• Journal of applied mathematics & informatics
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• v.27 no.3_4
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• pp.773-778
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• 2009

Recently, Xue et al. [Computers and Mathematics with Applications 55 (2008) 1215-1224] proposed a formula for the expected value of a function of a fuzzy variable based on the assumption that the fuzzy variable has a continuous membership function. In conclusion, they remained the case where the membership function of the fuzzy variable is discontinuous for the future research, and then expected to get similar results. Thus this note is to propose a new formula for the expected value of a function of a general fuzzy variable which is not restricted on having a continuous membership function. Furthermore, we give an example which cannot be applied to the formula that Xue et al. proposed. We also use the same example given by Xue et al. to show how to apply the new formula.

• Journal of Korean Society of Rural Planning
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• v.13 no.1 s.34
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• pp.33-40
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• 2007

The purpose of this paper is to analyze the value of stone fences in Jeju Island. The result that executes attitude survey to local resident and visitor can be summarizing as following. First are the function and the value of Jeju traditional stone fences. Local resident favored the culture heritage succession and evaluated its' usage Value highly. Visitors also have favored rural landscape offer function and evaluated inheritance value (Bequest Value) highly. Secondly, 80.5% of visitors, 78.1% of local resident have formed opinion about preservation of traditional stone fences. But the Willingness to pay for traditional stone fences fund was raised by 38.6% in local resident and 55.7% in visitor. The reason that willingness to pay does not exist is that it is chargeable to connection group and government, or it has no money to pay. Thirdly, local resident wanted to use made up stone fence preservation fund in rural landscape offer function. Visitor wanted that it is used to raise various function of stone fence.

• Journal of the Korean Mathematical Society
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• v.42 no.1
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• pp.85-99
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• 2005

In this paper, we investigate some properties of the entire function of the hyper order less than ${\frac}{1}{2}$ sharing one value CM with its k-th derivative.

• Communications of the Korean Mathematical Society
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• v.19 no.3
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• pp.557-567
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• 2004

We prove the sufficient conditions for optimality in differential inclusion problem by using the value function. For this purpose, we assume at first that the value function is locally Lipschitz. Secondly, without this assumption, we use the viability theory.

• Kyungpook Mathematical Journal
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• v.45 no.3
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• pp.339-348
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• 2005

In this paper, we discuss the value distribution of the derivative of a meromorphic function.

• International Journal of Advanced Culture Technology
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• v.4 no.3
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• pp.56-61
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• 2016

Central motion techniques are to mention the central-motion by the limpness motion function and limpness sensory unit function on the body. Central body motion is consisted of the limpness central function by the central body system. To evaluate the signal of central body motion, we are investigated a limpness value of the central function by the central body function on the static state. The concept of limpness motion function was checked the reference of limpness motion signal and limpness sensory signal by the central motion body. For assessment on the limpness sensory variation of the maximum and average in terms of central motion from the static function, and limpness value that was a limpness value of the vision condition of the Vi-${\lambda}_{MAX-AVG}$ with $8.71{\pm}-3.2units$, that was a limpness value of the vestibular condition of the Ve-${\lambda}_{MAX-AVG}$ with $3.05{\pm}-6.52units$, that was a limpness value of the somatosensory condition of the So-${\lambda}_{MAX-AVG}$ with $2.4{\pm}1.9units$. The static sensory motion was made mention of check out at the condition of the limpness sensory unit motion for the comparable values of limpness central motion that was expressed the analysis capacity by the limpness nerve system. Limpness sensory system will be to propose of the minute motion by static central motion situation and was to imply a limpness motion data of static body sensory function.

• Journal of Korean Institute of Industrial Engineers
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• v.15 no.2
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• pp.33-44
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• 1989

This paper presents stochastic-statistical dominance rules which eliminate dominated alternatives thereby reduce the number of satisficing alternatives to a manageable size so that the decision maker can choose the best alternative among them when neither the utility function nor the probability distribution of outcomes is exactly known. Specifically, it is assumed that only the characteristics of the utility function and the value function are known. Also, it is assumed that prior probabilities of the mutually exclusive states of nature are not known, but their relative bounds are known. First, the notion of relative risk aversion is used to describe the decision maker's attitude toward risk, which is defined with the acknowledgement that the utility function of the decision maker is a composite function of a cardinal value function and a utility function with-respect to the value function. Then, stochastic-statistical dominance rules are developed to screen out dominated alternatives according to the decision maker's attitude toward risk represented in the form of the measure of relative risk aversion.

• Bulletin of the Korean Mathematical Society
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• v.38 no.2
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• pp.379-387
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• 2001

In this paper, we study the value distribution of meromorphic functions and prove the following theorem: Let f(z) be a transcendental meromorphic function. If f and f'have the same zeros, then f'(z) takes any non-zero value b infinitely many times.

• Bulletin of the Korean Mathematical Society
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• v.50 no.1
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• pp.263-273
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• 2013

A mean-value result, saying that the difference quotient of a differentiable function in a real interval is a mean value of its derivatives at the endpoints of the interval, leads to the functional equation $$\frac{f(x)-F(y)}{x-y}=M(g(x),\;G(y)),\;x{\neq}y$$, where M is a given mean and $f$, F, $g$, G are the unknown functions. Solving this equation for the arithmetic, geometric and harmonic means, we obtain, respectively, characterizations of square polynomials, homographic and square-root functions. A new criterion of the monotonicity of a real function is presented.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.13 no.22
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• pp.43-50
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• 1990

In conventional function analysis, the function values are evaluated by experts, which are treated as exact values. For many cases, it is often difficult to evaluate the function values of a certain subject because the criteria of evaluation are very vague. This paper presents a new function evaluation method using fuzzy set. The purpose of the method is to minimize the difference among experts by recognizing an intersection point of membership function as a representative value.