Testing the Difference of Means of Populations With Respect to Intuitionistic Fuzzy Sets

Main Article Content

Sasiwimon Iwsakul, Khamika Urawong, Thammarat Panityakul, Ronnason Chinram, Pattarawan Singavananda

Abstract

In this study, the tests of statistical hypotheses with crisp data using small samples are extended to with the membership function and the non-membership function of the intuitionistic fuzzy set. The test procedure of statistical hypotheses for means of two normally distributed populations with respect to any intuitionistic fuzzy set is proposed.

Article Details

References

  1. K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets Syst. 20 (1986), 87-96. https://doi.org/10.1016/s0165-0114(86)80034-3.
  2. M.R. Casals, M.A. Gil, P. Gil, The Fuzzy Decision Problem: An Approach to the Problem of Testing Statistical Hypotheses With Fuzzy Information, Eur. J. Oper. Res. 27 (1986), 371-382. https://doi.org/10.1016/0377-2217(86)90333-4.
  3. D. Kalpanapriya, P. Pandian, Statistical Hypotheses Testing With Imprecise Data, Appl. Math. Sci. 6 (2012), 5285-5292.
  4. D. Kalpanapriya, P. Pandian, Tests of Statistical Hypotheses With Respect to a Fuzzy Set, Modern Appl. Sci. 8 (2014), 25-35. https://doi.org/10.5539/mas.v8n1p25.
  5. H.C. Wu, Statistical Hypotheses Testing for Fuzzy Data, Inform. Sci. 175 (2005), 30-56. https://doi.org/10.1016/j.ins.2003.12.009.
  6. H.C. Wu, Statistical Confidence Intervals for Fuzzy Data, Expert Syst. Appl. 36 (2009), 2670-2676. https://doi.org/10.1016/j.eswa.2008.01.022.
  7. L.A. Zadeh, Fuzzy Sets, Inform. Control. 8 (1965), 338-353. https://doi.org/10.1016/s0019-9958(65)90241-x.