Generalization of negation of a probability distribution

Priya Tanwar () and Amit Srivastava ()
Additional contact information
Priya Tanwar: Jaypee Institute of Information Technology
Amit Srivastava: Jaypee Institute of Information Technology

International Journal of System Assurance Engineering and Management, 2023, vol. 14, issue 1, No 31, 447-454

Abstract: Abstract Negation is absolutely essential in all conversations that allows for denial, contradiction and other countering aspects of human linguistic systems. Intuitively, the negative sentences are less informative and less specific than the affirmative ones. In other words, it has more uncertainty embedded in it. If an event is uncertain, negating it will require some sort of probabilistic formulation. Yager (IEEE Trans Fuzzy Syst 25:1899–1902, 2015) gave a probabilistic definition of negation of a probability distribution based on unbiased distribution of probabilities. In the present work, a generalization of negation based on the concept of biased distribution is proposed. Some numerical examples have been discussed for determining the validity and efficacy of the proposed generalization. Finally an application in medical diagnosis has been considered.

Keywords: Negation; Uncertainty; Probability distribution; Retention; Convex combination; 60A05; 15B51; 94A15 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13198-023-01874-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:ijsaem:v:14:y:2023:i:1:d:10.1007_s13198-023-01874-8

Ordering information: This journal article can be ordered from
http://www.springer.com/engineering/journal/13198

DOI: 10.1007/s13198-023-01874-8

Access Statistics for this article

International Journal of System Assurance Engineering and Management is currently edited by P.K. Kapur, A.K. Verma and U. Kumar

More articles in International Journal of System Assurance Engineering and Management from Springer, The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().