• Title/Summary/Keyword: $SET^*$

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NEW FORM OF NJÅSTAD'S α-SET AND LEVINE'S SEMI-OPEN SET

  • Modak, Shyamapada;Islam, Md. Monirul
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.2
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    • pp.165-175
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    • 2017
  • This paper gives an extensive study of ideal topological space and introduce two new types of set with the help of local function. Several characterizations of these sets will also be discussed through this paper and finally gives new representation of ${\alpha}$-sets and semi-open sets.

Some relation between compact set-valued functionals and compact set-valued Choquet integrals

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2005.11a
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    • pp.129-132
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    • 2005
  • In this paper, we consider comonotonically additive compact set-valued functionals instead of interval-valued functionals and study some characterizations of them. And we also investigate some relation between compact set-valued functionals and compact set-valued Choquet integrals.

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ON SET-VALUED MAPS AND HYPERSPACES

  • Kim, Rae-Seon;Lee, Eui-Chul
    • Journal of applied mathematics & informatics
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    • v.8 no.2
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    • pp.635-640
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    • 2001
  • Let X be a T-admissible space and A(x) be the set of all admissible fibers at x∈X. In this paper, we introduce some basic concepts, properties, and known results about set-valued maps, hyperspaces and especially T-admissible spaces. And then, we construct a certain set-valued map(Theorem 2.3) and an arc from {x} to X∈A(x) in use of the set-valued maps(Theorem 2.3 through Theorem 2.7).

H * H-FUZZY SETS

  • Lee, Wang-Ro;Hur, Kul
    • Honam Mathematical Journal
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    • v.32 no.2
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    • pp.333-362
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    • 2010
  • We define H*H-fuzzy set and form a new category Set(H*H) consisting of H*H-fuzzy sets and morphisms between them. First, we study it in the sense of topological universe and obtain an exponential objects of Set(H*H). Second, we investigate some relationships among the categories Set(H*H), Set(H) and ISet(H).

A Study for Payment System Efficiently on SET Payment Protocol (SET 지불프로토콜을 이용한 효율적인 지불시스템에 관한 연구)

  • 함정훈;오상훈
    • Proceedings of the Korean Society for Information Management Conference
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    • 2000.08a
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    • pp.181-184
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    • 2000
  • 전자상거래의 급격한 성장에 따라 인터넷이라는 광용 네트워크에서 보다 안전한 지불수단을 필요로 하게 되었다. 현재 SSL을 이용한 정보보호 방법과 SET를 이용한 지불 프로토콜이 표준화 및 상용화되어 있다. 그러나 SSL은 신용카드나 직불카드 번호와 같은 중요한 정보들이 사용자의 의지와 상관없이 여러 통로로 노출될 수 있으며 거래 당사자들의 인증수단이 취약하다는 단점이 있다. SET 역시 프로세스들이 복잡하고 비용 등에 부담을 주고 있다. 새로운 대안으로 SSL 기반에 특정한 상황에 SET으로 대체하는 것과 SSL에 인증기능을 강화하는 등의 새로운 연구들이 이루어지고 있다. 본 연구에서는 SET 프로토콜 기반의 새로운 지불 시스템을 제안한다.

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AN EXTENSION OF SOFT ROUGH FUZZY SETS

  • Beg, Ismat;Rashid, Tabasam
    • Korean Journal of Mathematics
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    • v.25 no.1
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    • pp.71-85
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    • 2017
  • This paper introduces a novel extension of soft rough fuzzy set so-called modified soft rough fuzzy set model in which new lower and upper approximation operators are presented together their related properties that are also investigated. Eventually it is shown that these new models of approximations are finer than previous ones developed by using soft rough fuzzy sets.

THE MAXIMAL PRIOR SET IN THE REPRESENTATION OF COHERENT RISK MEASURE

  • Kim, Ju Hong
    • The Pure and Applied Mathematics
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    • v.23 no.4
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    • pp.377-383
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    • 2016
  • The set of priors in the representation of coherent risk measure is expressed in terms of quantile function and increasing concave function. We show that the set of prior, $\mathcal{Q}_c$ in (1.2) is equal to the set of $\mathcal{Q}_m$ in (1.6), as maximal representing set $\mathcal{Q}_{max}$ defined in (1.7).

SCORE SETS IN k-PARTITE TOURNAMENTS

  • Pirzada S.;Naikoo T.A.
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.237-245
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    • 2006
  • The set S of distinct scores (outdegrees) of the vertices of a k-partite tournament T($X_l,\;X_2, ..., X_k$) is called its score set. In this paper, we prove that every set of n non-negative integers, except {0} and {0, 1}, is a score set of some 3-partite tournament. We also prove that every set of n non-negative integers is a score set of some k-partite tournament for every $n{\ge}k{\ge}2$.

The Effects of Set-up Cost Reduction in the Dynamic Lot Size Model and the EOQ model (동적로트크기결정모형과 EOQ모형에 있어서 가동준비비용의 감소효과)

  • ;Lee, Sang Bum
    • Journal of the Korean Operations Research and Management Science Society
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    • v.17 no.3
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    • pp.13-26
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    • 1992
  • Set-up reduction is an important aspect of the Japanese Just-In-Time (JIT) and Zero Inventory (ZI) concepts. In this paper, we first analyze the effects of set-up cost reduction on tatal inventory, average lot size and forecast horizon in the dynamic lot size model. We also examine the various effects of set-up cost reduction in the EOQ model and explain why many Japanese firms try to cut set-up cost and/or set-up time greatly.

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