On Triangular Norm Based Fuzzy Description Logics
نویسندگان
چکیده
Description Logics (DLs) are knowledge representation languages useful to represent concepts and roles. Fuzzy Description Logics (FDLs) incorporate both vague concepts and vague roles modeling them as fuzzy sets and fuzzy relations respectively. In the present paper, following ideas from Hájek, we propose the use of t-norm based (fuzzy) logics with truth constants in the language as logics underlying the fuzzy description language. We introduce the languages ALC_L*(Al[S]) and ALC_L*_(Al[S]) as an adequate syntactical counterpart of some semantic calculi given in different works dealing with FDLs. Source URL: https://www.iiia.csic.es/en/node/55308 Links [1] https://www.iiia.csic.es/en/bibliography?f[author]=1071 [2] https://www.iiia.csic.es/en/staff/eva-armengol [3] https://www.iiia.csic.es/en/staff/francesc-esteva [4] https://www.iiia.csic.es/en/bibliography?f[keyword]=578 [5] https://www.iiia.csic.es/en/bibliography?f[keyword]=435 [6] https://www.iiia.csic.es/en/bibliography?f[keyword]=875 [7] https://www.iiia.csic.es/en/bibliography?f[keyword]=873 [8] https://www.iiia.csic.es/en/bibliography?f[keyword]=874
منابع مشابه
On Triangular Norm-Based Propositional Fuzzy Logics
Fuzzy logics based on triangular norms and their corresponding conorms are investigated. An aarmative answer to the question whether in such logics a speciic level of satissability of a set of formulas can be characterized by the same level of satissability of its nite subsets is given. Tautologies, contradictions and contingencies with respect to such fuzzy logics are studied, in particular fo...
متن کاملTriangular norm based predicate fuzzy logics
5 The paper surveys the present state of knowledge on t-norm based predicate fuzzy logics with their double semantics: standard (the set of truth values being the real interval [0,1]) and general with abstract algebras of truth functions. 7 © 2009 Published by Elsevier B.V.
متن کاملPropositional fuzzy logics based on Frankt - norms : A comparisonErich
Among various approaches to fuzzy logics, we have chosen two of them, which are built up in a similar way. Although starting from diierent basic logical connectives, they both use interpretations based on Frank t-norms. Diierent interpretations of the implication lead to diierent axiomatizations, but most logics studied here are complete. We compare the properties, advantages and disadvantages ...
متن کاملAlgebraic study of axiomatic extensions of triangular norm based fuzzy logics
xiii Acknowledgements / Agräıments xv
متن کاملDerived fuzzy importance of attributes based on the weakest triangular norm-based fuzzy arithmetic and applications to the hotel services
The correlation between the performance of attributes and the overallsatisfaction such as they are perceived by the customers is often used tocalculate the importance of attributes in the crisp case. Recently, the methodwas extended, based on the standard Zadeh extension principle, to the fuzzycase, taking into account the specificity of the human thinking. Thedifficulties of calculation are im...
متن کامل