• International Journal of Fuzzy Logic and Intelligent Systems
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• 제15권2호
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• pp.132-136
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• 2015

In this paper, we introduce the notion of single and set-valued maps satisfying OWC property in IFMS using implicit relation. Also, we obtain common fixed point theorems for single and set-valued maps satisfying OWC properties in IFMS using implicit relation.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제13권4호
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• pp.249-254
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• 2006

Category Fuz of fuzzy sets has a similar function to the topos Set. But Category Fuz forms a weak topos. We show that supports split weakly(SSW) and with some properties, implicity axiom of choice(IAC) holds in weak topos Fuz. So weak axiom of choice(WAC) holds in weak topos Fuz. Also we show that weak extensionality principle for arrow holds in weak topos Fuz.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제17권2호
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• pp.137-143
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• 2010

Category Fuz of fuzzy sets has a similar function to the Category Set. But it forms a weak topos. We study a natural number object and a weak natural number object in the weak topos Fuz. Also we study the weak natural number object in $Fuz^C$.

• Korean Journal of Mathematics
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• 제28권1호
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• pp.75-87
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• 2020

Category F Rel of fuzzy sets and relations does not form a topos. J. Harding, C. Walker and E. Walker [3] showed that FRel has a tensor product and V. Durov [1] introduced basic definitions related to the notion of vectoid endowed with a tensor product. In this paper, we show that FRel forms a quasi topos. Also we show that there are quasi power objects in FRel. And by the use of the concepts of FRel and quasi topos, we get the logic operators of FRel. Moreover, we show that FRel forms a vectoid.

• 호남수학학술지
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• 제34권2호
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• pp.135-144
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• 2012

falling subalgebra/ideal of a BCK/BCI-algebra is introduced. Relations between falling subalgebras and falling ideals are given. Relations between fuzzy subalgebras/ideals and falling sub-algebras/ideals are provided. A characterization of a falling ideal is established.

• 대한수학회논문집
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• 제22권2호
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• pp.227-234
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• 2007

At first, we consider nonnegative monotone interval-valued set functions and nonnegative measurable interval-valued functions. In this paper we investigate some properties and structural characteristics of the monotone interval-valued set function defined by an interval-valued Choquet integral.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제9권1호
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• pp.1-3
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• 2009

Recently, Carlsson, Full\acute{e}$r and Majlender [1] presented the concept of possibilitic correlation representing an average degree of interaction between marginal distribution of a joint possibility distribution as compared to their respective dispersions. They also formulated the weak and strong forms of the possibilistic Cauchy-Schwarz inequality. In this paper, we define a new probability measure. Then the weak and strong forms of the Cauchy-Schwarz inequality are immediate consequence of probabilistic Cauchy-Schwarz inequality with respect to the new probability measure.

• Journal of the Korean Data and Information Science Society
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• 제17권3호
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• pp.991-997
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• 2006

Recently, Liu (2005) proposed a special type of weighting function under a given preference index level with the minimal variability similar to the minimal variability OWA operator weights problem proposed by Fuller and Majlender (2003). He solved this problem using a result of classical optimal control theory. In this note, we give a direct elementary proof of this problem without using any known results.

• 디지털융복합연구
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• 제15권6호
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• pp.391-398
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• 2017

본 논문에서는 "퍼지 컨트롤 언어를 이용한 공격 특징 선택기반 네트워크 침입탐지 시스템"[1]과 "RNN을 이용한 공격 분류를 위한 지능형 침입탐지 시스템 모델"[2]의 성능을 비교 하였다. 이 논문에서는 KDD CUP 99 데이터 셋[3]을 이용하여 두 기법의 침입 탐지 성능을 비교하였다. KDD CUP 99 데이터 셋에는 훈련을 위한 데이터 셋과 훈련을 통해 기존의 침입을 탐지 할 수 있는 테스트 데이터 셋이 있다. 또한 훈련 데이터 및 테스트 데이터에 존재 하지 않는 침입의 유형을 탐지할 수 있는가를 테스트 할 수 있는 데이터도 존재한다. 훈련 및 테스트 데이터에서 좋은 침입탐지 성능을 보이는 두 개의 논문을 비교하였다. 비교한 결과 존재하는 침입을 탐지 하는 성능은 우수하지만 기존에 존재하지 않는 침입을 탐지 하는 성능은 부족한 부분이 있다. 공격 유형 중 DoS, Probe, R2L는 퍼지를 이용하는 것이 탐지율이 높았고, U2L은 RNN을 이용하는 것이 탐지율이 높았다.

• 전기전자학회논문지
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• 제22권3호
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• pp.680-692
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• 2018

Children's health is interesting to parents and society. A system that assists to monitor the development of their children and gives nutritional advices is an interesting of parents. In this study, we present a system that allows to track the heights and weights of a child since he/she was born up to adulthood, to predict his age of puberty, and to provide nutritional advice. Particularly, it predicts the height in near future and the adult stature for detecting the child with abnormal development. We applied Sager's model for predicting the height in near future by using interpolation and regression techniques before puberty. After determining the puberty time, we proposed a model for predicting the height. Then we applied fuzzy logic for evaluating the health status and providing nutritional advice. Our system predicted stature in near future with error bound of $1.7361{\pm}0.0397cm$ in girls and $2.4020{\pm}0.0799cm$ in boys. Our model also gave a reliable adult stature prediction with error bound of $0.3507{\pm}0.2808cm$ in girls and $1.3414{\pm}0.7024cm$ in boys. At the same time, the nutrition was provided appropriately in terms of protein, lipid, glucid. We implemented a program based on this research. Our system promises to improve the health of every child.