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Uncertain inference using interval probability theory

1998
*
International Journal of Approximate Reasoning
*

The

doi:10.1016/s0888-613x(98)10010-5
fatcat:5tamsy2zobbadmrydsq24dnk64
*use*of*interval**probability**theory*(IPT) for*uncertain**inference*is demonstrated. The general*inference*rule adopted is the theorem of total*probability*. ...*Uncertain**inference**using*IPT is compared with Bayesian*inference*. ... A review of*interval**probability**theory*IPT is founded on the axioms of*probability**theory*but allows support for a conjecture to be separated from support for the negation of the conjecture. ...##
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Page 468 of American Society of Civil Engineers. Collected Journals Vol. 113, Issue 4
[page]

1987
*
American Society of Civil Engineers. Collected Journals
*

The method combines features of the

*theory*of fuzzy sets, Shafer’s*theory*of evidence (Shafer 1976) and*probability**theory*to form a suitable framework for*uncertain*logical rea- soning. ...*Probability*and fuzzy logic are examples of two such choices. The modeling of*uncertain**inference*is, however, rather different from the traditional problems of modeling physical systems. ...##
###
Uncertain deduction and conditional reasoning

2015
*
Frontiers in Psychology
*

We argue that the study of "

doi:10.3389/fpsyg.2015.00398
pmid:25904888
pmcid:PMC4389288
fatcat:bb37aks43bauzfn4qclakbtdye
*uncertain*deduction" should directly ask people to assign*probabilities*to both premises and conclusions, and report an experiment*using*this method. ... Most every day and scientific*inference*is made from more or less confidently held beliefs and not assumptions, and the relevant normative standard is Bayesian*probability**theory*. ... ofTable 3are derived*using*the total*probability*theorem of*probability**theory*. ...##
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Subject index to volume 2

1988
*
International Journal of Approximate Reasoning
*

and, 330 Bayesian approach, heuristic, to knowledge acquisition, application to analysis of tissuetype plasminogen activator, 342 Bayesian belief networks, 337 stochastic stimulation of, 331 Bayesian

doi:10.1016/0888-613x(88)90114-4
fatcat:rj373wy2pzff3d3otqdhxs2gca
*inference*... model-based machine vision, 327-328 Bayesian prediction, for artificial intelligence, 342 Bayesian scheme, implementing of, for revising belief commitments, 329 Belief prior, representation of, 261-263*probability*... , in automatic object classification, comparison with fuzzy set*theory*, 105-106 Rule base,*using*numerical uncertainty repre- sentations, 330-331 Rule-based*inference*system, combination of*uncertain*...##
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PROBABILISTIC INFERENCE FOR INTERVAL PROBABILITIES IN DECISION-MAKING PROCESSES

2019
*
Environment Technology Resources Proceedings of the International Scientific and Practical Conference
*

The present paper considers one approach to Bayes' formula based probabilistic

doi:10.17770/etr2019vol2.4112
fatcat:uxzqzydnvfervl2oiio45xvb3q
*inference*under*interval*values of relevant*probabilities*; the necessity of it is caused by the impossibility to obtain reliable ... For visualisation purposes, the state of initial and target information is modelled*using**probability*trees. ... That interpretation underlies the*theory*of*uncertain**probabilities*of P. Walley. The*theory*can be regarded as a specific extension of the traditional subjective*probability**theory*. ...##
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BAYESIAN NETWORK WITH INTERVAL PROBABILITY PARAMETERS

2011
*
International journal on artificial intelligence tools
*

*Interval*data are widely

*used*in real applications to represent the values of quantities in

*uncertain*situations. ... However, the implied probabilistic causal relationships among

*interval*-valued variables with

*interval*data cannot be represented and

*inferred*by general Bayesian networks with point-based

*probability*parameters ... As well, the rule-based methods, D-S evidence

*theory*, fuzzy set and rough set

*theories*are frequently

*used*mechanisms for representing and

*inferring*

*uncertain*knowledge. 19 Among these methods, the D-S ...

##
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Engineering Cost Evaluation Model Based on Multi Dimension Entropy and Intelligent Algorithm

2016
*
TELKOMNIKA (Telecommunication Computing Electronics and Control)
*

Rough set

doi:10.12928/telkomnika.v14i2a.4347
fatcat:kbmy52rgwvf3lidfqt4vgvi3ty
*theory*is utilized to analyze the fuzzy, random and*uncertain*factors and upper and lower approximation set relation is*used*to calculate the value taking*interval*of reliability index to make ...*interval*reliability analysis method is that it is not necessary to make*interval*standardization calculation for*uncertain*parameters and reliability analysis is made in direct utilization of objective ... Traditional*uncertain*information processing method includes fuzzy set*theory*, evidence*theory*and*probability*statistics*theory*etc. ...##
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Foundations of probabilistic inference with uncertain evidence

2005
*
International Journal of Approximate Reasoning
*

*Uncertain*evidence is defined as the class of observations for which this statement cannot take place in certain terms. ... It is a significant class of evidence, since it cannot be treated

*using*Bayes Theorem in its conventional form [G. Shafer, A Math- ... Alternative

*theories*, such as Fuzzy Logic [2] , Possibility

*Theory*[3] and Evidence

*Theory*[4] have been advocated as

*theories*that should be

*used*where

*Probability*

*Theory*allegedly fails to apply ...

