• Journal of applied mathematics & informatics
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• v.25 no.1_2
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• pp.85-107
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• 2007

In this paper, we develop a fairly large number of sets of global semiparametric sufficient efficiency conditions under various generalized (${\theta},{\eta},{\rho}$)-V-invexity assumptions for a multiobjective fractional programming problem involving arbitrary norms.

• Journal of applied mathematics & informatics
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• v.24 no.1_2
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• pp.105-126
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• 2007

The purpose of this paper is to construct several parametric duality models and prove appropriate duality results under various generalized (${\theta},{\eta},{\rho}$)-V-invexity assumptions for a discrete minmax fractional programming problem involving arbitrary norms.

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

The purpose of this paper is to develop a fairly large number of sets of global parametric sufficient optimality conditions under various generalized $({\theta},\;{\eta},\;{\rho})-V-invexity$ assumptions for a discrete minmax fractional programming problem involving arbitrary norms.

• Journal of the Korean Mathematical Society
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• v.50 no.4
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• pp.727-753
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• 2013

In this paper, we introduce three new broad classes of second-order generalized convex functions, namely, ($\mathcal{F}$, $b$, ${\phi}$, ${\rho}$, ${\theta}$)-sounivex functions, ($\mathcal{F}$, $b$, ${\phi}$, ${\rho}$, ${\theta}$)-pseudosounivex functions, and ($\mathcal{F}$, $b$, ${\phi}$, ${\rho}$, ${\theta}$)-quasisounivex functions; formulate eight general second-order duality models; and prove appropriate duality theorems under various generalized ($\mathcal{F}$, $b$, ${\phi}$, ${\rho}$, ${\theta}$)-sounivexity assumptions for a multiobjective programming problem containing arbitrary norms.

• Journal of the Korean Mathematical Society
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• v.41 no.5
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• pp.821-864
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• 2004

Both parametric and parameter-free necessary and sufficient optimality conditions are established for a class of nondiffer-entiable nonconvex optimal control problems with generalized fractional objective functions, linear dynamics, and nonlinear inequality constraints on both the state and control variables. Based on these optimality results, ten Wolfe-type parametric and parameter-free duality models are formulated and weak, strong, and strict converse duality theorems are proved. These duality results contain, as special cases, similar results for minmax fractional optimal control problems involving square roots of positive semi definite quadratic forms, and for optimal control problems with fractional, discrete max, and conventional objective functions, which are particular cases of the main problem considered in this paper. The duality models presented here contain various extensions of a number of existing duality formulations for convex control problems, and subsume continuous-time generalizations of a great variety of similar dual problems investigated previously in the area of finite-dimensional nonlinear programming.

• Transactions of the Korean Society of Mechanical Engineers
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• v.14 no.6
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• pp.1382-1390
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• 1990

Accurate load-carrying capacities and moment distributions of thin circular plates are obtained for clamped or simply-supported boundary condition under various concentrated circular loadings. The material is regarded as perfectly-plastic based on an arbitrary yield function such as the Tresca yield function, the Johansen yield function, and the farmily of .betha.-norms which possesses the von Mises yield function and the Frobenius norm. To obtain the lower bound solutions, a maximization formulation is derived and implemented for efficient numerical calculation with a finite difference method and the modified Newton's method. The numerical results demonstrate plastic collapse behavior of circular plates and provide their design criteria.

• Journal of Korean Philosophical Society
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• v.148
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• pp.269-289
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• 2018

This article is designed to help ensure that "Laotzu's Tao and Saussure's Linguisticse's Linguistics" can meet properly. To carry out this project, I asked how to understand Laotzu's 'not the eternal Name(非常名)'. Comparing Kongzi's 'the Rectification of name(正命)' with Laotzu's 'not the eternal Name', The meaning of the two concepts becomes clear. Kongzi's 'the Rectification of name' is political philosophy to restore etiquette through language order. In comparison, Laotzu's 'not the eternal Name' refers to Randomness[arbitraire] of the symbol. It shows that the order of languages can be dismantled, and that the structure, norms, and etiquette of society, which are established by language order, can be dismantled. Laotzu's 'not the eternal Name' is a logic that defies language as an institution, as a symbolism, and as a logic of disintegration. To illustrate this point, Searsure's Linguistics was brought in for discussion. In Saussure's Linguistics, the arbitrary nature of the symbol is the same as the Lotzu's 'Not the eternal Name'. Three arguments were used to elucidate the logic of the resistance and the logic of Deconstruct of the Language structure. First, I explained that the discussion of 'Name' was not just about 'the name of an object' but about the system, laws and norms of a society. Second, I explained the argument that language order is a social institution and a social structure by taking the words Saussure and Lacon. Third, I explained that 'not the eternal Name' is an important term that reveals the arbitrary and arbitrary relationship between the signifiant and the signifie. These arguments explain that Laotzu's 'not the eternal Name' is the logic of dismantling the language as a system and as the symbolic.

• THE INTERNATIONAL COMMERCE & LAW REVIEW
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• v.12
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• pp.615-641
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• 1999

Trade and the environment emerged as a major and complex issue for trade negotiators in the final stages of the Uruguay Round negotiations. The agreements and other international measures employing trade measures and trade sanctions for achieving global environmental objectives are Vienna Convention on the Protection of the Ozone Layer(1985), the Montreal Protocol on Substances that deplete the Ozone Layer(1987), The Framework Convention on Climate Change(1992), the Convention on Biological Diversity(1992), the Basel Convention on the Control of Transboundary Movement of Hazardous Waste and their Disposal(1992), the Convention on International Trade in Endangered Species of Wild Faunna and Flora(1975), the Rio Declaration, the Agenda 21, etc. The texts of the World Trade Organization(WTO) incorporated certain provisions which were designed to reflect some of the environmental concerns are Trade-Related Aspects of Intellectual Properity Rights(TRIPs), Trade-Related Investment Measures (TRIMs), the General Agreement on Trade in Services(GATS), and Technical Barriers to Trade(TBT) There is the possibility of conflict between multilateral environmental agreements and WTO agreements granting waivers against trade measures and sanctions. This remains a possibility, especially between countries which are Member of WTO and which are not Members of the relevant multilateral environment agreements, and countries which are Members of both the WTO and the relevant MEAs. Measures taken under the trade-related provisions of MEAs could potentially give rise to conflicts under obligations arising in WTO texts. If the parties in dispute are WTO members while they are not members of MEAs, the WTO provisions can be granted a certain priority in terms of international norms and vice versa. When the parties concerned are both WTO members and MEAs, it will be rational to grant the WTO provisions a priority. However, such measures should neither constitute a means of arbitrary or unjustifiable discrimination between countries where similar conditions prevail, nor create a disguised restriction on trade. Also any trade measures taken should be necessary to prevent developments in trade from endangering the effectiveness of an MEA and they should be proportional and least trade restrictive.