DocumentCode :
2253007
Title :
Incoherent objects and fuzzy sets
Author :
Resconi, Germano
Author_Institution :
Dept. of Mathematics & Phys., Catholic Univ., Brescia, Italy
Volume :
1
fYear :
2004
fDate :
25-29 July 2004
Firstpage :
269
Abstract :
In this paper we introduce the concept of the incoherent object with the use of the modal logic structure. The definition of the incoherent object is inside the meta-theory of uncertainty that represent the fuzzy set algebras by the definition of the world. We improve the traditional definition of the world by the conceptual space and the uncertainty by the nonlocality inside the conceptual space. Context is included as the geometric reference in a non Euclidean set of coordinates of quality dimension or features. Every logic expression can be written in a traditional way or by the action of semantic agents that change the logic value of the logic variables in a subset of the worlds. Fuzzy sets and fuzzy invariants are introduced by the conflicting set of evaluation in different worlds. We can rewrite the classical axiomatic structure in the classical logic in a new pseudo-axiomatic structure that represent any type of fuzzy reasoning.
Keywords :
formal logic; fuzzy reasoning; fuzzy set theory; fuzzy invariants; fuzzy reasoning; fuzzy set algebras; incoherent objects; modal logic structure; pseudo-axiomatic structure; Algebra; Fuzzy logic; Fuzzy reasoning; Fuzzy set theory; Fuzzy sets; Mathematics; Physics; Set theory; Temperature; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on
ISSN :
1098-7584
Print_ISBN :
0-7803-8353-2
Type :
conf
DOI :
10.1109/FUZZY.2004.1375732
Filename :
1375732
Link To Document :
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