• Korean Journal of Mathematics
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• 제13권2호
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• pp.203-208
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• 2005

We define a product fuzzy group, which is weaker than the standard fuzzy group defined by Rosenfeld, and characterize some properties of product fuzzy groups, product fuzzy ideals, and product fuzzy subrings.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.1181-1198
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• 2022

In this paper we are concerned with the number of fuzzy subgroups of a finite abelian p-group ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ of rank three with order p^m+n+ℓ. We obtain a recurrence relation for the number of fuzzy subgroups of a finite abelian p-group ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ. In order to show that using this recurrence relation, one can find explicit formulas for the number of fuzzy subgroups of ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ consecutively, we give explicit formulas for the number of fuzzy subgroups of ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ where (n, ℓ) = (1, 1), (2, 1), (3, 1), (4, 1), (5, 1), (2, 2), (3, 2), (4, 2), (5, 2).

• 대한수학회논문집
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• 제34권4호
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• pp.1049-1067
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• 2019

In this paper, we discuss the number of distinct fuzzy subgroups of the group ${\mathbb{Z}}_{p^n}{\times}{\mathbb{Z}}_{q^m}{\times}{\mathbb{Z}}_r$, m = 1, 2, 3 where p, q, r are distinct primes for any $n{\in}{\mathbb{Z}}^+$ using the criss-cut method that was proposed by Murali and Makamba in their study of distinct fuzzy subgroups. The criss-cut method first establishes all the maximal chains of the subgroups of a group G and then counts the distinct fuzzy subgroups contributed by each chain. In this paper, all the formulae for calculating the number of these distinct fuzzy subgroups are given in polynomial form.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제5권1호
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• pp.157-176
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• 2011

An interest-based P2P constructs the peer connections based on similarities for efficient search of resources. A clustering technique using peer similarities as data is an effective approach to group the most relevant peers. However, the separation of groups produced from clustering lowers the scalability of a P2P network. Moreover, the interest-based approach is only concerned with user-level grouping where topology-awareness on the physical network is not considered. This paper proposes an efficient scalable search for the interest-based P2P system. A scalable multi-ring (SMR) based on fuzzy clustering handles the grouping of relevant peers and the proposed scalable search utilizes the SMR for scalability of peer queries. In forming the multi-ring, a minimized route function is used to determine the shortest route to connect peers on the physical network. Performance evaluation showed that the SMR acquired an accurate peer grouping and improved the connectivity rate of the P2P network. Also, the proposed scalable search was efficient in finding more replicated files throughout the peer network compared to other traditional P2P approaches.

• Journal of applied mathematics & informatics
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• 제5권2호
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• pp.285-292
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• 1998

We introduce the notion of TL-p-subgroups that is an ex-tension of the notion of fuzzy p=subgroups and show that a torsion TL-subgroup of an Abelian group with T=${\bigwedge}$ can be written as the intersection of its minimal TL-p-subgroups.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1998년도 춘계학술대회 학술발표 논문집
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• pp.3-6
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• 1998

We introduce the notion of TL-p-subgroups that is an extension of the notion of fuzzy p-subgroups and show that a torsion TL-subgroup of an Abelian group with T=∧ can be written as the intersection of its minimal TL-p-subgroups.

• Investigative Magnetic Resonance Imaging
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• 제20권3호
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• pp.158-166
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• 2016

Purpose: To understand clinical significance of irregular interface between meningioma and adjacent brain parenchyma in predicting histological grading of tumor, focusing on brain parenchymal invasion. Materials and Methods: Pathologically confirmed 79 cases with meningiomas with pathological reports about the presence of parenchymal invasion were included. We defined the presence of interface irregularity as either spiculations or fuzzy margins between the tumor and brain parenchyma. We counted number of spiculations and measured ratio of fuzzy margin length to whole length of mass with consensus of two neuroradiologists. We classified the patients into Present group and Absent group, and the two groups were compared by using the Mann-Whitney U test. Statistical correlations between the presence of an interface irregularity and brain parenchymal invasion by the tumor as well as meningioma histological grade were tested with chi-square test. The optimal cutoff values of spiculation numbers and the ratio of fuzzy margins were determined. The sensitivity and specificity of number of spiculations, ratio of fuzzy margin and the presence of irregular interface as combined parameters for predicting the parenchymal invasion were calculated using ROC curve analysis. Results: Statistically significant differences were noted between the Present and Absent groups for number of spiculations and ratio of fuzzy margin (P = 0.038 and P = 0.028, respectively). The optimal cutoff value for number of spiculations (> 4.5 with 61.1% sensitivity and 68.9% specificity) and the ratio of fuzzy margin (> 0.24 with 66.7% sensitivity and 65.6% specificity) were determined. The sensitivity and specificity of interface irregularity as the combined parameters were 72% and 59%, respectively. The interface irregularity between tumor and brain parenchyma significantly correlated with not only brain parenchymal invasion (P = 0.001) and but also histological grade (P < 0.001). Conclusion: The interface irregularity between tumor and brain parenchyma in MRI can be a strong predictive factor for brain parenchymal invasion and high grade meningioma.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2002년도 하계학술대회 논문집 D
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• pp.2152-2154
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• 2002

신경망을 이용한 적응제어는 학습능력에 따라 외란작용에 스스로 대처하고, 정밀한 제어가 가능하지만 학습파라미터가 최적화되기 전에는 불안정한 제어응답을 보인다. 퍼지논리는 전문가의 경험을 논리화한 것으로 제어특성은 좋으나, 외란에 대한 적응력이 부족하여 계속적인 오프셋이 발생할 수 있다. 따라서, 퍼지와 신경망을 시스템의 동특성에 따라 혼용한 제어방식을 제시하고, 시뮬레이션으로 시간지연이 있는 CSTH의 온도와 비선형 공정인 pH 중화공정에 적용하여 단순신경망 제어어보다 개선된 제어응답 특성을 얻었다.

