Now showing items 1-20 of 22

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      A Stone's Representation Theorem and Some Applications

      Habil, Eissa D. (The Scientific and Technological Research Council of Turkey, 2000)
      In this paper, we prove the following form of Stone's representation theorem: Let\sum be a\sigma-algebra of subsets of a set X. Then there exists a totally disconnected compact Hausdorff space {\cal K} for which (\sum,\cup,\cap) ...
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      Brooks-Jewett and Nikodym convergence theorems for orthoalgebras that have the weak subsequential interpolation property

      Habil, Eissa D. (Kluwer Academic Publishers-Plenum Publishers, 1995)
      A weak form of σ-orthocompleteness or σ-orthosummability, referred to as the Weak Subsequential Interpolation Property, is defined for Orthoalgebras. It is shown that the class of Orthoalgebras that have this property ...
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      Connectedness in isotonic spaces

      Habil, Eissa D.; Elzenati, Khalid A. (The Scientific and Technological Research Council of Turkey, 2006)
      An isotonic space (X, cl) is a set X with isotonic operator cl: P (X)\to P (X) which satisfies cl (\emptyset)=\emptyset and cl (A)\subseteq cl (B) whenever A\subseteq B\subseteq X. Many properties which hold in topological ...
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      Decomposition of measures on Difference posets

      Habil, Eissa D.; Radwan, Akram M. (الجامعة الإسلامية - غزة, 2002)
      Decomposition of measures on Difference posets
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      Direct limits of effect algebras

      Habil, Eissa D. (Kluwer Academic Publishers-Plenum Publishers, 2000)
      In this paper, we prove that direct limits exist in the category of effect algebrasand effect algebra-morphisms. Then, as a consequence, we obtain similar knownresults for the categories of orthomodular posets and orthomodular ...
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      Double Sequences and Double Series

      Habil, Eissa D. (الجامعة الإسلامية - غزة, 2006)
      This research considers two traditional important questions, which are interesting, at least to most mathematicians. The first question arises in the theory of double sequences of complex numbers, which concerns the ...
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      Hereditary Properties in Isotonic Spaces

      Habil, Eissa D. (2009)
      An isotonic space (X, cl) is a set X with isotonic operator cl: 乡 (X)→
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      Integration with respect to a noncontinuous measure

      Habil, Eissa D.; Mahdi, Hisham B. (الجامعة الإسلامية - غزة, 2002)
      Integration with respect to a noncontinuous measure
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      Morphisms and pasting of orthoalgebras

      Habil, Eissa D. (Mathematical Institute of the Slovak Academy of Sciences, 1997)
      We study orthoalgebra morphisms, we show how orthoalgebra monomorphisms and epimorphisms ought to be defined, and we show how orthoalgebras may be" pasted" together to yield new orthoalgebras.
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      NIKODYM-VITALI – HAHN – SAKS THEOREM ON AN EFFECT ALGEBRA

      Habil, Eissa D. (الجامعة الإسلامية - غزة, 2004)
      NIKODYM-VITALI – HAHN – SAKS THEOREM ON AN EFFECT ALGEBRA
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      NIKODYM-VITALI–HAHN–SAKS THEOREM ON AN EFFECT ALGEBRA

      Habil, Eissa D. (2015)
      The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader) … If you would like more information about how to print, save, and ...
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      Nonstandard Topology on R

      Habil, Eissa D.; Ghneim, Ahmed A. (الجامعة الإسلامية - غزة, 2015)
      Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ordered field of nonstandard real numbers (or simply hyperreals) has been introduced. It extends the reals . The hyperreals ...
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      On fuzzy probability theory

      Habil, Eissa D.; Nasr, Taghreed Z (Kluwer Academic Publishers-Plenum Publishers, 2002)
      Our main aim from this work is to see which theorems in classical probability theory are still valid in fuzzy probability theory. Following Gudder's approach [Demonestratio Mathematica 31(3), 1998, 235–254; Foundations of ...
    • Orthoalgebras and Noncommutative Measure Theory.

      Habil, Eissa D. (1993)
      Notions of orthosummability and sigma-orthosummability are defined for orthoalgebras. It is shown that these notions extend the known notions of orthocompleteness and sigma-orthocompleteness for orthomodular posets and ...
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      Orthosummable orthoalgebras

      Habil, Eissa D. (Kluwer Academic Publishers-Plenum Publishers, 1994)
      We introduce notions of orthosummability andσ-orthosummability for orthoalgebras, which generalize the notions of orthocompleteness andσ-orthocompleteness for orthomodular posets, and we characterize such orthoalgebras in ...
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      Tensor product of distributive sequential effect algebras and product effect algebras

      Habil, Eissa D. (Springer US, 2008)
      A distributive sequential effect algebra (DSEA) is an effect algebra on which a distributive sequential product with natural properties is defined. We define the tensor product of two arbitrary DSEA’s and we give a necessary ...
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      The Brooks-Jewett theorem for -triangular functions on difference posets and orthoalgebras

      Habil, Eissa D. (Mathematical Institute of the Slovak Academy of Sciences, 1997)
      We introduce k-triangular functions on difference posets and we prove a Brooks-Jewett-type theorem for such functions that are defined on a difference poset (or an effect algebra) satisfying the weak subsequential interpolation ...
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      THE BROOKS-JEWETT THEOREM ON AN EFFECT ALGEBRA

      Habil, Eissa D. (الجامعة الإسلامية - غزة, 2003)
      THE BROOKS-JEWETT THEOREM ON AN EFFECT ALGEBRA
    • The intersection operation in light of joint observables and Bell inequalities in operational probability theory

      Habil, Eissa D.; Nasr, Taghreed Z (North-Holland, 2011)
      Operational probability theory appears as a smooth extension of classical probability theory that fulfills quantum physics needs. In this paper, we, first, explain the need to extend the concept of the intersection operation ...
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      THE TWO SCOPES OF FUZZY PROBABILITY THEORY

      Habil, Eissa D.; Nasr, Taghreed Z (2010)
      The aim of this work is to compare between what seems to be entirely different two highly developing “fuzzy probability” theories. The first theory had been developed firstly by statisticians and the other separately by ...