Multiobjective intuitionistic fuzzy programming under pessimistic and optimistic applications in multivariate stratified sample allocation problems

This study investigates the compromise allocation of multivariate stratified sampling with complete response and nonresponse. We have formulated a multivariate stratified sampling problem as a mathematical programming problem to estimate p -population means with complete response and nonresponse for...

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Veröffentlicht in:PloS one Jg. 18; H. 4; S. e0284784
Hauptverfasser: Raghav, Yashpal Singh, Haq, Ahteshamul, Ali, Irfan
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States Public Library of Science 21.04.2023
Public Library of Science (PLoS)
Schlagworte:
Allocations
Approximation
Biology and Life Sciences
Computer and Information Sciences
Computer Simulation
Dynamic programming
Engineering and Technology
Evaluation
Fuzzy Logic
Investment analysis
Lagrange multiplier
Linear programming
Mathematical programming
Multivariate analysis
National planning
Optimization
Optimization techniques
Physical Sciences
Research and Analysis Methods
Sample size
Sample variance
Sampling
Social Sciences
Software
Statistics
Surveys
Wildlife
Wildlife surveys
India
ISSN:1932-6203, 1932-6203
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Zusammenfassung:This study investigates the compromise allocation of multivariate stratified sampling with complete response and nonresponse. We have formulated a multivariate stratified sampling problem as a mathematical programming problem to estimate p -population means with complete response and nonresponse for a fixed cost. Then, the compromise allocations for sample designs are determined by implementing intuitionistic fuzzy programming using optimistic and pessimistic solution strategies. A simulation study is carried out using the Stratify R software program to demonstrate the complete solution process. In wildlife, agricultural and marketing-related surveys, the study could be helpful. Also, the national planning policies related to surveys in such cases this study could be helpful. This study is an attempt to solve the sampling optimization problem using the Lingo-18 optimization program.
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Current address: Department of Mathematics & Statistics, Integral University, Lucknow, India
Competing Interests: The authors have declared that no competing interests exist.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0284784