• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권2호
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• pp.31-42
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• 2002

Applications of a result by Andrica and Raşa involving twice differentiable mappings for Shannon's and R$\acute{e}$nyi's entropy are given.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2012년도 추계학술대회
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• pp.109-111
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• 2012

한-EU FTA 발효 등은 교역 확대가 예상되며, 항만의 역할은 더욱더 중요해 질 것이다. 항만의 성과를 측정할 수 있는 방안으로 DEA를 활용한 효율성 측정을 들 수 있으며, 본 연구에서는 DEA 측정 시 모형 선정의 어려움과 동태적 효율성을 변화를 분석하기 위해 DEA와 Shannon's Entropy 결합모형으로 효율성을 분석하고, DEA-Window 모형으로 동태적 효율변화를 분석하였다.

• EDISON SW 활용 경진대회 논문집
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• 제6회(2017년)
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• pp.75-81
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• 2017

Polymer collapse transition에 대한 연구가 많이 진행되어왔다. 허나 각각의 microstate에 대한 entropy나 free energy에 대한 계산을 하지는 못하였다. 최근 local nonequilibrium thermodynamics와 관련한 논문이 발표되었는데 이는 비평형 상태에서의 각각의 microstate에 대한 확률 분포를 결정하는 물리량을 발견 및 특성을 규명하여 이 중 특별한 상태가 지니는 "information" 이라는 양이 내부에너지와 엔트로피와의 상관관계가 있음을 보였다. 또한, 이러한 information theory를 이용한 Shannon entropy를 사용하여 entropy를 정의하고 free energy와 같은 물리량을 계산하였다. 따라서 이를 이용하여 information theory를 이용한 Shannon entropy와 이로 정의된 free energy를 이용하여 polymer collapse중 entropy 및 free energy를 계산하였다.

• 호남수학학술지
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• 제44권4호
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• pp.513-520
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• 2022

The Jensen and Mercer inequalities are very important inequalities in information theory. The article provides the generalization of Mercer's inequality for convex functions on the line segments. This result contains Mercer's inequality as a particular case. Also, we investigate bounds for Shannon's entropy and give some new applications in zeta function and analysis.

• 한국문헌정보학회지
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• 제6권
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• pp.87-103
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• 1979

Information storage and retrieval is a part of general communication process. In the Shannon's information theory, information contained in a message is a measure of -uncertainty about information source and the amount of information is measured by entropy. Indexing is a process of reducing entropy of information source since document collection is divided into many smaller groups according to the subjects documents deal with. Significant concepts contained in every document are mapped into the set of all sets of index terms. Thus index itself is formed by paired sets of index terms and documents. Without indexing the entropy of document collection consisting of N documents is $log_2\;N$, whereas the average entropy of smaller groups $(W_1,\;W_2,...W_m)$ is as small $(as\;(\sum\limits^m_{i=1}\;H(W_i))/m$. Retrieval efficiency is a measure of information system's performance, which is largely affected by goodness of index. If all and only documents evaluated relevant to user's query can be retrieved, the information system is said $100\%$ efficient. Document file W may be potentially classified into two sets of relevant documents and non-relevant documents to a specific query. After retrieval, the document file W' is reclassified into four sets of relevant-retrieved, relevant-not retrieved, non-relevant-retrieved and non-relevant-not retrieved. It is shown in the paper that the difference in two entropies of document file Wand document file W' is a proper measure of retrieval efficiency.

• Nuclear Engineering and Technology
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• 제54권4호
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• pp.1261-1270
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• 2022

This study was conducted to investigate the possibility of using gaze entropy to evaluate an operator's situation awareness in an emergency accident situation of a nuclear power plant. Gaze entropy can be an effective measure for evaluating an operator's situation awareness at a nuclear power plant because it can express gaze movement as a single comprehensive number. In order to determine the relationship between situation awareness and gaze entropy for an emergency accident situation of a nuclear power plant, an experiment was conducted to measure situation awareness and gaze entropy using simulators created for emergency accident situations LOCA, SGTR, SLB, and LOV. The experiment was to judge the accident situation of nuclear power plants presented in the simulator. The results showed that situation awareness and Shannon, dwell time, and Markov entropy had a significant negative correlation, while visual attention entropy (VAE) did not show any significant correlation with situation awareness. The results determined that Shannon entropy, dwell time entropy, and Markov entropy could be used as measures to evaluate situation awareness.

