in Paper Machine

  • Nagaraj, Balakrishnan;Vijayakumar, Ponnusamy
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.43 no.3
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    • pp.1-10
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    • 2011
  • Proportional.Integral.Derivative control schemes continue to provide the simplest and effective solutions to most of the control engineering applications today. However PID controller is poorly tuned in practice with most of the tuning done manually which is difficult and time consuming. This research comes up with a soft computing approach involving Genetic Algorithm, Evolutionary Programming, and Particle Swarm Optimization and Ant colony optimization. The proposed algorithm is used to tune the PID parameters and its performance has been compared with the conventional methods like Ziegler Nichols and Lambda method. The results obtained reflect that use of heuristic algorithm based controller improves the performance of process in terms of time domain specifications, set point tracking, and regulatory changes and also provides an optimum stability. This research addresses comparison of tuning of the PID controller using soft computing techniques on Machine Direction of basics weight control in pulp and paper industry. Compared to other conventional PID tuning methods, the result shows that better performance can be achieved with the soft computing based tuning method. The ability of the designed controller, in terms of tracking set point, is also compared and simulation results are shown.

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.

Analysis and Simplification of Fault Model for CMOS Operational Amplifier (CMOS 연산 증폭기의 고장 모델 분석 및 고장 집합의 간략화)

  • 김윤도;송근호;이효상;김강철;한석붕
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.349-352
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    • 1999
  • In this paper, we present simplified fault set which is made by analyzing fault relation to design specification in CMOS operational amplifier. The hard fault is easily modeled because an effect of hard fault is out of all design specification. However, the soft fault is not easily modeled because an effect of soft fault on design specification is varied according to position and depth of fault. We simulated hard and soft fault by HSPICE, varying threshold voltage and W/L ratio from 90% increase to 90% decrease. The decrease of test time and the production of high reliability mixed-mode IC are possible by the proposed fault set.

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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.

Performance Evaluation of Rough Set Classifier (러프 집합 분류기의 성능 평가)

  • 류재홍;임창균
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.232-235
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    • 1998
  • This paper evaluates the performance of a rough set based pattern classifier using the benchmarks in artificial neural nets depository found in internet. The definition of rough set in soft computing paradigm is briefly introduced. next the design of rough set classifier is suggested. Finally benchmark test results are shown the performance of rough set compare to that of ANNs and decision tree.

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The Metaverse and Video Games: Merging Media to Improve Soft Skills Training

  • Shin, Edward;Kim, Jang Hyun
    • Journal of Internet Computing and Services
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    • v.23 no.1
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    • pp.69-76
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    • 2022
  • Education systems have made efforts to prepare students by providing technical and nontechnical courses. With video games, however, there is the potential to develop dedicated metaverses that can help teach soft skills even during casual pastimes. The research conducted will propose a set of design practices for metaverse and game development to promote soft skills. While there are many soft skills people can acquire, this paper will focus on certain aspects based on specific games and studies. There will be some information collected from the information to support the design model and arguments. This paper will provide developers with a starting point for imaginative game creation and impart users with soft skills to assist in their professions and social life.

Detection of Laundry Weights in the Washing Machine Using The Rough Set Theory (Rough Set 이론을 이용한 전자동 세탁기의 포량 감지에 관한 연구)

  • 김형섭;최이존;고범석
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.175-178
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    • 1997
  • 최근들어 가전제품은 90년대를 전후로 고품질화, 고기능화, 다양화, 지능화로의 추세가 한층 가속화되도 있다. 즉 퍼지, 신경회로망, 카오스, 유전자 알고리즘등으로 대표되는 soft computing 기술을 적용하여 가전제품의 인공지능화를 추구해 왔으며 한편으로는 첨단이론을 적요안 가전제품의 수명은 점점 단축되고 있는 실정이다. 한편 환경보호에 대한 사회 전반적인 인식의 확대호 에너지 절약에 대한 관심이 고조되고 있다. 따라서 세탁기 사용에 있어서 세탁량을 정확히 감지하여 오감지로 인한 과도한 세탁수 사용을 방지할 수 있는 알고리즘을 개발하면 한정된 에너지를 절약하는데 큰 기여를 할 수 있다. Soft computing 기술의 하나인 Rough set 이론을 적용하여 세탁량(포량)감지 알고리즘개발에 관해 기술한다.

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