• 사회경제평론
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• v.31 no.3
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• pp.307-346
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• 2018

Gunnar Myrdal has struggled throughout his academic life with the problem of the role of valuations in social sciences. His earlier viewpoint was that valuations should be completely separated from scientific analysis on facts. But he soon fundamentally changed his viewpoint. His later viewpoint was that social scientists should disclose his valuations, for valuations intervene all the processes of scientific researches. Value premises are the valuations coherently reconstructed and manifestly articulated. Myrdal argued that social scientists should disclose value premises and perform his analysis and normative judgement based on the value premises. And the value premises should be derived from the valuations held by the large or significant groups of the society under study, not from the researcher's own valuations. This paper tried to show that Myrdal's later viewpoint must meet the crux, that researcher's own viewpoint must intervene in choosing valuations of particular group among diverse groups in the society under stduy, and in deriving and reconstructing value premises from the valuations of that group. And it argued that the reason why Myrdal met the crux could be explained by that he accepted the emotivism of Axel $H{\ddot{a}}gersr{\ddot{o}}m$. And it proposed some methodological solutions for escaping the crux Myrdal met, while preserving the positive elements of Myrdals' viewpoint.

• Honam Mathematical Journal
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• v.32 no.2
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• pp.217-226
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• 2010

Using the Bu$\c{s}$neag's model ([1, 2, 3]), the notion of pseudo-valuations (valuations) on a ${\mathbf{BCK/BCI}}$-algebra is introduced, and a pseudo-metric is induced by a pseudo-valuation on ${\mathbf{BCK/BCI}}$-algebras. Based on the notion of (pseudo) valuation, we show that the binary operation in ${\mathbf{BCK/BCI}}$-algebras is uniformly continuous.

• Korean Journal of Mathematics
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• v.27 no.1
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• pp.131-140
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• 2019

In this paper we have introduced the concept of pseudo-metric which we induced from a pseudo-valuation on KU-algebras and investigated the relationship between pseudo-valuations and ideals of KU-algebras. Conditions for a real-valued function to be a pseudo-valuation on KU-algebras are provided.

• Journal of Environmental Science International
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• v.15 no.3
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• pp.243-252
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• 2006

The emergy concept was used to valuate the contributions of a tidal flat ecosystem included in the fourth stage reclamation plan for the Youngsan River area to the Korean economy. Emergy contributions of the ecosystem were compared with those of economic valuations performed on the same ecosystem. The tidal flat ecosystem contributed 3.55 million EmW/ha annually. This, however, cannot be compared directly with those of the economic valuations because both methodologies approach the valuation of ecosystems in different perspectives. The emergy methodology is a donor-based valuation in which what goes into making a product or service is measured, while the economic valuation is a receiver-based approach in which human receivers determine the value of an ecosystem product or service. An emergy valuation was conducted for the three ecosystem functions included in the economic valuations to compare the results of both methodologies on the same basis. Fishery production and pollutants removal contributed 9.86 million EmW/ha/yr and 0.88 million EmW/ha/yr, respective1y. The conservation value of the tidal flat ecosystem was 3.55 million EmW/ha/yr. Overall, the emergy valuation that try to include works of both human and nature on the same basis resulted in higher economic contribution of the tidal flat ecosystem than that calculated by the economic methodologies in which only human works are measured based on the willingness-to-pay of people. This study showed that the emergy concept could provide an alternative tool for policy decision-making regarding utilization and conservation of ecosystems by approaching the ecosystem valuation from a different perspective than that of economic methodologies.

• Kyungpook Mathematical Journal
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• v.32 no.1
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• pp.125-130
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• 1992

• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1345-1356
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• 2017

For a given number field K, we show that the ranks of elliptic curves over K are uniformly finitely bounded if and only if the weak Mordell-Weil property holds in all (some) ultrapowers $^*K$ of K. We introduce the nonstandard weak Mordell-Weil property for $^*K$ considering each Mordell-Weil group as $^*{\mathbb{Z}}$-module, where $^*{\mathbb{Z}}$ is an ultrapower of ${\mathbb{Z}}$, and we show that the nonstandard weak Mordell-Weil property is equivalent to the weak Mordell-Weil property in $^*K$. In a saturated nonstandard number field, there is a nonstandard ring of integers $^*{\mathbb{Z}}$, which is definable. We can consider definable abelian groups as $^*{\mathbb{Z}}$-modules so that the nonstandard weak Mordell-Weil property is well-defined, and we conclude that the nonstandard weak Mordell-Weil property and the weak Mordell-Weil property are equivalent. We have valuations induced from prime numbers in nonstandard rational number fields, and using these valuations, we identify two nonstandard rational numbers.

• Asian Journal of Innovation and Policy
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• v.11 no.3
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• pp.277-292
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• 2022

This study examines the implications on the valuations of privately held firms when stakes are acquired by venture capitalists in India. In addition, the effect of fund size and revenue multiple is considered as a determinant of firm value. The study is based on a sample of 1229 rounds of funding during the period 2007-2015. The data was obtained from Venture Intelligence. Three major observations emerged based on an OLS regression. Firstly, it is observed that the stake acquired by venture capitalists has a negative effect on firm value. It supports the belief that when a firm reaches its maximum valuation from the promoter's perspective, there is a tendency to liquidate additional stakes. Secondly, a positive association between the revenue multiple and valuation is recognized. Thirdly, the convex relationship (U-shaped) between the fund size and firm valuations as seen in the case of developed economies, appears to be non-existent in India.

• The Journal of Asian Finance, Economics and Business
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• v.9 no.1
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• pp.1-11
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• 2022

The study incorporates model uncertainty into the private equity (PE) valuation model (SWY model) (Sorensen et al., 2014) to evaluate how model uncertainty distorts the leverage and valuations of PE funds. This study applies a continuous-time model to PE project valuation, modeling the LPs' goal as multiplier preferences provided by Anderson et al. (2003), and assuming that LPs' aversion to model uncertainty causes endogenous belief distortions with entropy as a measure of model discrepancies. Concerns regarding model uncertainty, according to the theoretical model, have an unclear effect on LPs' risk attitude and GPs' decision, which is based on the value of the PE asset. It also demonstrates that model uncertainty lowers the certainty-equivalent valuation of the LPs. Finally, we compare the outcomes of the Full-spanning risk model with the Non-spanned risk model, and they match the intuitive economic reasoning. The most important implication is that model uncertainty will have negative effects on the LPs' certainty-equivalent valuation but has ambiguous effects on the portfolio allocation choice of liquid wealth. Our works contribute to two literature streams. The first is the literature that models the PE funds. The second is the literature introduces model uncertainty into standard finance models.

• The Pure and Applied Mathematics
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• v.1 no.1
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• pp.7-11
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• 1994

Classically, valuation theory is closely related to the theory of divisors and conversely. If D is a Dedekined ring and K is its quotient field, then we can clearly construct the theory of divisors on D (or K), and then we can induce all the valuations on K ([3]). In particular, if K is a number field and A is the ring of algebraic integers, then since Z is Dedekind, A is a Dedekind rign and K is the field of fractions of A.(omitted)

• Kyungpook Mathematical Journal
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• v.62 no.1
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• pp.57-67
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• 2022

In the present study, we introduce a valuation of ternary semiring on an ordered abelian group. Motivated by the construction of valuation rings, we study some properties of ideals in ternary semiring arising in connection with the valuation map. We also explore ternary valuation semirings for a noncommuative ternary division semiring. We further consider the notion of convexity in a ternary semiring and how it is reflected in the valuation map.