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Comparative Study of Generalized Quantitative-Qualitative Inaccuracy Fuzzy Measures for Noiseless Coding Theorem and 1:1 Codes
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In coding theory, we study various properties of codes for application in data compression, cryptography, error correction, and network coding.
The study of codes is introduced in Information Theory, electrical engineering, mathematics, and computer sciences for the transmission of data through reliable and efficient methods.
We have to consider how coding of messages can be done efficiently so that the maximum number of messages can be sent over a noiseless channel in a given time.
Thus, the minimum value of mean codeword length subject to a given constraint on codeword lengths has to be founded.
In this paper, we have introduced mean codeword length of order α and type β for 1:1 codes and analyzed the relationship between average codeword length and fuzzy information measures for binary 1:1 codes.
Further, noiseless coding theorem associated with fuzzy information measure has been established.
American Psychological Association (APA)
Arora, H. D.& Dhiman, Anjali. 2015. Comparative Study of Generalized Quantitative-Qualitative Inaccuracy Fuzzy Measures for Noiseless Coding Theorem and 1:1 Codes. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1066190
Modern Language Association (MLA)
Arora, H. D.& Dhiman, Anjali. Comparative Study of Generalized Quantitative-Qualitative Inaccuracy Fuzzy Measures for Noiseless Coding Theorem and 1:1 Codes. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1066190
American Medical Association (AMA)
Arora, H. D.& Dhiman, Anjali. Comparative Study of Generalized Quantitative-Qualitative Inaccuracy Fuzzy Measures for Noiseless Coding Theorem and 1:1 Codes. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1066190
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1066190