• Journal of the Korean Institute of Intelligent Systems
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• v.18 no.3
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• pp.401-405
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• 2008

We investigate the properties of fuzzy relations and $\odot$-equivalence relation on a stsc quantale lattice L and a commutative cqm-lattice. In particular, fuzzy relations preserve(*, \otimes$)-equivalence relations where $\otimes$ are compositions, $\Rightarrow$ and $\Leftarrow$.

• Honam Mathematical Journal
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• v.45 no.3
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• pp.555-571
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• 2023

The main purpose of this paper is to introduce the concept of asymptotical deferred statistical equivalence in the Wijsman sense for double set sequences. Also, we give some properties of this concept and prove some theorems associated with this concept. Furthermore, we examine the connection between the concepts of asymptotical deferred statistical and Cesàro equivalence in the Wijsman sense for double set sequences.

• Journal of ILASS-Korea
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• v.25 no.1
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• pp.21-26
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• 2020

The objective of this work is to numerically reveal the effect of equivalence ratio change on the simultaneous reduction of NO_X and soot emissions from the simulated-EGR compression ignition engine containing CO₂. An experiment was conducted by using a single-cylinder common-rail injection system engine, an intake control system, and exhaust emissions analyzers. The numerical analysis results were validated under the same experimental conditions. To investigate the effect of equivalence ratio by simulated-EGR containing CO₂, the O₂, N₂, and CO₂ mole fraction were changed in the initial air conditions to the cylinder. The results were analyzed in terms of peak cylinder pressure, indicated mean effective pressure, indicated specific nitrogen oxide, and indicated specific soot. It was revealed that ignition delay characteristics and heat release rate (ROHR) characteristics were not significantly different according to the equivalence ratio. However, as the equivalence ratio increased from 0.68 to 0.83, the maximum combustion pressure and IMEP decreased by about 6.5% and 9.4%, respectively. In the case of ISFC, as is well known, the trend is opposite of IMEP. In the case of ISNO, as the equivalence ratio increased, less NO was generated, and as the equivalence ratio increased by 0.05, the ISSoot value of about 10% increased.

• Journal of the Korean Mathematical Society
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• v.38 no.6
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• pp.1157-1166
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• 2001

This paper answers some old questions about approximate similarity and raises new ones. We provide positive evidence and a technique for finding negative evidence on the question of whether approximate similarity is the equivalence relation generated by approximate equivalence and similarity.

• Bulletin of the Korean Mathematical Society
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• v.42 no.4
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• pp.691-701
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• 2005

We study the strong stability for linear differential systems in connection with too-similarity, and investigate the asymptotic equivalence between linear differential systems.

• Bulletin of the Korean Mathematical Society
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• v.35 no.4
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• pp.741-755
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• 1998

We prove the asymptotic lens equivalence in manifolds without conjugate points. By using this property we show that under a metric condition of asymptotically Euclidean and the curvature condition decaying faster than quadratic, any surface $(R^2,g)$ without conjugate points is Euclidean.

• Journal of the Chungcheong Mathematical Society
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• v.20 no.3
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• pp.311-320
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• 2007

We obtain a discrete analogue of Nohel's result in [5] about asymptotic equivalence between perturbed Volterra system and unperturbed system.

• Journal of the Korean Mathematical Society
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• v.37 no.2
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• pp.225-243
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• 2000

We explain the notion of complete system and how it naturally arises from the equivalence problem of G-structures. Then we construct a complete system of 3rd order for the infinitesimal CR automorphisms of CR manifold of nondegenerate Levi form.

• Journal of applied mathematics & informatics
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• v.12 no.1_2
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• pp.429-436
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• 2003

We study the asymptotic equivalence between the nonlinear differential system $\chi$'(t) = f(t, $\chi$(t)) and its variational system ν'(t) = f$\chi$(t, 0)ν(t) by using the comparison principle and notion of strong stability.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.5 no.4
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• pp.322-326
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• 2005

We investigate the properties of A-transformations, P-transformations and L-transformations in metric spaces, t-norms and T-fuzzy equivalence relations.