A New Approach to Randomized Response Model Using Fuzzy Numbers
Tanveer Ahmad Tarray,
Asian Journal of Mathematics & Statistics,
2018, 11(1), 1-11.
The crux of this study is to consider a randomized response model using allocation problem in presence of non-response based on model
and minimize the variance subject to cost constraint. The costs (measurement costs and total budget of the survey) in the cost constraint
are assumed as fuzzy numbers, in particular triangular and trapezoidal fuzzy numbers due to the ease of use. The problem formulated
is solved by using Lagrange multipliers technique and the optimum allocation obtained in the form of fuzzy numbers is converted into
crisp form using α-cut method at a prescribed value of α. Numerical illustrations are also given in support of the present study and the
results are formulated through LINGO.
Cited References Fulltext