http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Some characterization of interval-valued choquet price functionals
장이채 한국지능시스템학회 2006 한국지능시스템학회논문지 Vol.16 No.2
In this paper, we dene an interval-valued Choquet price functional which is a useful tool as the price of an insurancecontract with ambiguity payoffs and investigate some characterizations of them. Moreover, we show that the insuranceprice with ambiguity payoffs has an interval-valued Choquet integral representation with respect to a capacity.
A STUDY ON THE TWISTED q-EULER POLYNOMIALS AND TRANSFER OPERATORS
장이채,김원주 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.1
In this paper, we consider twisted q-Euler polynomials and define a p-adic q-transfer operator (see [6]). From this operator, we investigate the eigenvalues of the p-adic q-transfer operator on the space of twisted q-Euler polynomials.
Some Properties of Choquet Integrals with Respect to a Fuzzy Complex Valued Fuzzy Measure
장이채,김현미 한국지능시스템학회 2011 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.11 No.2
In this paper, we consider fuzzy complex valued fuzzy measures and Choquet integrals with respect to a fuzzy measure of real-valued measurable functions. In doing so, we investigate some basic properties and convergence theorems.
A Note on Distances between Interval-Valued Intuitionistic Fuzzy Sets
장이채,김원주,김태균 한국지능시스템학회 2011 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.11 No.1
Atanassov [1,2] and Szmidt and Kacprzyk[7,8] studied various methods for measuring distances between intuitionistic fuzzy sets. In this paper, we consider interval-valued intuitionistic fuzzy sets and discuss these methods for measuring distances between interval-valued intuitionistic fuzzy sets.
장이채,김현미 한국지능시스템학회 2010 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.10 No.3
In this paper, using fuzzy complex valued functions and fuzzy complex valued fuzzy measures ([11]) and interval-valued Choquet integrals ([2-6]), we define Choquet integral with respect to a fuzzy complex valued fuzzy measure of a fuzzy complex valued function and investigate some basic properties of them.
Some characterizations of a mapping defined by interval-valued Choquet integrals
장이채,김현미 한국지능시스템학회 2007 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.7 No.1
Note that Choquet integral is a generalized concept of Lebesgue integral, because two definitions of Choquet integral and Lebesgue integral are equal if a fuzzy measure is a classical measure. In this paper, we consider interval-valued Choquet integrals with respect to fuzzy measures (see [4,5,6,7]). Using these Choquet integrals, we define a mappings on the classes of Choquet integrable functions and give an example of a mapping defined by interval-valued Choquet integrals. And we will investigate some relations between -convex mappings on the class of Choquet integrable functions and -convex mappings defined by the class of closed set-valued Choquet integrals with respect to fuzzy measures.
THE q-ANALOGUE OF TWISTED LERCH TYPE EULER ZETA FUNCTIONS
장이채 대한수학회 2010 대한수학회보 Vol.47 No.6
q-Volkenborn integrals ([8]) and fermionic invariant q-integ-rals ([12]) are introduced by T. Kim. By using these integrals, Euler q-zeta functions are introduced by T. Kim ([18]). Then, by using the Euler q-zeta functions, S.-H. Rim, S. J. Lee, E. J. Moon, and J. H. Jin ([25])studied q-Genocchi zeta functions. And also Y. H. Kim, W. Kim, and C. S. Ryoo ([7]) investigated twisted q-zeta functions and their applications. In this paper, we consider the q-analogue of twisted Lerch type Euler zeta functions defined by [수식]E;q;ε(s) = [2]q ∞Σn=0(-)nεnqsn [n]q where 0 < q < 1; R(s) > 1, ε∈ Tp, which are compared with Euler q-zeta functions in the reference ([18]). Furthermore, we give the q-extensions of the above twisted Lerch type Euler zeta functions at negative integers which interpolate twisted q-Euler polynomials.
Subsethood Measures Definedby Choquet Integrals
장이채 한국지능시스템학회 2008 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.8 No.2
In this paper, we consider concepts of subsethood measure introduced by Fan et al. [2]. Based on this, we give varioussubsethood measure dened by Choquet integral with respect to a fuzzy measure on fuzzy sets which is often used ininformation fusion and data mining as a nonlinear aggregation tool and discuss some properties of them. Furthermore, weintroduce simple examples.
On a $q$-analogue of the $p$-adic generalized twisted $L$-functions and $p$-adic $q$-integrals
장이채 대한수학회 2007 대한수학회지 Vol.44 No.1
The purpose of this paper is to dene generalized twistedq-Bernouli numbers by using p-adic q-integrals. Furthermore, we constructa q-analogue of the p-adic generalized twisted L-functions which interpo-late generalized twisted q-Bernouli numbers. This is the generalizationof Kim’sh-extension ofp-adic q L-function which was constructed in[5] and is a partial answer for the open question which was remained in[3].
보단조 가법 구간치 범함수와 구간치 쇼케이적분에 관한 연구(II)
장이채,전종득,김태균 한국지능시스템학회 2004 한국지능시스템학회논문지 Vol.14 No.1
In this paper, we will define comonotonically additive interval-valued functionals which are generalized comonotonically additive real-valued functionals in Schmeildler[14] and Narukawa[12], and prove some properties of them. And we also investigate some relations between comonotonically additive interval-valued functionals and interval-valued Choquet integrals on a suitable function space, cf.[9,10,11,13]. 이 논문에서는 Schmeidler[14]와 Narukawa[12]에 나오는 보단조 가법 실수치 범함수 개념의 일반화인 보단조 가법 구간치 범함수를 정의하고 그들의 성질을 연구한다. 또한 보단조 가법 구간치 범함수와 구간치 쇼케이적분이 적당한 함수공간 상에서 서로간의 관계를 조사한다. 수의 값을 갖는 함수들의 쇼케이적분을 생각하고자 한다. 이러한 구간 수의 값을 갖는 함수들의 성질들을 조사한다.