• Journal of the Korean Applied Science and Technology
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• v.15 no.4
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• pp.27-34
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• 1998

The natural body foam product which palm oil is added to this product, differs from products for clothes and Kitchen detergent, industrial and domestic detergent, and It has a various characteristics as a soft detergent for bath and hair product. Up to now, vidal sassoon product which imports form overseas and sells in our country, increases every year in consumption quantity. The development of this product tested to consider the quality of product in the effect of import transfer. First of all, the experiment of this product tested the fundamental items of pH, foam formation force, the moisture effect of product, the biodegradation degree of product. In case of palm oil, when it was added to this product in 0.25wt%, we could get experiment results that pH appeared in 6.2, foam formation force in product 1wt% solution appeared in 104ml per 30sec, the skin moisture effect of product appeared in incleasing from 82 a.u to 90 a.u within one hour since we have used the product, the biodegradation degree of surfactant appeared in 96.7%. According to the experiment result of product, we could know the fact that it has a high quality in comparison with other products.

• Journal of applied mathematics & informatics
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• v.33 no.5_6
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• pp.545-557
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• 2015

A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, we define two new operation on vague graphs namely normal product and tensor product and study about the degree of a vertex in vague graphs which are obtained from two given vague graphs G₁ and G₂ using the operations cartesian product, composition, tensor product and normal product. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large vague graph as a combination of small, vague graphs and to derive its properties from those of the smaller ones.

• Journal of applied mathematics & informatics
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• v.34 no.3_4
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• pp.179-192
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• 2016

In this paper, we introduce product interval-valued fuzzy graphs and prove several results which are analogous to interval-valued fuzzy graphs. We conclude by giving properties for a product interval-valued fuzzy graph.

• Journal of applied mathematics & informatics
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• v.8 no.3
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• pp.909-917
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• 2001

In this paper we define product between fuzzy ${H_v}-ideals$ of given ${H_v}-rings$. we consider the fundamental relation ${\gamma}^*$ defined on and ${H_v}-ring$ and give some properties of the fundamental relations and fundamental rings with respect to the product of fuzzy ${H_v}-ideals$.

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.297-310
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• 2005

The concept of the Moore-Penrose inverse in an indefinite inner product space is introduced. Extensions of some of the formulae in the Euclidean space to an indefinite inner product space are studied. In particular range-hermitianness is completely characterized. Equivalence of a weighted generalized inverse and the Moore-Penrose inverse is proved. Finally, methods of computing the Moore-Penrose inverse are presented.

• Journal of applied mathematics & informatics
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• v.35 no.3_4
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• pp.399-411
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• 2017

We first provide the linear operator equations corresponding to the Tikhonov regularization image denoising problems with different regularization terms, and then we propose how to choose Kronecker product preconditioners which are required for accelerating the $G{\ell}$-PCG method. Next, we provide how to apply the $G{\ell}$-PCG method with Kronecker product preconditioner to the linear operator equations. Lastly, we provide numerical experiments for image denoisng problems to evaluate the effectiveness of the $G{\ell}$-PCG with Kronecker product preconditioner.

• Journal of applied mathematics & informatics
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• v.36 no.5_6
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• pp.531-540
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• 2018

We first show how to construct the linear operator equations corresponding to Tikhonov regularization problems for solving image deblurring problems with nearly separable point spread functions. We next propose a Kronecker product preconditioner which is suitable for the global PCG method. Lastly, we provide numerical experiments of the global PCG method with the Kronecker product preconditioner for several image deblurring problems to evaluate its effectiveness.

• Journal of applied mathematics & informatics
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• v.9 no.1
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• pp.125-133
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• 2002

Recently, Several inequalities Khatri-Rao Products of two four partitioned blocks positive definite real symmetry matrices are established by Liu in[Lin. Alg. Appl. 289(1999): 267-277]. We extend these results in two ways. First, the results are extended to two any partitioned blocks Hermitian matrices. Second, necessary and sufficient conditions under which these inequalities become equalities are presented.

• Journal of the Korean Society of Clothing and Textiles
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• v.26 no.8
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• pp.1196-1204
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• 2002

This research was to see if the fashion product ads are standardized or differentiated, and to find what were the determinants if any differentiation existed. The purpose of this study was to identify cultural characteristics significant on marketing fashion produce. In addition, the relative importance of product appeals between rational and emotional in the fashion ads was examined. Hofstede's(l991) three cultural characteristics dimensions such as individualism-collectivism, power distance, masculinity-femininity were used. Content analysis was applied in the study. Magazine ads of apparel, cosmetics and accessories were collected from France, Japan, Korea and the US in 1999-2000. Cultural characteristics of the fashion ads were evaluated and compared in terms of country, product type and product involvement. Also ten consumption appeals were examined for county and product type. ANOVA, Duncan test and $X^2$ test were applied to analyze data. The results were shown as follows: First, all the cultural characteristics such as individualism-collectivism, power distance, and femininity-masculinity were different among countries. Second, two product appeals were significantly different among countries. Hedonic appeals were dominant fur France and the US while those were not for Korea and Japan. Third, product involvement level had significant impact on power distance characteristic and product appeals. Ads of high involvement fashion goods showed larger power distance and more emotional appeals. In conclusion, global fashion ads should be differentiated in terms of some cultural characteristics and product appeals.

• Journal of applied mathematics & informatics
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• v.6 no.1
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• pp.227-238
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• 1999

We introduce several decompositons of generalized trans-formation semigroups and investigate some of their algebraic struc-tures.