• 제목/요약/키워드: Rule Theory

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An intelligent fuzzy theory for ocean structure system analysis

  • Chen, Tim;Cheng, C.Y.J.;Nisa, Sharaban Tahura;Olivera, Jonathan
    • Ocean Systems Engineering
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    • v.9 no.2
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    • pp.179-190
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    • 2019
  • This paper deals with the problem of the global stabilization for a class of ocean structure systems. It is well known that, in general, the global asymptotic stability of the ocean structure subsystems does not imply the global asymptotic stability of the composite closed-loop system. The classical fuzzy inference methods cannot work to their full potential in such circumstances because given knowledge does not cover the entire problem domain. However, requirements of fuzzy systems may change over time and therefore, the use of a static rule base may affect the effectiveness of fuzzy rule interpolation due to the absence of the most concurrent (dynamic) rules. Designing a dynamic rule base yet needs additional information. In this paper, we demonstrate this proposed methodology is a flexible and general approach, with no theoretical restriction over the employment of any particular interpolation in performing interpolation nor in the computational mechanisms to implement fitness evaluation and rule promotion.

Rule Generation and Approximate Inference Algorithms for Efficient Information Retrieval within a Fuzzy Knowledge Base (퍼지지식베이스에서의 효율적인 정보검색을 위한 규칙생성 및 근사추론 알고리듬 설계)

  • Kim Hyung-Soo
    • Journal of Digital Contents Society
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    • v.2 no.2
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    • pp.103-115
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    • 2001
  • This paper proposes the two algorithms which generate a minimal decision rule and approximate inference operation, adapted the rough set and the factor space theory in fuzzy knowledge base. The generation of the minimal decision rule is executed by the data classification technique and reduct applying the correlation analysis and the Bayesian theorem related attribute factors. To retrieve the specific object, this paper proposes the approximate inference method defining the membership function and the combination operation of t-norm in the minimal knowledge base composed of decision rule. We compare the suggested algorithms with the other retrieval theories such as possibility theory, factor space theory, Max-Min, Max-product and Max-average composition operations through the simulation generating the object numbers and the attribute values randomly as the memory size grows. With the result of the comparison, we prove that the suggested algorithm technique is faster than the previous ones to retrieve the object in access time.

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A novel evidence theory model and combination rule for reliability estimation of structures

  • Tao, Y.R.;Wang, Q.;Cao, L.;Duan, S.Y.;Huang, Z.H.H.;Cheng, G.Q.
    • Structural Engineering and Mechanics
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    • v.62 no.4
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    • pp.507-517
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    • 2017
  • Due to the discontinuous nature of uncertainty quantification in conventional evidence theory(ET), the computational cost of reliability analysis based on ET model is very high. A novel ET model based on fuzzy distribution and the corresponding combination rule to synthesize the judgments of experts are put forward in this paper. The intersection and union of membership functions are defined as belief and plausible membership function respectively, and the Murfhy's average combination rule is adopted to combine the basic probability assignment for focal elements. Then the combined membership functions are transformed to the equivalent probability density function by a normalizing factor. Finally, a reliability analysis procedure for structures with the mixture of epistemic and aleatory uncertainties is presented, in which the equivalent normalization method is adopted to solve the upper and lower bound of reliability. The effectiveness of the procedure is demonstrated by a numerical example and an engineering example. The results also show that the reliability interval calculated by the suggested method is almost identical to that solved by conventional method. Moreover, the results indicate that the computational cost of the suggested procedure is much less than that of conventional method. The suggested ET model provides a new way to flexibly represent epistemic uncertainty, and provides an efficiency method to estimate the reliability of structures with the mixture of epistemic and aleatory uncertainties.

