Keywords:-

Keywords: R-Norm information measure, Useful information, Useful mean codeword length, Coding theorem etc.

Article Content:-

Abstract

In this paper, we propose a generalized class of useful information measures based on two parameters

References:-

References

Belis, M. and Guiasu, S (1968). A quantitative-qualitative measure of information in cybernetic systems (corresp.). IEEE Trans.

Inf.Theory, 14:593:594.

Bhaker, U. S. and Hooda, D. S. (1993). Mean value characterization of “useful” information of measures. Tamkang J. Math.,24:283:294.

Boekee, D. E. and Van der Lubbe, J. C. A. (1980). The r-norm information measure. Inform. Control, 45:136:145.

Feinstein, A. (1958). Foundations of Information Theory. McGraw Hill, New York, first edition.

Guiasu, S. and Picard, C. F. (1971)Borne inferieure de la longueur de certain codes. C. R. Acad. Sci., Paris, 273:248:251.

Gurdial, A. and Pessow, F. (1977). On useful information of order . J. Comb. Inform.

Syst. Sci., 2:30:35.

Hooda, D. S. and Bhaker, U. S. (1997). A generalized useful information measure and coding theorems. Soochow J. Math., 23:53:62.

Longo, G. (1976). A noiseless coding theorem for sources having utilities. SIAM J. Applied Math., 30:739:748.

Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technol. J., 27:379:423.

Shisha, O. (1967). Inequalities. Academic Press, New York.

Singh, R. P., Kumar, R. and Tuteja, R.

K. (2003). Application of holder’s inequality in information theory. Inform. Sci.,

:145:154,2003.

Zadeh, L. A. (1965) Fuzzy Sets, Information and Control, Vol. 8, pp. 338-353.

Mahajan D. & Kumar P. (2015) Parametric information geerating function with utilities ISSN:0974-8024 Vol.9, 47-58.

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Verma, R. K., & Kumari, S. (2025). A GENERALIZED USEFUL R-NORM INFORMATION MEASURE AND ITS NOISELESS CODING THEOREM. International Journal Of Mathematics And Computer Research, 13(7), 5390-5396. https://doi.org/10.47191/ijmcr/v13i7.06