Characterization of fuzzy number fuzzy measure using fuzzy integral

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DOI:

https://doi.org/10.26637/MJM0603/0019

Abstract

By using the concepts of fuzzy number fuzzy measures [2] and fuzzy valued functions [3] a theory of fuzzy integrals is investigated. In this paper we have established the fuzzy version of Generalised monotone Convergence theorem and generalised Fatous lemma.

Keywords:

Fuzzy number, Fuzzy-valued functions, Fuzzy integral, Fuzzy numberfuzzy measure

Mathematics Subject Classification:

Mathematics
  • D. Rajan Department of Mathematics, T.B.M.L College, Porayar-609307, Tamil Nadu, India
  • A. Beulah Department of Mathematics, T.B.M.L College, Porayar-609307, Tamil Nadu, India.
  • Pages: 585-587
  • Date Published: 01-07-2018
  • Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

Z. Qiao, on Fuzzy Measure and fuzzy integral on fuzzy sets, Fuzzy Sets and Systems, 37(1990), 77-92.

$mathrm{C}$. Wu, D. Zhang and C. Guo, Fuzzy number fuzzy Measures and Fuzzy integrals(1), Fuzzy Sets and Systems, $98(1998), 355-360$.

D. Zhang and Z. Wang, Fuzzy integrals of fuzzy valued function, Fuzzy Sets and Systems, 54(1993), 63-67.

D. Zhang and Z. Wang, Fuzzy Measures and integrals, Fuzzy Systems Mathematics, 7(1993), 71-80.

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Published

01-07-2018

How to Cite

D. Rajan, and A. Beulah. “Characterization of Fuzzy Number Fuzzy Measure Using Fuzzy Integral”. Malaya Journal of Matematik, vol. 6, no. 03, July 2018, pp. 585-7, doi:10.26637/MJM0603/0019.