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A New Method for Representing Linguistic Quantifications by Random Sets with Applications to Tracking and Data Fusion
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In: DTIC (2002)
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Algebraic Representations of Linguistic and Numerical Modifications of Probability Statements and Inferences Based on a Product Space Construction.
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In: DTIC AND NTIS (1996)
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Abstract:
This paper addresses the problem of obtaining for any given probability space (A, B, P) an extension to a probability space (Ao, Bo, Po) such that for any given function f:(O,1)n to (0,1), suitably analytic, and any given finite collection of ordinary events a, b, c,.,m in sample space B, with possible relations among them, there is an event alpha sub f = alpha sub f (a,b,c,.,m) in Bo (not dependent upon P) such that for all possible choices of P and a, b, c,.,m, Po(alpha sub f) = f(P(a), P(b), P(c), ., P(m)) provided the right-hand side is well-defined relative to f. It is seen that the above procedure generalizes that of the problem of constructing 'conditional event algebras' relative to all conditional probabilities. Applications to problems on data fusion and combination of evidence are also provided.
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Keyword:
*DATA FUSION; *PROBABILITY; ALGEBRA; ANALYTIC FUNCTIONS; ARITHMETIC; CONDITIONAL EVENT ALGEBRA; INFINITE SERIES; MATHEMATICAL LOGIC; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PE61152N; POWER SERIES; Statistics and Probability; WUDN300173
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URL: http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA306334
http://www.dtic.mil/docs/citations/ADA306334
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A New Characterization of Fuzzy Logic Operators Producing Homomorphic-Like Relations with One-Point Coverages of Random Sets.
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In: DTIC AND NTIS (1994)
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New Results on the Compatibility of the Standard Conditional Likelihood Approach with Product Space Conditional Event Algebra
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In: DTIC AND NTIS (1992)
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Admissibility of Possibility Functions and Other Non-Probability Functions in Lindley's Extension of the Definetti-Savage Uncertainty Game
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In: DTIC AND NTIS (1992)
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The Role of Conditional Event Algebra in the Modeling of C3 Systems
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In: DTIC AND NTIS (1992)
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A Revised Approach to Combining Linguistic and Probabilistic Information in Correlation
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In: DTIC AND NTIS (1992)
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A Formal Theory of C3 and Data Fusion
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In: DTIC AND NTIS (1991)
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PACT (Possibilistic Approach to Correlation and Tracking): An Approach to Combining Linguistic-Based and Probabilistic Information in Correlation and Tracking.
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In: DTIC AND NTIS (1986)
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Combination of Evidence in C3 Systems.
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In: DTIC AND NTIS (1985)
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An Approach to the Target Data Association Problem Using Subjective and Statistical Information
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In: DTIC AND NTIS (1984)
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Modeling Natural Language Information for Use in the Combination of Evidence Problem.
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In: DTIC AND NTIS (1984)
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Applications of Fuzzy Set Theory to Parameter Estimation and Tracking
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In: DTIC AND NTIS (1983)
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Uncertainty Modeling and Possibilistic Approach to Parameter Estimation.
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In: DTIC AND NTIS (1982)
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