#94. New survey paper by Hans-Jürgen Zimmermann

Hans-Jürgen Zimmermann (2010). Fuzzy set theory. Wiley Interdisciplinary Reviews: Computational Statistics 2, 317–332.



This is a basic overview of fuzzy sets for a `foreign' readership. The contents covered are:

-History [strikingly, it finishes in 1992 with the genetic-neuro-fuzzy thing]
-Basic Definitions and Operations
-The Extension Principle
-Fuzzy Relations and Graphs
-Fuzzy Analysis
-Empirical Evidence
-Fuzzy Logic, Approximate Reasoning, and Plausible Reasoning
-Fuzzy Rule-Based Systems (Fuzzy Expert Systems and Fuzzy Control)
-Fuzzy Data Mining
-Fuzzy Decisions
-Fuzzy Optimization

Most of the material can be routinely found in textbook form. Although published in a statistical collection, no effort seems to have been made to craft the text for an audience of statisticians (in particular, the existence of a solid theory of fuzzy random variables isn't even mentioned).


(Note: According to the Wiley website, free access to the Interdisciplinary Reviews will be discontinued in the future. If you find it has been, please leave a comment and I'll remove the link.)

#93. Old lecture notes by Michael Smithson

Lecture notes from a short course on uncertainty which took place in 2004. The approach is very general and leans toward philosophical issues.

Lecture 1. Formal uncertainty frameworks: debates and stalemates (14 pp.)
Lecture 2. Fuzzy sets, statistics, and measurement (18 pp.)
Lecture 3. Human judgment and heuristics, rationality debates (21 pp.)