Journal ArticleDOI
Fuzzy representations need a careful design
Enric Trillas,Sergio Guadarrama +1 more
TLDR
The way in which this design of the representation is done by means of fuzzy sets, connectives and relations marks a distinction between the fuzzy and the formal logic methodologies, two different disciplines whose design process and agendas are not coincidental.Abstract:
This paper tries to show, from a theoretical perspective, the importance of designing well the representation of fuzzy systems whose behaviour is described by a linguistic description. The way in which this design of the representation is done by means of fuzzy sets, connectives and relations marks a distinction between the fuzzy and the formal logic methodologies, two different disciplines whose design process and agendas are not coincidental.read more
Citations
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Journal ArticleDOI
An essay on the linguistic roots of fuzzy sets
TL;DR: This paper mainly tries to show that the membership function of a fuzzy set labeled P does show some intrinsic property related with how P is actually managed in the universe of discourse.
Journal ArticleDOI
A model for “crisp reasoning” with fuzzy sets
TL;DR: This paper deals with a new theoretic view on the commonsense reasoning, consisting of a kind of Popper's search for conjectures and refutations, represented by crisp and fuzzy sets.
Book ChapterDOI
Some Reflections on Fuzzy Set Theory as an Experimental Science
TL;DR: It is argued that Trillas’s claim not only strongly supports the necessity for such a distinction, but provides a path of investigation which can preserve the conceptual innovativeness of the notion of fuzziness.
Proceedings ArticleDOI
Reasons for a careful design of fuzzy sets
Enric Trillas,Claudio Moraga +1 more
TL;DR: It is concluded that as argued in the case of fuzzy sets, the involved operations in rules and systems should be at least carefully chosen, if not specially designed.
Journal ArticleDOI
Likelihood-fuzzy analysis: From data, through statistics, to interpretable fuzzy classifiers
TL;DR: A method named Likelihood-Fuzzy Analysis for translating statistical information coming from labeled data into a fuzzy classification system is proposed, showing high performances and semantic power, with respect to well-established methods, including fuzzy systems and non-fuzzy approaches.
References
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Book
An Introduction to Fuzzy Control
TL;DR: Fuzzy controllers are a class of knowledge based controllers using artificial intelligence techniques with origins in fuzzy logic that can be found either as stand-alone control elements or as int ...
Book
Fuzzy control and fuzzy systems
TL;DR: Presents extensive and updated material concerned with the methodology and algorithms of fuzzy sets considered mainly in the context of control engineering and system modeling and analysis.
Fuzzy SETS AND FUZZY LOGIC
TL;DR: Lotfi Zadeh (1965) introduced fuzzy set theory and fuzzy logic, and promoted these as a way of reasoning about uncertainty in computer systems.