FUZZY LOGIC.pdf

Allied Journals, 2015

The problems of uncertainty, imprecision and vagueness have been discussed for many years. These problems have been major topics in philosophical arenas with series of debate, in particular, about the nature of vagueness and the ability of traditional Boolean logic to cope with concepts and perceptions that are imprecise or vague. These sometimes make experts to rely on common sense when they solve problems. Interestingly, a lot of experts such as scientists, philosophers, psychologists, great mathematicians and others, researched vehemently on fuzzy logic, putting each other under constant scrutiny in response to their individual propositions coupled with fuzzy logic not until Zadeh Lotfi, eventually conceived fuzzy logic in 1971. Fuzzy logic is not logic that is fuzzy, but logic that is used to describe fuzziness. Fuzzy logic is the theory of fuzzy sets, sets that calibrate vagueness. Fuzzy logic is based on the idea that all things admit of degrees. Temperature, height, speed, distance, beauty, handsome, ugly, walk, stand all comes on a sliding scale. My car is running really hot. Elvis is a very tall guy. Fuzzy logic reflects how people think. It attempts to model our sense of words, our decision making and our common sense. As a result, it is leading to new, more human, intelligent systems.

Studies in Fuzziness and Soft Computing, 2009

In spite of its successes as a tool in the field of engineering, fuzzy set theory has yet to achieve the universal footing that probability theory has across the various fields of mathematics, technology, philosophy and psychology. This paper sets out points of critique brought up regarding the fuzzy approach and seeks to analyze them, focusing on the question of whether anything that can be done about these matters. Do these criticisms have any practical relevance or any relevance with respect to the intended fields of usage. Do they or do they not diminish fuzzy logic's suitability as a theory of vagueness?

2011

Towards Hybrid and Adaptive Computing, 2010

International Journal of General Systems, 2012

Mathematical Principles of Fuzzy Logic, 1999

Studium Philosophicum , 2024

Fuzzy Logic is nowadays a very popular logic methodology. Different kinds of applications in cybernetics, in software programming and its growing use in medicine seems to make Fuzzy Logic a very important calculus in science and technology. Fuzzy logic is based on the fuzzy set theory (Zadeh, 1965). In the classical set theory the value of membership function of an element to a set is 0 or 1, while in the fuzzy set theory the membership function of an element to a set may have limited or infinite values that are between 0 and 1. Therefore in the fuzzy logic systems partially true premises provide partially true conclusions. The FL system is a simple model of fuzzy logic: connectives, inference rules and examples of inferences will be discussed. Is fuzzy logic against the principles of classical logic or is it an extension of classical logic? Probabilistic and fuzzy logic deals with uncertainty: is probabilistic logic reducible to fuzzy logic? What does it mean? Moreover, I will answer to the question whether Fuzzy logic is or is not the key of the formalization of natural language.