##
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Representing knowledge and evidence for decision
[chapter]

1987
*
Lecture Notes in Computer Science
*

We argue that pointvalued

doi:10.1007/3-540-18579-8_2
fatcat:6vhh7fuukfhi3fphibaas77ncm
*probabilities*are a poor representation of uncertainty; that we need not be concerned with*uncertain*evidence; that*interval*-valued*probabilities*that result from knowledge of ...*inference*, inductive*inference*, statistical*inference*); and finally that this framework provides a very nearly classical decision*theory*--so far as it goes. ... (Kyburg, 1983) In what follows, I will sketch the properties of*interval*-valued epistemic*probability*, and exhibit a structure for knowledge representation that allows for both*uncertain**inference*from ...##
###
Bayesian inference in physics

2011
*
Reviews of Modern Physics
*

Bayes: 1) Assign prior:
2) Assign likelihood:
3) Compute posterior

doi:10.1103/revmodphys.83.943
fatcat:l5v3msodj5a3je2xb6c63mszdq
*using*Bayes' theorem: posterior : contains complete information: summarizing quantities: mode: m=0 mean: <m 0 >=0.06 95%*interval*... causes Calculus: Cox (1946): Basic requirements (i.e. transitivity,consistency) single out usual rules of*probability**theory*to handle uncertainty Please note:*probability*here not restricted to ...##
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Nonparametric predictive utility inference

2012
*
European Journal of Operational Research
*

., that of decision making with

doi:10.1016/j.ejor.2012.03.024
fatcat:ycfslgqeinbhxmsinwfg3rmghq
*uncertain*utility and that of Nonparametric Predictive*Inference*(NPI). ... An example of the*use*of NPUI within a motivating sequential decision problem is also considered for two extreme selection criteria, i.e., a rule that is based on an attitude of extreme pessimism and a ... the resulting NPI to the*theory*of*interval*or imprecise*probability*. ...##
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The conditional in mental probability logic
[chapter]

2010
*
Cognition and ConditionalsProbability and Logic in Human Thinking
*

This work is supported by the Austrian Research Fonds, FWF (project P20209 "Mental

doi:10.1093/acprof:oso/9780199233298.003.0009
fatcat:a73l3lopobdphompfw5jncukoi
*probability*logic"). ... It combines logic and subjective*probability**theory*.*Probability*logic tells*us*how to*infer*deductively the coherent (lower and upper)*probability*of the conclusion from the premises. ... Therefore the heavy*use*of*probability**theory*. In the traditional psychology of reasoning, however, the tasks were associated with deductive reasoning. Therefore the heavy*use*of classical logic. ...##
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Some varieties of qualitative probability
[chapter]

1995
*
Lecture Notes in Computer Science
*

In this essay I present a general characterization of qualitative

doi:10.1007/bfb0035948
fatcat:kwmscel3mzai3cfmugki3ehthy
*probability*, including a partial taxonomy of possible approaches. ... Acknowledgment This work was supported in part by grant F49620-94-1-0027 from the*US*Air Force Office of Scientific Research. ... Introduction In the standard*theory*of*probability*, degrees of belief for events or propositions take values in the real*interval*[0, 1] . ...##
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Page 1467 of Mathematical Reviews Vol. , Issue 2001C
[page]

2001
*
Mathematical Reviews
*

Fuzziness Knowledge-Based Systems 6 (1998), no.6, 551-562; MR 2000d:68149] put forward a

*theory*of incomplete*interval*prob- abilities, which is meant to give a common framework to both*interval**probabilities*... Fuhrmann and Levi then argue that if 7 has statistical as- sumptions that can be employed to license inductive*inferences*on*probability*judgments, both tests can be*used*(but sometimes they will generate ...##
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Uncertainty Management for Fuzzy Decision Support Systems
[article]

2013
*
arXiv
*
pre-print

The certainty of propositions is represented

arXiv:1304.2351v1
fatcat:4lpezyv365d3nmklxg3vvgqnfi
*using**intervals*[a, b] expressing that the proposition's*probability*is at least a and at most b. ... Different*inference*schemas for applying fuzzy rules by*using*modus ponens are discussed. ... then H [c d] else H [0 d] case2: assumes conventional*probability**theory*is used9:*Using*: if E then H [c d] E [a b] • mscomb is*used*for combining evidence. • the modus ponens generating function ...
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