Home : Book details

Petr Hajek on Mathematical Fuzzy Logic free ebook download

Category:
Mathematics

Views: 66
Likes: 0

Catalogue

Author(s):	Franco Montagna

Date:	2015	Format:	pdf	Language:	English	ISBN/ASIN:	3319062328
Pages:	324	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	4/21/2024 5:26:07 AM

To download click on link in the Links Table below

Description: Click to see full description

3319062328 pdf
This volume celebrates the work of Petr Hajek on mathematical fuzzy logic and presents how his efforts have influenced prominent logicians who are continuing his work. The book opens with a discussion on Hajek's contribution to mathematical fuzzy logic and with a scientific biography of him, progresses to include two articles with a foundation flavour, that demonstrate some important aspects of Hajek's production, namely, a paper on the development of fuzzy sets and another paper on some fuzzy versions of set theory and arithmetic.
Articles in the volume also focus on the treatment of vagueness, building connections between Hajek's favorite fuzzy logic and linguistic models of vagueness. Other articles introduce alternative notions of consequence relation, namely, the preservation of truth degrees, which is discussed in a general context, and the differential semantics. For the latter, a surprising strong standard completeness theorem is proved. Another contribution also looks at two principles valid in classical logic and characterize the three main t-norm logics in terms of these principles.

Other articles, with an algebraic flavor, offer a summary of the applications of lattice ordered-groups to many-valued logic and to quantum logic, as well as an investigation of prelinearity in varieties of pointed lattice ordered algebras that satisfy a weak form of distributivity and have a very weak implication.

The last part of the volume contains an article on possibilistic modal logics defined over MTL chains, a topic that Hajek discussed in his celebrated work, Metamathematics of Fuzzy Logic, and another one where the authors, besides of offering unexpected premises such as proposing to call Hajek's basic fuzzy logic HL, instead of BL, propose a very weak system, called SL as a candidate for the role of the really basic fuzzy logic. The paper also provides a generalization of the prelinearity axiom, which was investigated by Hajek in the context of fuzzy logic.

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3256457	Book	https://nitroflare.com/view/578D681F6DE5...		3.00	eternal

Tags: Fuzzy Hajek Logic Mathematical Petr

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment:

Petr Hajek on Mathematical Fuzzy Logic free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics