منابع مشابه
The algebra of fuzzy truth values
The purpose of this paper is to give a straightforward mathematical treatment of algebras of fuzzy truth values for type-2 fuzzy sets.
متن کاملAutomorphisms of the Algebra of Fuzzy Truth Values
This paper is an investigation of the automorphisms of the algebra of truth values of type-2 fuzzy sets. This algebra contains isomorphic copies of the truth value algebras of type-1 and of interval-valued fuzzy sets. It is shown that these subalgebras are characteristic; that is, are carried onto themselves by automorphisms of the containing algebra of truth values of fuzzy sets. Some other re...
متن کاملAutomorphisms of the Algebra of Fuzzy Truth Values II
One special subalgebra of the algebra of fuzzy truth values is the set of those elements that take only 0 and 1 as values. This subalgebra is in one-to-one correspondence with the subsets of the unit interval, but the operations do not correspond to ordinary union and intersection. The automorphisms of this subalgebra are studied here, resulting in showing that the subobjects corresponding to n...
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In this paper we introduce an algebra whose ground set is a denumerable set of linguistic truth-values . On this set we define some appropriate operators corresponding to each logical connective of a given propositional language. This algebra will play a role of semantics for the given propositional logic. We investigate the properties of this algebra and the related operators and show that it ...
متن کاملFuzzy Descriptions Logics with Fuzzy Truth Values
Fuzzy Description Logics are a family of logics which allow to deal with structured knowledge affected by vagueness. Although a relatively important amount of work has been carried out in the last years, current fuzzy DLs are open to be extend with several features worked out in the fuzzy logic literature. In this work, we extend fuzzy DLs with fuzzy truth values, allowing to state sentences su...
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2005
ISSN: 0165-0114
DOI: 10.1016/j.fss.2003.12.003