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Fuzzy Description Logics and t-norm based fuzzy logics

International Journal of Approximate Reasoning, 2010
Description Logics (DLs) are knowledge representation languages built on the basis of classical logic. DLs allow the creation of knowledge bases and provide ways to reason on the contents of these bases. Fuzzy Description Logics (FDLs) are natural extensions of DLs for dealing with vague concepts, commonly present in real applications.
Garcı´a-Cerdaña, Àngel, Armengol, Eva, Esteva, Francesc   +2 more
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Paraconsistency properties in degree-preserving fuzzy logics [PDF]

Soft Computing, 2014
Paraconsistent logics are specially tailored to deal with inconsistency, while fuzzy logics primarily deal with graded truth and vagueness. Aiming to find logics that can handle inconsistency and graded truth at once, in this paper we explore the notion ...
Ertola, Rodolfo, Esteva, Francesc, Flaminio, Tommaso, Godo, Lluis, Noguera, Carles   +4 more
core   +3 more sources

Classifiation of Ordered Semigroups Through Neutrosophic Generalized bi-ideals with Applications [PDF]

Neutrosophic Sets and Systems, 2022
An icebreaking theory known as neutrosophic theory opened a new direction for researchers of philosophy, logics, set theory and probability/statistics. Neutrosophy put the point base for a entire household of new mathematical speculations that summarized
Faiz Muhammad Khan, Madad Khan, Ihsanullah   +2 more
doaj   +1 more source

Prioritization of forest fire hazard risk simulation using Hybrid Grey Relativity Analysis (HGRA) and Fuzzy Analytical Hierarchy Process (FAHP) coupled with multicriteria decision analysis (MCDA) techniques – a comparative study analysis

Geodesy and Cartography, 2021
Forests are important dynamic systems which are widely attracted by wild fires worldwide. Due to the complexity and non-linearity of the causative forest fire problems, employing sophisticated hybrid evolutionary algorithms is a logical task to achieve a
Michael Stanley Peprah, Bernard Kumi-Boateng, Edwin Kojo Larbi   +2 more
doaj   +1 more source

Characteristic Logics for Behavioural Hemimetrics via Fuzzy Lax Extensions [PDF]

Logical Methods in Computer Science, 2022
In systems involving quantitative data, such as probabilistic, fuzzy, or metric systems, behavioural distances provide a more fine-grained comparison of states than two-valued notions of behavioural equivalence or behaviour inclusion.
Paul Wild, Lutz Schröder
doaj   +1 more source

Operators for Uncertain Over/Under/Off-Sets/-Logics/-Probabilities/-Statistics [PDF]

Neutrosophic Sets and Systems
In this paper we propose for the first time the operators (intersection/conjunction and union/disjunction) for the Uncertain Over/Under/Off-Sets/-Logics/-Probabilities-Statistics. Practical applications of Fuzzy Over/Under/Off-Sets/-Logics/-Probabilities-
Florentin Smarandache
doaj   +1 more source

A Neutrosophic Description Logic [PDF]

, 2008
Description Logics (DLs) are appropriate, widely used, logics for managing structured knowledge. They allow reasoning about individuals and concepts, i.e. set of individuals with common properties.
ANDRÉ ROGATKO, Bacchus F., FLORENTIN SMARANDACHE, HAIBIN WANG, Pearl J., RAJSHEKHAR SUNDERRAMAN, Smarandache F., Straccia U., Wang H.   +8 more
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Graded Logics [PDF]

Interdisciplinary Description of Complex Systems
This article reviews graded logics. A brief overview of various kinds of logics, classical, fuzzy and graded, is given. Their role in modelling reasoning and differences between logics are discussed. Graded logic specifically is discussed.
Dragan Z. Šaletić
doaj   +1 more source

Reducing fuzzy answer set programming to model finding in fuzzy logics [PDF]

, 2011
In recent years, answer set programming (ASP) has been extended to deal with multivalued predicates. The resulting formalisms allow for the modeling of continuous problems as elegantly as ASP allows for the modeling of discrete problems, by combining the
Bauters, Bobillo, Damásio, Damásio, DIRK VERMEIR, Fages, Gelfond, Giunchiglia, Hájek, Janssen, JEROEN JANSSEN, Kifer, Lakshmanan, Loyer, Lukasiewicz, Madrid, MARTINE DE COCK, Nicolas, Shapiro, STEVEN SCHOCKAERT, Straccia, Straccia, Van Nieuwenborgh, Wagner   +23 more
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Substructural fuzzy logics

Journal of Symbolic Logic, 2007
AbstractSubstructural fuzzy logics are substructural logics that are complete with respect to algebras whose lattice reduct is the real unit interval [0, 1]. In this paper, we introduce Uninorm logicULas Multiplicative additive intuitionistic linear logicMAILLextended with the prelinearity axiom((A → B) ∧ t) V ((B → A)∧ t).
Metcalfe G., Montagna F.
openaire   +4 more sources