Advances in Fuzzy Systems (Jan 2014)

An Extended Analytical Approach to Evaluating Monotonic Functions of Fuzzy Numbers

  • Arthur Seibel,
  • Josef Schlattmann

DOI
https://doi.org/10.1155/2014/892363
Journal volume & issue
Vol. 2014

Abstract

Read online

This paper presents an extended analytical approach to evaluating continuous, monotonic functions of independent fuzzy numbers. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.