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Meromorphic Function of Fuzzy Complex Variables

Year 2018, Issue: 20, 1 - 12, 02.01.2018

Abstract

The fuzzy complex set is a fuzzy set whose values lies in the unit circle jzj · 1 in the complex plane. The Nevanlinna characteristic function playes an important role in the theory of entire and meromorphic function. In this paper we introduce the notion of fuzzy to the Nevanlinna theory and investigate some important properties of Nevanlinna characteristic function of fuzzy complex variables.

References

  • [1] Buckley J.J, Fuzzy complex numbers, Proceedings of ISFK, Guangzhou, China, 1987; pp: 597 ¡ 700
  • [2] Buckley J.J, Fuzzy complex numbers, Fuzzy sets and systems, 33 (3) (1989); 333 ¡ 345
  • [3] Hayman,W.K.: Meromorphic functions, The Clarendon Press, Oxford, 1964
  • [4] Ramot D, Milo R, Friedman M, Kandel A, Complex fuzzy sets, IEEE transac- tions on fuzzy systems, 10 (2) (2002) 171 ¡ 186
  • [5] Ramot D, Friedman M, Langholz G, Kandel A, Complex fuzzy logic, IEEE transactions on fuzzy systems, 11 (4) (2003) 450 ¡ 461
  • [6] Klir G,J, Yuan B, Fuzzy sets and fuzzy logic: Theory and applications, 1995, Pearson Professional educations, Prentice Hall, New Jersy, US.
  • [7] Zadeh L.A, Advances in Fuzzy systems - Applications and theory, Vol 6, World Scienti¯c, ISBN 9810224214 to ISBN 9810224222
  • [8] Zadeh L.A, Fuzzy Sets, Information and control, 8 (1965) 338 ¡ 353
  • [9] Zhang G, Dillon T.S, Cai K Y, Ma J, Lu J, Operations properties and ± ¡ equalities of complex fuzzy sets, International Journal of approximate rea- soning, 50 (2009) 1227 ¡ 1249
Year 2018, Issue: 20, 1 - 12, 02.01.2018

Abstract

References

  • [1] Buckley J.J, Fuzzy complex numbers, Proceedings of ISFK, Guangzhou, China, 1987; pp: 597 ¡ 700
  • [2] Buckley J.J, Fuzzy complex numbers, Fuzzy sets and systems, 33 (3) (1989); 333 ¡ 345
  • [3] Hayman,W.K.: Meromorphic functions, The Clarendon Press, Oxford, 1964
  • [4] Ramot D, Milo R, Friedman M, Kandel A, Complex fuzzy sets, IEEE transac- tions on fuzzy systems, 10 (2) (2002) 171 ¡ 186
  • [5] Ramot D, Friedman M, Langholz G, Kandel A, Complex fuzzy logic, IEEE transactions on fuzzy systems, 11 (4) (2003) 450 ¡ 461
  • [6] Klir G,J, Yuan B, Fuzzy sets and fuzzy logic: Theory and applications, 1995, Pearson Professional educations, Prentice Hall, New Jersy, US.
  • [7] Zadeh L.A, Advances in Fuzzy systems - Applications and theory, Vol 6, World Scienti¯c, ISBN 9810224214 to ISBN 9810224222
  • [8] Zadeh L.A, Fuzzy Sets, Information and control, 8 (1965) 338 ¡ 353
  • [9] Zhang G, Dillon T.S, Cai K Y, Ma J, Lu J, Operations properties and ± ¡ equalities of complex fuzzy sets, International Journal of approximate rea- soning, 50 (2009) 1227 ¡ 1249
There are 9 citations in total.

Details

Journal Section Research Article
Authors

Arindam Jha This is me

Publication Date January 2, 2018
Submission Date June 12, 2016
Published in Issue Year 2018 Issue: 20

Cite

APA Jha, A. (2018). Meromorphic Function of Fuzzy Complex Variables. Journal of New Theory(20), 1-12.
AMA Jha A. Meromorphic Function of Fuzzy Complex Variables. JNT. January 2018;(20):1-12.
Chicago Jha, Arindam. “Meromorphic Function of Fuzzy Complex Variables”. Journal of New Theory, no. 20 (January 2018): 1-12.
EndNote Jha A (January 1, 2018) Meromorphic Function of Fuzzy Complex Variables. Journal of New Theory 20 1–12.
IEEE A. Jha, “Meromorphic Function of Fuzzy Complex Variables”, JNT, no. 20, pp. 1–12, January 2018.
ISNAD Jha, Arindam. “Meromorphic Function of Fuzzy Complex Variables”. Journal of New Theory 20 (January 2018), 1-12.
JAMA Jha A. Meromorphic Function of Fuzzy Complex Variables. JNT. 2018;:1–12.
MLA Jha, Arindam. “Meromorphic Function of Fuzzy Complex Variables”. Journal of New Theory, no. 20, 2018, pp. 1-12.
Vancouver Jha A. Meromorphic Function of Fuzzy Complex Variables. JNT. 2018(20):1-12.


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