Fuzzy Coding Theorem on Generalized Fuzzy Cost Measure


  • M.A.K. Baig Department of Statistics University of Kashmir Srinagar – 190006
  • Mohd Javid Dar P.G. Department of Statistics University of Kashmir, Hazratbal, Srinagar-190006


Fuzzy Set, Fuzzy Entropy Function, Fuzzy useful Entropy Function, Fuzzy Cost measure function and Fuzzy Coding Theorem


In the literature of information theory several types of coding theorems involving fuzzy entropy functions exists. In this paper, some new fuzzy coding theorems have been obtained by considering fuzzy cost measure involving utilities. The fuzzy coding theorems obtained here are not only new but also generalizes some well known results available in the literature.



• Belis, M. and Guiasu, S. (1968): ‘A quantitative and qualitative measure of information in cybernetic system’, IEEE Transaction on information theory, Vol.IT-14, pp. 593-594.

• De Luca and S. Termini (1972): A Definition of Non-probabilistic Entropy in the Setting of fuzzy sets theory, Information and Control, Vol.20, pp. 301-312.

• Guiasu, S. and Picard,C.F. (1971): Borne inferieure de la longer de certain codes, C.R. Academic Sciences, Paris,Vol. 273, pp. 248-251

• Hooda, D. S. and Ram, A. (1998): ‘Characterization of Non-additive ‘useful’ information measure’, Recent Advances in information theory, Statistics and Computer applications, CCC Haryana, Agriculture University, Hisar, pp. 64-77

• Kraft, L.J. (1949): “A device for quantizing grouping and coding amplitude modulates pulsesâ€, M. S. Thesis, Department of Electrical Engineering, MIT, Cambridge.

• Longo,G. (1976): “A noiseless coding theorem for source having utilitiesâ€, SIAM Journal of Applied Mathematics, Vol.30, pp.739-748

• Shannon, C.E. (1948): The Mathematical theory of Communication, Bell Syst. Tech. Journal, Vol.27, pp.423-467.

• Shisha, O. (1967): “Inequalitiesâ€, Academic press, New York.

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




How to Cite

Baig, M., & Dar, M. J. (2014). Fuzzy Coding Theorem on Generalized Fuzzy Cost Measure. Asian Journal of Fuzzy and Applied Mathematics, 2(1). Retrieved from https://ajouronline.com/index.php/AJFAM/article/view/721