The Algebraic Properties of Linguistic Value “Truth” and Its Reasoning View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2007

AUTHORS

Zheng Pei

ABSTRACT

From logic and algebra point of view, Computing with words is discussed in this paper. By analyzing the semantically ordering relation of linguistic variable Truth, orderings on linguistic hedges H and atomic evaluating syntagm Tr = {true, false} are obtained, respectively. Let H be finite chain, then Lukasiewicz product algebra of T = H×Tr of Truth is obtained, and term-set T(X) of Truth is embedded into an algebra Γ of type Δ = { ∨ , ∧ , ′,→ L }. In some cases, Γ can be applied in linguistic decision directly, also as truth domain of logic statements. Different with other truth domain, here truth values are linguistic terms rather than numerals (or symbolic). More... »

PAGES

436-444

References to SciGraph publications

Book

TITLE

Foundations of Fuzzy Logic and Soft Computing

ISBN

978-3-540-72917-4
978-3-540-72950-1

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-540-72950-1_43

DOI

http://dx.doi.org/10.1007/978-3-540-72950-1_43

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1050616033


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