Two-Stage Stratified Randomized Response Model with Fuzzy Numbers
Joint Authors
Khan, Mohammad Faisal
Gupta, Neha
Ali, Irfan
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We consider an allocation problem in two-stage stratified Warner’s randomized response 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 .
An illustrative numerical example is presented to demonstrate the proposed problem.
American Psychological Association (APA)
Khan, Mohammad Faisal& Gupta, Neha& Ali, Irfan. 2016. Two-Stage Stratified Randomized Response Model with Fuzzy Numbers. Advances in Fuzzy Systems،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095034
Modern Language Association (MLA)
Khan, Mohammad Faisal…[et al.]. Two-Stage Stratified Randomized Response Model with Fuzzy Numbers. Advances in Fuzzy Systems No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1095034
American Medical Association (AMA)
Khan, Mohammad Faisal& Gupta, Neha& Ali, Irfan. Two-Stage Stratified Randomized Response Model with Fuzzy Numbers. Advances in Fuzzy Systems. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1095034
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095034