Difference between revisions of "Fuzzy language logic"

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<!--1-->In this chapter, we will discuss '''fuzzy logic'''. It is called ''fuzzy'' because it is characterized by a gradualness: an object can be attributed a quality that can have ''various degrees of truth''.
In this chapter, we will discuss '''fuzzy logic'''. It is called ''fuzzy'' because it is characterized by a gradualness: an object can be attributed a quality that can have ''various degrees of truth''.


<!--2-->In the first part of this chapter, the meaning of graded truth will be conceptually discussed, while in the second part, we will delve into the mathematical formalism by introducing the membership function <math>\mu_{\displaystyle {\tilde {A}}}(x)</math>: the element that allows us to mathematically synthesize the nuances of this logic of language. <!--3-->It has been possible to show that with ‘fuzzy’ reasoning, unlike the previous logics of language, the diagnoses show less uncertainty. Despite this, however, the need is still felt to further refine the language method and enrich it with further ‘logics’.{{ArtBy|
In the first part of this chapter, the meaning of graded truth will be conceptually discussed, while in the second part, we will delve into the mathematical formalism by introducing the membership function <math>\mu_{\displaystyle {\tilde {A}}}(x)</math>: the element that allows us to mathematically synthesize the nuances of this logic of language. It has been possible to show that with ‘fuzzy’ reasoning, unlike the previous logics of language, the diagnoses show less uncertainty. Despite this, however, the need is still felt to further refine the language method and enrich it with further ‘logics’.{{ArtBy|
| autore = Gianni Frisardi
| autore = Gianni Frisardi
| autore2 = Riccardo Azzali
| autore2 = Riccardo Azzali
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