منابع مشابه
On implicative closure operators in approximate reasoning
This paper introduces a new class of fuzzy closure operators called implicative closure operators, which generalize some notions of fuzzy closure operators already introduced by different authors. We show that implicative closure operators capture some usual consequence relations used in Approximate Reasoning, like Chakraborty s graded consequence relation, Castro et al. s fuzzy consequence rel...
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Torsion theories are here extended to categories equipped with an ideal of 'null morphisms', or equivalently a full subcategory of 'null objects'. Instances of this extension include closure operators viewed as generalised torsion theories in a 'category of pairs', and factorization systems viewed as torsion theories in a category of morphisms. The first point has essentially been treated in [15].
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In an 〈E,M 〉-category X for sinks, we identify necessary conditions for Galois connections from the power collection of the class of (composable pairs) of morphisms in M to factor through the “lattice” of all closure operators on M , and to factor through certain sublattices. This leads to the notion of regular closure operator. As one byproduct of these results we not only arrive (in a novel w...
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In this article we present several logical schemes. The scheme SubrelstrEx concerns a non empty relational structure A, a set B, and a unary predicate P, and states that: There exists a non empty full strict relational substructure S of A such that for every element x of A holds x is an element of S if and only if P[x] provided the following conditions are met: • P[B], • B ∈ the carrier of A. T...
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ژورنال
عنوان ژورنال: International Journal of Fuzzy Logic and Intelligent Systems
سال: 2008
ISSN: 1598-2645
DOI: 10.5391/ijfis.2008.8.1.037