Fuzzy linear programming based on statistical confidence interval and interval-valued fuzzy set

Fuzzy linear programming based on statistical confidence interval and interval-valued fuzzy set

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Article ID: iaor20014178
Country: Netherlands
Volume: 129
Issue: 1
Start Page Number: 65
End Page Number: 86
Publication Date: Feb 2001
Journal: European Journal of Operational Research
Authors:
Keywords: fuzzy sets
Abstract:

In this paper we use statistical data and statistical confidence interval to derive level 1 − α fuzzy numbers, 0<α<1 and get a fuzzy linear programming problem. We use two statistical confidence intervals to derive level (1−β, 1−α) interval-valued fuzzy numbers, 0<α<β<1, and get another fuzzy linear programming problem. We will give examples and solve them.

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