• 대한교통학회지
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• 제18권1호
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• pp.75-85
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• 2000

기존모형을 이용한 연구들은 최적화기법에 있어서 의사결정을 지원할 수 있는 최적해를 도출해내기 위해 목적식이나 제약조건식에 정확한 데이터 값을 입력시켜 최적해를 계산하였다. 또한 현실세계의 불확실하고 주관적인 상황들은 확률적 불확실성으로 간주하여 주관적인 상황들은 배제하였다. 즉, 이러한 최적해는 의사결정자가 의사결정상의 위험을 최소화하기 위하여 경영과학적인 방법들을 적용하는 과정에서 기존모형들의 목적함수를 완전하게 만족시켜 주는 해라고 할 수 있다. 이에 따라 수요량의 변화 및 기타 변수들의 변화에 적절히 대응할 수 없었으며, 입지의사결정자에게 입지결정에 대한 정보의 부족 등으로 선택의 기회를 폭넓게 제공하지 못하는 문제가 있었다. 이러한 배경하에서 본 연구는 의사결정분석에서 엄격히 주어진 제약조건하에서의 목적식을 최적화하는 문제로서 제약조건을 반드시 만족시켜야만 했던 기존의 의사결정문제를 바탕으로, 애매한 환경에서의 의사결정을 주관적인 측면에서 가장 합리적으로 이루어 보려는 의도로 Zadeh교수가 제안한 퍼지이론을 이용하여 물류단지 입지 및 규모결정모형을 개발하고자 하였다. 모형의 현실적 적합성 및 적용가능성을 분석한 결과, 첫째, 입지 및 규모결정시 기존의 연구에서 제시할 수 없었던 현실세계의 유연적이고 융통성있는 측면을 반영하여 입지 및 규모를 결정해 낼 수 있었으며 둘째, 기존의 입지결정 모형에 비해 상대적으로 많은 의사결정 상황을 최종의사결정 자에게 다양한 정보 및 선택의 기회를 제공해 줄 수 있었다. 따라서 이 결과가 반드시 최적의 입지를 제시하고 있다고는 단정할 수 없으나 모든 자료들이 빠짐없이 정확하게 모형에 반영될 경우 현실적 상황에서 모형적용이 가능하다고 하겠으며 이 모형은 현실상황에서 발생하는 기타시설의 입지선정 문제에도 적용할 수 있을 것이라고 판단된다. 수 있을 뿐 아니라, 평가된 지표가 신뢰할 만한 수준이 아니라면, 추정된 결과를 보정할 수 있는 가능성을 제시하고자 한다.or objection to the criticism of eating dog meat is that male and female commonly answered most that ′As dog meat food Is our traditional food culture. it is not the problem to be found fault with by others.′ The second reason for that is followed by iris deliciousness.up compared the service quality perception factor of the food service provider. The result was that the group having both the " will buy the service again" and "will suggest to others" criteria, that is, with higher loyalty, tend to have higher points than other group s in the dimension of ′Employee attitude′ and ′ Cleanliness′(p〈0.05), which means these two dimensions are closely related to customer loyalty. 3) From a regression analysis for the service quality perception level of the food service provider and overall satisfaction, it has been found that :

• Asian Pacific Journal of Cancer Prevention
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• 제15권14호
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• pp.5721-5727
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• 2014

Objectives: To evaluate the performance of clustering methods used in the prognostic assessment of categorical clinical data for hepatocellular carcinoma (HCC) patients in China, and establish a predictable prognostic nomogram for clinical decisions. Materials and Methods: A total of 332 newly diagnosed HCC patients treated with hepatic resection during 2006-2009 were enrolled. Patients were regularly followed up at outpatient clinics. Clustering methods including the Average linkage, k-modes, fuzzy k-modes, PAM, CLARA, protocluster, and ROCK were compared by Monte Carlo simulation, and the optimal method was applied to investigate the clustering pattern of the indices including platelet count, platelet/lymphocyte ratio (PLR) and serum aspartate aminotransferase activity/platelet count ratio index (APRI). Then the clustering variable, age group, tumor size, number of tumor and vascular invasion were studied in a multivariable Cox regression model. A prognostic nomogram was constructed for clinical decisions. Results: The ROCK was best in both the overlapping and non-overlapping cases performed to assess the prognostic value of platelet-based indices. Patients with categorical platelet-based indices significantly split across two clusters, and those with high values, had a high risk of HCC recurrence (hazard ratio [HR] 1.42, 95% CI 1.09-1.86; p<0.01). Tumor size, number of tumor and blood vessel invasion were also associated with high risk of HCC recurrence (all p< 0.01). The nomogram well predicted HCC patient survival at 3 and 5 years. Conclusions: A cluster of platelet-based indices combined with other clinical covariates could be used for prognosis evaluation in HCC.