Teaching and learning about informal statistical inference using sampling simulation : A cultural-historical activity theory analysis (표집 시뮬레이션을 활용한 비형식적 통계적 추리의 교수-학습: 문화-역사적 활동이론의 관점에 따른 분석)

  • Seo Minju;Seo Yumin;Jung Hye-­Yun;Lee Kyeong-­Hwa
    • Journal of the Korean School Mathematics Society
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    • v.26 no.1
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    • pp.21-47
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    • 2023
  • This study examines the activity system of teaching and learning about informal statistical inference using sampling simulation, based on cultural-historical activity theory. The research explores what contradictions arise in the activity system and how the system changes as a result of these contradictions. The participants were 20 elementary school students in the 5th to 6th grades who received classes on informal statistical inference using sampling simulations. Thematic analysis was used to analyze the data. The findings show that a contradiction emerged between the rule and the object, as well as between the mediating artifact and the object. It was confirmed that visualization of empirical sampling distribution was introduced as a new artifact while resolving these contradictions. In addition, contradictions arose between the subject and the rule and between the rule and the mediating artifact. It was confirmed that an algorithm to calculate the mean of the sample means was introduced as a new rule while resolving these contradictions.

Inference System Fusing Rough Set Theory and Neuro-Fuzzy Network (Rough Set Theory와 Neuro-Fuzzy Network를 이용한 추론시스템)

  • Jung, Il-Hun;Seo, Jae-Yong;Yon, Jung-Heum;Cho, Hyun-Chan;Jeon, Hong-Tae
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.9
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    • pp.49-57
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    • 1999
  • The fusion of fuzzy set theory and neural networks technologies have concentrated on applying neural networks to obtain the optimal rule bases of fuzzy logic system. Unfortunately, this is very hard to achieve due to limited learning capabilities of neural networks. To overcome this difficulty, we propose a new approach in which rough set theory and neuro-fuzzy fusion are combined to obtain the optimal rule base from input/output data. Compared with conventional FNN, the proposed algorithm is considerably more realistic because it reduces overlapped data when construction a rule base. This results are applied to the construction of inference rules for controlling the temperature at specified points in a refrigerator.

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Development of Automatic Rule Extraction Method in Data Mining : An Approach based on Hierarchical Clustering Algorithm and Rough Set Theory (데이터마이닝의 자동 데이터 규칙 추출 방법론 개발 : 계층적 클러스터링 알고리듬과 러프 셋 이론을 중심으로)

  • Oh, Seung-Joon;Park, Chan-Woong
    • Journal of the Korea Society of Computer and Information
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    • v.14 no.6
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    • pp.135-142
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    • 2009
  • Data mining is an emerging area of computational intelligence that offers new theories, techniques, and tools for analysis of large data sets. The major techniques used in data mining are mining association rules, classification and clustering. Since these techniques are used individually, it is necessary to develop the methodology for rule extraction using a process of integrating these techniques. Rule extraction techniques assist humans in analyzing of large data sets and to turn the meaningful information contained in the data sets into successful decision making. This paper proposes an autonomous method of rule extraction using clustering and rough set theory. The experiments are carried out on data sets of UCI KDD archive and present decision rules from the proposed method. These rules can be successfully used for making decisions.

Efficient Extraction of Hierarchically Structured Rules Using Rough Sets

  • Lee, Chul-Heui;Seo, Seon-Hak
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.2
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    • pp.205-210
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    • 2004
  • This paper deals with rule extraction from data using rough set theory. We construct the rule base in a hierarchical granulation structure by applying core as a classification criteria at each level. When more than one core exist, the coverage is used for the selection of an appropriate one among them to increase the classification rate and accuracy. In Addition, a probabilistic approach is suggested so that the partially useful information included in inconsistent data can be contributed to knowledge reduction in order to decrease the effect of the uncertainty or vagueness of data. As a result, the proposed method yields more proper and efficient rule base in compatability and size. The simulation result shows that it gives a good performance in spite of very simple rules and short conditionals.

