• Title/Summary/Keyword: pairwise

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ON SOMEWHAT PAIRWISE FUZZY CONTINUOUS FUNCTIONS

  • Uma, M.K.;Roja, E.;Balasubramanian, G.
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.83-101
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    • 2007
  • In this paper the concept of somewhat pairwise fuzzy continuous functions and somewhat pairwise fuzzy open functions are introduced. Some interesting properties of these functions are investigated besides giving some characterizations of these functions.

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[ $G_{\delta}$ ]-CONNECTEDNESS AND $G_{\delta}$-DISCONNECTEDNESS IN FUZZY BITOPOLOGICAL SPACES

  • Roja, E.;Uma, M.K.;Balasubramanian, G.
    • East Asian mathematical journal
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    • v.23 no.2
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    • pp.159-174
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    • 2007
  • In this paper, the concepts of pairwise fuzzy $G_{\delta}$-connected spaces and pairwise fuzzy $G_{\delta}$-extremally disconnected spaces are introduced. The concept of pairwise fuzzy $G_{\delta}$-basically disconnected spaces is defined. Characterizations of the above spaces are given besides giving several examples. Interrelations among the spaces introduced are discussed and some relevant counter examples are given.

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Modeling Pairwise Test Generation from Cause-Effect Graphs as a Boolean Satisfiability Problem

  • Chung, Insang
    • International Journal of Contents
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    • v.10 no.3
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    • pp.41-46
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    • 2014
  • A cause-effect graph considers only the desired external behavior of a system by identifying input-output parameter relationships in the specification. When testing a software system with cause-effect graphs, it is important to derive a moderate number of tests while avoiding loss in fault detection ability. Pairwise testing is known to be effective in determining errors while considering only a small portion of the input space. In this paper, we present a new testing technique that generates pairwise tests from a cause-effect graph. We use a Boolean Satisbiability (SAT) solver to generate pairwise tests from a cause-effect graph. The Alloy language is used for encoding the cause-effect graphs and its SAT solver is applied to generate the pairwise tests. Using a SAT solver allows us to effectively manage constraints over the input parameters and facilitates the generation of pairwise tests, even in the situations where other techniques fail to satisfy full pairwise coverage.

Deriving Weights in The Multiattribute Decision Making with Imprecise Pairwise Comparison (부정확한 쌍대비교정보를 갖는 댜요소의사결정문제에서의 가중치 산출)

  • 정병호;조권익
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.2
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    • pp.75-84
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    • 1994
  • The uncertainty in the relative weights of a pairwise comparison matrix n Multi-attribute Decision Making (MADM) is caused by imprecise preference information of decision maker. In this paper, it is shown how weight of attributes can be derived from the pairwise comparison matrix with interval pairwise comparison. The preference information of each pair of attributes with a point pairwise comparison is combined with an interval pairwise comparison in order to estimate a point pairwise comparison for a pair of attributes with the imprecise preference information. A numerical example shows the suggested procedure for deriving weights of attributes.

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Pairwise semicontinuous mapping in smooth bitopological spaces

  • Lee, Eun-Pyo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.3
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    • pp.269-274
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    • 2002
  • We introduce (${\tau}_i$, ${\tau}_j$) fuzzy (r,s)-semiclosures and (${\tau}_i$, ${\tau}_j$)-fuzzy (r,s)-semiinteriors. Using the notions, we investigate some of characteristic properties of fuzzy pairwise (r,s)-semicontinuous, fuzzy pairwise (r,s)-semiopen and fuzzy pairwise (r,s)-semiclosed mappings.

FUZZY PAIRWISE STRONG PRECONTINUOUS MAPPINGS

  • Park, Kuo-Duok;Lee, Joo-Sung;Im, Young-Bin
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.725-736
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    • 2009
  • We define a (${\tau}_i$, ${\tau}_j$)-fuzzy strongly preopen set on a fuzzy bitopological space and characterize a fuzzy pairwise strong precontinuous mapping and a fuzzy pairwise strong preopen mapping(a fuzzy pairwise strong preclosed mapping) on a fuzzy bitopological space.

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DOUBLE PAIRWISE (r, s)(u, v)-SEMICONTINUOUS MAPPINGS

  • Lee, Eun Pyo;Lee, Seung On
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.4
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    • pp.603-614
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    • 2014
  • We introduce the concepts of ($\mathcal{T}^{{\mu}{\gamma}}$, $\mathcal{U}^{{\mu}{\gamma}}$)-double (r, s) (u, v)-semiclosures and ($\mathcal{T}^{{\mu}{\gamma}}$, $\mathcal{U}^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiinteriors. Using the notions, we investigate some of characteristic properties of double pairwise (r, s)(u, v)-semicontinuous, double pairwise (r, s)(u, v)-semiopen and double pairwise (r, s)(u, v)-semiclosed mappings.

FUZZY PAIRWISE STRONG PRE-IRRESOLUTE CONTINUOUS MAPPINGS

  • Lee, Hyo-Sam;Lee, Joo-Sung;Im, Young-Bin
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1561-1571
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    • 2010
  • We define and characterize a fuzzy pairwise strong pre-irresolute continuous mapping and a fuzzy pairwise strong pre-irresolute open mapping on a fuzzy bitopological space.