Results 131 to 140 of about 3,350 (195)

Implementing fuzzy arithmetic

Fuzzy Sets and Systems, 1995
This paper presents the authors' efforts towards the development of an effective and friendly working tool for fuzzy arithmetic. It describes the two programming libraries currently produced. The first, implemented using the Fortran language, provides high precision computational capabilities, to demonstrate the feasibility and the correctness of a ...
A.M. Anile, S. Deodato, G. Privitera
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Gradual interval arithmetic and fuzzy interval arithmetic

Granular Computing, 2019
This paper proposes an analysis of and a reflection on interval arithmetic (IA) and its extension to gradual interval arithmetic (GIA). Through this reflection, an overview of a part of IA that is directly related to fuzzy interval arithmetic (FIA) is analyzed, compared, and categorized according to two main families of IA: standard interval arithmetic
Reda Boukezzoula   +3 more
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A new fuzzy arithmetic

Fuzzy Sets and Systems, 1999
Following \textit{R. Goetschel jun.} and \textit{W. Voxman} [Fuzzy Sets Syst. 18, 31-43 (1986; Zbl 0626.26014)] the authors define a fuzzy number as a triple \((u_0, u_*, u^*)\) where the real number \(u_0\) is a location parameter and \(u_*,\;u^*\) are decreasing fuzziness index functions.
Ma, Ming   +2 more
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Fuzzy Numbers and Fuzzy Arithmetic

2008
The arithmetical and topological structures of fuzzy numbers have been developed in the 1980s and this enabled to design the elements of fuzzy calculus (see [6, 7]); Dubois and Prade stated the exact analytical fuzzy mathematics and introduced the well-known LR model and the corresponding formulas for the fuzzy operations. For the basic concepts see, e.
STEFANINI LUCIANO   +2 more
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On constrained fuzzy arithmetic

Proceedings of IEEE 5th International Fuzzy Systems, 2002
Basic principles of constrained fuzzy arithmetic are introduced as generalizations of the usual (unconstrained) fuzzy arithmetic. It is shown that these principles are applicable to both crisp and fuzzy constraints. The significance of constrained fuzzy arithmetic is illustrated by a few simple examples.
G.J. Klir, J.A. Cooper
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Irrelevance in Incomplete Fuzzy Arithmetic

2016 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2016
Irrelevance, a notion which was first put forward by this author jointly with A. Sgarro, is a convenient tool to speed up computations in the arithmetic of interactive fuzzy numbers. In this paper we are trying to understand what happens if the fuzzy quantities one is considering are incomplete, or sub-normal, that is if one allows that a fuzzy ...
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Weak arithmetics of fuzzy numbers

Fuzzy Sets and Systems, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ARITHMETIC MEAN BASED COMPENSATORY FUZZY LOGIC

International Journal of Computational Intelligence and Applications, 2011
Fuzzy Logic is a multi-valued logic model based on fuzzy set theory, which may be considered as an extension of Boolean Logic. One of the fields of this theory is the Compensatory Fuzzy Logic, based on the removal of some axioms in order to achieve a sensitive and idempotent multi-valued system.
Bouchet, Agustina   +4 more
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Fuzzy Logic and Arithmetical Hierarchy III

Studia Logica, 1997
[For Part I see Fuzzy Sets Syst. 73, No. 3, 359-363 (1995; Zbl 0857.03011).] Fuzzy logic RQL here means an extension of Łukasiewicz's infinite-valued first-order logic by graded notions of provability and of consequence together with (truth degree) constants for all rationals of the truth degree set \([0,1]\).
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