Aromaticity의 에너지적, 구조적, 자기적 측면에서의 정량적 분석과 경향성 탐색

  • Kim, Hyeon-Dong;Im, Jong-Hyeon;Nam, Yeon-Sik;Lee, Jin-Yong
    • Proceeding of EDISON Challenge
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    • 2017.03a
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    • pp.54-63
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    • 2017
  • 유기 화학에서 Aromatic 화합물은 내부 전자의 비편재화로 인해 부가적인 에너지적 안정성을 얻는 화합물을 일컫는다. 이러한 화합물의 aromaticity를 판단하는 보편적인 기준으로는 Huckel's rule이 널리 알려져 있다. 그러나 Huckel's rule은 복잡한 화합물에서는 적용이 어려울 뿐 아니라 최근에는 Huckel's rule에서 벗어난 aromatic 화합물이 보고되고 있다. 따라서 본 연구에서는 Huckel's rule의 한계를 보완하고자 aromatic 화합물의 에너지적, 구조적, 자기적 성질을 계산화학적 방법으로 분석하고 이를 토대로 체계적인 기준을 제시하였다. 본 연구에서는 동일한 수의 탄소와 수소로 구성된 $C_nH_n$ 형태의 annulene 또는 annulene 라디칼과 이들의 이온을 계산 대상으로 설정하여 homodesmotic stabilization energy (HSE), C-C결합 길이, nucleus-independent chemical shift (NICS)를 산출해내기 위한 density functional theory (DFT) 계산을 수행하였다. 그 결과 aromatic 화합물은 공통적으로 0보다 큰 HSE 값을 가지며 C-C결합 길이가 비교적 일정하고 0보다 작은 NICS 값을 갖는 것을 확인할 수 있었다.

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Orthotropic Theory for the Prediction of Mechanical Performance in Thermally Point-bonded Nonwovens

  • Kim, Han-Seong
    • Fibers and Polymers
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    • v.5 no.2
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    • pp.139-144
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    • 2004
  • The orthotropic theory is applied for the nonwoven fabrics that have a preferred orientation direction, the case if the structure is not isotropic. The polynomial regression analysis is employed to allow the attainment of more statistically meaningful information. A functional form based on the transformation rule is developed for the orthotropic approach. The predictions thus obtained are seen to be in excellent agreements with experimental data and the resulting compliances exhibit meaningful relationships for the processing conditions. The compatibility of the compliances from tensile and shear analyses has been explored prior to a practical application of the four compliances defining the in-plane strain-stress field.

Linguistic Theory in India and Panini (인도의 언어이론과 파니니)

  • 김형엽
    • Lingua Humanitatis
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    • v.1 no.2
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    • pp.123-139
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    • 2001
  • In the history of linguistics in the world the scholars in India could be regarded as the representative linguists, who had provided the cornerstone of the academic development at linguistics. Without looking into the contents of Indian linguistic theories devised and developed in the past it would be almost impossible to account for the origin of descriptive linguistics and historical linguistics. These linguistics trends became full-fledged in 19 and 20 century and are still accepted by a lot of researchers in order to analyze newly revealed languages and train students only coming up the toddling level of linguistic studies. In this paper I will show how far the influence of Indian linguistics has colored the flow of linguistic growth historically. Especially through the analysis of Panini grammar I will prove the intimate relationship between the Indian linguistic theory and the generative grammar - it is the most active theory at present. The methods that Panini applied to constitute the rules like sutra include lots of information, that also could be discovered at the rules postulated in the generative grammar. One of the common features found at both linguistic theories is the simplicity of rule representation. At the generative grammar a rule has to be established without any redundancy. When certain number of sounds like p, b, m show the same phonological. change relevant to lips (labial in linguistic term) different rules need not to be given for each sound separately. It is better to find a way of putting the sounds together in a rule with grouping the 3 sounds with the shared phonetic feature 'labial'. In Panini grammar the form of a rule was decided based on the simplicity, too. For example, sutra 6.1.77 shows the phonological connection between the vowels i, u r 1 and the semi-vowels y, v, r, 1. However, it does not require to postulate 4 individual rules respectively. Instead a rule in which the vowels and the semi-vowels are involved is suggested, and linguistically the rule make it clear that the more simpler the rules will be the better they can reflect the efficiency of human language acquisition. Although the systems introduced at Panini grammar have some sense of distance from the language education itself we cannot deny the fact that the grammar formulates the a turning point of linguistic development. It is essential for us to think over the grammar from the view point of the modem linguistic theories to understand their root and trunk more thoroughly. It will also help us to predict in which way linguistic tendency will proceed to in future.

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