• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.553-561
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• 2007

In this paper we propose the concept of fuzzy basis of fuzzy submachine, which is the generalized form of crisp basis of submachine, and we extend the system of generators and free subset to fuzzy forms, from which we prove that minimal system of fuzzy generators, maximally free fuzzy subset, and fuzzy basis are equivalent forms.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1995.10b
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• pp.131-138
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• 1995

A new technique using integer programming based on fuzzy multi-criteria function is proposed for generator maintenance scheduling. Minimization maintenance delay cost and maximization reserve power are considered for fuzzy multi-criteria function. To obtain an optimal solution for generator maintenance scheduling under fuzzy environment, fuzzy multi-criteria integer programming is used. In the maintenance scheduling, a characteristic feature of the presented approach is that the crisp constraints with uncertainty can be taken into account by using fuzzy set theory and so more flexible solution can be obtained. The effectiveness of the proposed approach is demonstrated by the simulation results.

• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.4
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• pp.546-549
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• 2007

When we deal with crisp data, it is common to find the correlation between variables. In this paper, we propose a method to calculate the correlation coefficient for intuitionistic fuzzy data, by adopting the concepts from the conventional statistics. The value of the correlation coefficient computed from our formula not only provides us the strength of the relationship of intuitionistic fuzzy sets, but also shows that the intuitionistic fuzzy sets are positively or negatively related.

• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.4
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• pp.557-562
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• 2007

This paper extends the work of Maji et al. (2001) to present the concept of interval-valued fuzzy soft sets and to present an algorithm for finding where the degree of membership are represented by interval values in [0, 1]. The proposed method is more flexible than the one presented in Maji et at. (2001) due to the fact that it allows the degrees of membership of object for parameters to be represented by interval-values rather than crisp real values between zero and one.

• Journal of the Korean Data and Information Science Society
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• v.17 no.3
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• pp.821-830
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• 2006

This paper develops support vector based fuzzy linear and nonlinear regression models and applies it to forecasting the exchange rate. We use the result of Tanaka(1982, 1987) for crisp input and output. The model makes it possible to forecast the best and worst possible situation based on fewer than 50 observations. We show that the developed model is good through real data.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.15 no.3
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• pp.208-215
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• 2015

Since upper and lower approximations could be induced from the rough set structures, rough sets are considered as approximations. The concept of fuzzy rough sets was proposed by replacing crisp binary relations with fuzzy relations by Dubois and Prade. In this paper, we introduce and investigate some properties of intuitionistic fuzzy rough approximation operators and intuitionistic fuzzy relations by means of topology.

• Korean Journal of Mathematics
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• v.30 no.1
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• pp.11-23
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• 2022

In this paper, the concept of pseudo - complementation on a generalized almost distributive fuzzy lattices (GADFLs) is introduced as a fuzzification of the crisp concept pseudo - complementation on a generalized almost distributive lattices. It is also established a one - to - one correspondence between the pseudo - complemented GADFL (R, A), R with 0 and the left identity element of R.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1993.06a
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• pp.1086-1089
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• 1993

The paper deal with the differences between a fuzzy logic controller with a complete linguistic description and one with an incomplete linguistic description. The conditions to get a complete crisp controller by using a fuzzy logic controller with incomplete description are analyzed, and an application to the control of an analog PLL circuit is described, [1].

• Journal of the Korean Mathematical Society
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• v.60 no.6
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• pp.1171-1213
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• 2023

This work is a continuation of Crisp's work on automorphism groups of CLTTF Artin groups, where the defining graph of a CLTTF Artin group is connected, large-type, and triangle-free. More precisely, we provide an explicit presentation of the automorphism group of an edge-separated CLTTF Artin group whose defining graph has no separating vertices.

• Journal of the Korean Geotechnical Society
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• v.21 no.1
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• pp.81-91
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• 2005

This paper is the results of experimental and numerical works on the investigating design factors influencing the bearing capacity, the ratio of stress concentration, and the failure mechanism of the clay ground improved with sand compaction piles (SCP). In order to find the behavior of the clay ground improved with SCP, extensive centrifuge model experiments were carried out for each of the SCP replacement ratio of 20, 40, and $70\%$, the non-plastic fine contents in sand of 5, 10, and $15\%$, and the ratio of the improved width to the loaded area (W/B) of 1, 2, and 3. The commertially available software of FEM, CRISP, was used to analyze test results by performing numerical estimations. In these numerical analyses the sand compaction piles and the clay ground were simulated as a linear elastic and plastic constitutive model and the modified Cam-clay model, based on Critical State Soil Mechanics, respectively.