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IEEE Transactions on Systems, Man, and Cybernetics

Issue 12 • Date Dec 1994

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Displaying Results 1 - 11 of 11
  • A history and introduction to the algebra of conditional events and probability logic

    Publication Year: 1994, Page(s):1671 - 1675
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (568 KB)

    This article is meant to serve as an introduction to the following series of papers on various aspects of conditional event algebra and probability logic. It addresses the history of the problem and gives an overview of the development of the subject and its impact on the investigation of problems within AI View full abstract»

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  • Conditional objects as nonmonotonic consequence relationships

    Publication Year: 1994, Page(s):1724 - 1740
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1684 KB)

    This paper investigates the relationship between conditional objects obtained as a qualitative counterpart to conditional probabilities, and nonmonotonic reasoning. Viewed as an inference rule expressing a contextual belief, the conditional object is shown to possess all properties of a well-behaved nonmonotonic consequence relation when a suitable choice of connectives and deduction operation is ... View full abstract»

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  • Updating on conditional information

    Publication Year: 1994, Page(s):1708 - 1713
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (628 KB)

    This paper, concentrating on deductions among conditional expressions, extends some previous ideas of the author as an alternative to the use of conditional event algebra. The approach taken here is through metalanguage-based “high probability relations”. Higher order conditionals are also treated in the same metalevel format, in contrast to the object language format of conditional ev... View full abstract»

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  • Data exploration and conditional probability

    Publication Year: 1994, Page(s):1764 - 1766
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (188 KB)

    It is possible to “read” the data of a 2×2 contingency table by interpreting the various proportions as “conditional probabilities”. If we interpret the probability P as degree of belief in the truth of an event E, then P can be looked on as a substitute of our relevant lack of information concerning the truth or falsity of E. In the same way we consider the condition... View full abstract»

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  • A theory of conditional information with applications

    Publication Year: 1994, Page(s):1676 - 1684
    Cited by:  Papers (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (892 KB)

    The development of conditional propositions, deduction between conditionals, and boolean-like operations on conditionals, and their associated probabilities are here unified in terms of boolean relations of the form “b=0” defined on an initially relation-free algebra of boolean polynomials that transcends an initial domain of discourse. The conditional proposition (a|b) is assigned the... View full abstract»

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  • Conditional events in probability assessment and revision

    Publication Year: 1994, Page(s):1741 - 1746
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (592 KB)

    By resorting to the general interpretation of an event as a proposition, we deal with its natural generalization, the concept of conditional event. No algebraic structure is put on the given family of conditional events. An important feature of our approach is that conditional probability makes sense also when the conditioning event is null. Our attention is centered on de Finetti's approach to pr... View full abstract»

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  • Probabilistic entailment of conditionals by conditionals

    Publication Year: 1994, Page(s):1714 - 1723
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (940 KB)

    Symbolic logics that embody different theories of natural-language conditionals have been developed. One such logic is that of Ernest Adams. An Adams conditional α>β expresses the idea that the conditional probability Pr(β|α) is close to one; his logic may be used to reason about such ideas. In particular, Adam's logic may be used to reason about imperfect generalizations ... View full abstract»

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  • Toward a comprehensive theory of linguistic and probabilistic evidence: two new approaches to conditional event algebra

    Publication Year: 1994, Page(s):1685 - 1698
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1216 KB)

    This paper first surveys the basic state-of-the art in modeling and combining conditional information, compatible with natural conditional probability evaluations via conditional event algebras. A critical analysis of the situation is given, where current approaches are based upon interpreting conditional events as event intervals. This includes the present problems of modeling conditional random ... View full abstract»

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  • Coherent numerical and ordinal probabilistic assessments

    Publication Year: 1994, Page(s):1747 - 1754
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (696 KB)

    Conditions of coherence are given for generalized assessments of probability on arbitrary sets of conditional events, that is assessments including also imprecise values (probability intervals) and ordinal evaluations (comparative probabilities). Such coherence conditions ensure, like the well known de Finetti coherence condition for numerical probabilities, the possibility of extending generalize... View full abstract»

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  • Stone algebras, conditional events, and three valued logic

    Publication Year: 1994, Page(s):1699 - 1707
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (684 KB)

    There are several equivalent ways to represent the set of conditional events, and in some the operations proposed by Goodman and Nguyen (1991) become much simpler, making the development of the theory much easier and much more concise. Such a development is carried out here using a representation whose relation to three-valued logic is analogous to that of Boolean algebras to two-valued logic, and... View full abstract»

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  • Conditional events, conditioning, and random sets

    Publication Year: 1994, Page(s):1755 - 1763
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (840 KB)

    A central problem in the Dempster/Shafer theory of evidence is conditioning. This paper presents a new approach to a solution of this problem by establishing a link between conditional events and discrete random sets. Conditional events are introduced as sets of equivalent events under conditioning. These sets may become targets of a multivalued mapping. Thus, conditional belief functions can be i... View full abstract»

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