Generalized Measure of Fuzzy Entropy in Various Parameter

Authors

  • Pandey S Dr. C.V. Raman university Kargi Road, Kota, Bilaspur- India
  • Dubey RP Dr. C.V. Raman university Kargi Road, Kota, Bilaspur- India
  • Jha P Govt. College, Balodabazar (C.G.)-India

Keywords:

Fuzzy set, Fuzzy entropy, parametric fuzzy entropy

Abstract

In the present paper, the fuzzy entropy measures are obtained by existing literatures. A generalized parametric fuzzy entropy in various parameter is defined. Fuzziness is one of the pandemic attributes of human thinking and objectives things whereas fuzzy set theory is one of the effective tools of researching and processing fuzzy phenomena in real world’s problems. Taking this fact into contemplate, we have introduced and investigated new generalized measure of fuzzy entropy based upon real parameters, studied their fundamental and desirable properties and presented these measures through graph

References

[1] Bhandari, A. and Pal, N. R. (1993), “Some new informationmeasures for fuzzy sets.” Information Science, 67, 204-228,.

[2] De-Luca, A. and Termini, S. (1971), “A definition of Non-Probabilistic entropy in the setting of Fuzzy Set Theory.” Information and control, 20, 301-312,.

[3] Hooda, D. S. 2004,“On generalized measures of fuzzy entropy.” Mathematica Slovaca, 54(3), 315-325. [4] Hwang, C. H., and Yang, M. S. (2008), “On entropy of fuzzy sets.” International Jornal of Uncertainity; [5] Fuzzinessand knowledge- Based systems, 16(4), 519-527.

[6] Kapur, J. N.( 1997), “Measure of Fuzzy Information.” Mathematical Sciences Trust society, New Delhi.

[7] Pal, N. R. and Pal, S. K.(1999), “ Entropy: a new definitions and its applications.” IEEE Transaction on systems, Man and cybernetics, 21(5), 1260-1270.

[8] Renyi, A. (1961), “On measures of entropy and information, Proceedings of the Fourth Berkeley symposium on Mathematical Statistics and probability.” Berkeley; CA: University of California Press, 547-561.

[9] Shannon, C. E. (1948), “A Mathematical theory of communication.” Bell system Techenical Journal, 27, 379-423, 623-656.

[10] Zadeh, L. A. (1948), “Fuzzy sets.” Information control, 8, 94-102.

[11] Zadeh, L. A. (1968), “Probability measure of fuzzy event.” Journal of Mathematical Analysis and Application, 23(2), 421-423

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Published

2025-11-24

How to Cite

[1]
S. Pandey, R. Dubey, and P. Jha, “Generalized Measure of Fuzzy Entropy in Various Parameter”, Int. J. Comp. Sci. Eng., vol. 7, no. 3, pp. 251–255, Nov. 2025.