# Simulation Support to Grey-Related Analysis: Data Mining Simulation

• David L. Olson
• Desheng Wu
Chapter
Part of the Springer Optimization and Its Applications book series (SOIA, volume 16)

## Abstract

This chapter addresses the use of Monte Carlo simulation to reflect uncertainty as expressed by fuzzy input. Fuzziness is expressed through grey-related analysis, using interval fuzzy numbers. The method standardizes inputs through norms of interval number vectors. Interval-valued indexes are used to apply multiplicative operations over interval numbers. The method is demonstrated on a practical problem. Simulation offers a more complete understanding of the possible outcomes of alternatives as expressed by fuzzy numbers. The focus is on probability rather than on maximizing expected or extreme values.

## Key words

Fuzzy sets Monte Carlo simulation grey-related analysis data mining

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## Authors and Affiliations

• David L. Olson
• 1
• Desheng Wu
• 2
• 3
1. 1.Department of ManagementUniversity of NebraskaLincoln
2. 2.Department of Mechanical and Industrial EngineeringUniversity of TorontoToronto
3. 3.School of BusinessUniversity of Science and Technology of ChinaHefei AnhuiChina