History of the Controversy on the Introduction of Fuzzy Logic

Abstract

The problems of uncertainty, imprecision and vagueness have been discussed for many years. These problems have been important themes in philosophical circles, with many logic to deal with the concepts and perceptions that are imprecise or vague. Fuzzy logic (which is usually translated into Castilian by “Lógica Difusa” or “Lógica Borrosa”, but also "Lógica Heurística") can be considered a “divergent logic”, or "deviant logic" (many-valued logic, MVL, as acronym). It is based on, and is closely related to the theory of fuzzy sets, and is applied with increasing success in the treatment of information and control of various fuzzy systems. You might think that fuzzy logic is very recent and has worked only for a short time, but its origins date back at least to the Greek philosophers. It even seems possible to trace its origins in ancient China and India. Because it seems that they were the first to note that not all things have to be of a certain type or cease to be, but there may be - and indeed any, a wide range of intermediate states. I mean, that would be the pioneers in considering that should not be considered only a few degrees absolute and totally opposed, but can be any, and indeed the whole a scale from highest to lowest degree of both truth and falsehood. For colors, for example, between black and white there is a whole infinite scale of gray tones. Recent theorems show that in principle, fuzzy logic can be used to model any continuous system based on artificial intelligence, or physics or biology, or economics ... therefore in many fields that can be found fuzzy logic models and common sense are the most useful, and more desired or those that are standard, including classical mathematics could consider. We will discuss here the history and development of this problem: the Vagueness, or Fuzziness, “borrosidad” in Castilian, which is essential to work with uncertainty.