Probabilistic uncertainty and imprecision in structural parameters and in environmental conditions and loads are challenging phenomena in engineering analyses. They require …
A classical measure is essentially a set function satisfying nonnegativity and countable additivity axioms. However, the additivity axiom of classical measure theory has been …
P Diamond, P Kloeden - Fuzzy sets and systems, 1990 - Elsevier
Two classes of metrics are introduced for spaces of fuzzy sets. Their equivalence is discussed and basic properties established. A characterisation of compact and locally …
Some information and knowledge are usually represented by human language like “about 100km”,“approximately 39° C”,“roughly 80kg”,“low speed”,“middle age”, and “big size”. How …
Real-life decisions are usually made in the state of uncertainty. How do we model optimization problems in uncertain environments? How do we solve these models? The …
Stochastic geometry is a relatively new branch of mathematics. Although its predecessors such as geometric probability date back to the 18th century, the formal concept of a random …
This monograph is an attempt to unify existing works in the field of random sets, random variables, and linguistic random variables with respect to statistical analysis. It is intended to …
M Friedman, M Ma, A Kandel - Fuzzy sets and Systems, 1999 - Elsevier
Using the embedding method, numerical procedures for solving fuzzy differential equations (FDEs) and fuzzy integral equations (FIEs) with arbitrary kernels have been investigated …
M Ma, M Friedman, A Kandel - Fuzzy sets and systems, 1999 - Elsevier
Numerical algorithms for solving 'fuzzy ordinary differential equations'(FODE) are considered. A scheme based on the classical Euler method is discussed in detail, and this is …