NDLI: Focusing vs. revision in possibility theory

Content Provider	IEEE Xplore Digital Library
Author	Dubois, D. Prade, H.
Copyright Year	1996
Description	Author affiliation: Inst. de Recherche en Inf., Univ. Paul Sabatier, Toulouse, France (Dubois, D.)
Abstract	Possibility measures are viewed as upper bounds of ill-known probabilities. More precisely, it is recalled that a possibility distribution is a faithful encoding of a set of lower bounds of probabilities bearing on a nested collection of subsets. Then two kinds of conditioning can be envisaged in this framework, namely revision and focusing. On the one hand, revision by a sure event A corresponds to adding a constraint enforcing that 'not A' is impossible, to the family of probability constraints. On the other hand, focusing amounts to a sensitivity analysis on the family of probability measures (induced by the lower bound constraints) once they are conditioned by A. When focusing on a particular situation A, the generic knowledge encoded by the family of probability measures induced by the lower bounds, is applied to this situation, without leading to a modification of the generic knowledge (which contrasts with revision where the generic knowledge is modified by the new constraint). Remarkably enough, focusing applied to a possibility measure yields a possibility measure again, which means that the conditioning of a family of probabilities, induced by lower bounds bearing on probabilities of nested events, can be faithfully handled on the possibility representation itself. Relations with results in the belief function setting are pointed out, as well as the difference between revision and focusing in possibility theory (interpreted as a probability bounds system).
Starting Page	1700
Ending Page	1705
File Size	625227
Page Count	6
File Format	PDF
ISBN	0780336453
DOI	10.1109/FUZZY.1996.552626
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-09-11
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Possibility theory Particle measurements Upper bound Encoding Sensitivity analysis Probability distribution Uncertainty
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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