• 산업경영시스템학회지
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• 제40권3호
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• pp.7-17
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• 2017

Loan consultants assist clients with loan application processing and loan decisions. Their duties may include contacting people to ask if they want a loan, meeting with loan applicants and explaining different loan options. We studied the efficiency of service quality of loan consultants contracted to a bank in Korea. They do not work as a team, but do work independently. Since he/she is not an employee of the bank, the consultant is paid solely in proportion to how much he/she sell loans. In this study, a consultant is considered as a decision making unit (DMU) in the DEA (Data Envelopment Analysis) model. We use a principal component analysis-data envelopment analysis (PCA-DEA) model integrated with Shannon's Entropy to evaluate quality efficiency of the consultants. We adopt a three-stage process to calculate the efficiency of service quality of the consultants. In the first stage, we use PCA to obtain 6 synthetic indicators, including 4 input indicators and 2 output indicators, from survey results in which questionnaire items are constructed on the basis of SERVQUAL model. In the second stage, 3 DEA models allowing negative values are used to calculate the relative efficiency of each DMU. In the third stage, the weight of each result is calculated on the basis of Shannon's Entropy theory, and then we generate a comprehensive efficiency score using it. An example illustrates the proposed process of evaluating the relative quality efficiency of the loan consultants and how to use the efficiency to improve the service quality of the consultants.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제29권1호
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• pp.51-57
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• 2022

The Jensen, Simic and Mercer inequalities are very important inequalities in theory of inequalities and some results are devoted to this inequalities. In this paper, firstly, we establish extension of Jensen-Simic-Mercer inequality. After that, we investigate bounds for Shannons entropy of a probability distribution. Finally, We give some new applications in analysis.

• 대한전자공학회논문지SP
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• 제49권1호
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• pp.11-18
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• 2012

본 논문에서는 고 전송률에서도 구현이 가능한 엔트로피 제한(entropy constrained) 벡터양자기를 제안하였다. 양자화는 프로덕트 부호책에 기초한 프로덕트 표본 적응 양자기(sample-adaptive product quantizer)를 사용하여 엔트로피 제한 SAPQ(ECSAPQ) 설계 알고리듬을 제안하고 실험을 통하여 성능을 비교해 보았다. 제안한 ECSAPQ는 비슷한 복잡도의 엔트로피 제한 VQ보다 약 0.5dB 정도 성능이 좋음을 알 수 있었다. 또한 스칼라 양자기에 기초한 ECSAPQ는 Shannon의 최저 왜곡 곡선과 1.53dB의 차이를 가지는 ECSQ의 고 전송률에서의 이론 곡선보다 더 낮은 왜곡 곡선을 가짐을 확인할 수 있었다.

• 문화기술의 융합
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• 제8권4호
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• pp.415-422
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• 2022

이기종인 온주감귤 유전자(A=20.57, C=32.71, G=30.01, U=16.71%)와 커피 유전자(A=20.66, C=31.76, G=30.187, U=16.71%)는 95%이상이 유전자비가 동일하다. 이기종이면 일반적으로 유전자 결합이 안 되는 것으로 알려졌다. 그러나 유전자 기능적-유사성이 95%이상에서 Chargaff 룰과 Shannon Entropy 조건을 만족하면 접목이 가능하며, 새품종인 Coffrange가 된다. 우리는 DNA-RNA를 세계최초 BCJM 행렬로 풀어 미국특허 및 국제저널에 발표했다. 모든 동식물과 바이러스도 사람이 유전자와 비슷하다. 이점에 착안, 코로나-19와 인체의 유전자 특성을 풀어 영국 행렬교재에 6월 발표했다. 식물에서는 유전자 위치를 쉽게 바꾸는 기법인 BCJM-Transposon으로 처리한다. 시뮬레션에서는 행렬이 Cut & Paste와 Transpose로 성공할 수 있음을 예측했다.