Results 151 to 160 of about 5,089 (201)

On Fuzzy RDM-Arithmetic

2016
The paper presents notion of horizontal membership function (HMF) and based on it fuzzy, relative distance measure (fuzzy RDM) arithmetic that is compared with standard fuzzy arithmetic (SF arithmetic). Fuzzy RDM-arithmetic possess such mathematical properties which allow for achieving complete fuzzy solution sets of problems, whereas SF-arithmetic, in
Andrzej Piegat, Marek Landowski
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A New Fuzzy Arithmetic for Discrete Fuzzy Numbers

Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), 2007
In this paper, using the representations of discrete fuzzy numbers, we give a new kind of operations of addition and multiplication for discrete fuzzy numbers. Then, we show that the new addition and multiplication keep the closeness of the operation, so they get over the defect that the usual addition and multiplication does not keep the closeness of ...
Guixiang Wang, Chenglin Wen
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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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Extension of the Fuzzy Database with Fuzzy Arithmetic

IFAC Proceedings Volumes, 1983
Abstract The fuzzy relational database model originated by the authors permits fuzzy domain values from a discrete, finite universe. The model is extended here by demonstrating that fuzzy numbers may be employed as domain values without loss of consistency with respect to representation or the relational algebra.
B.P. Buckles, F.E. Petry
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Inclusion principle of fuzzy arithmetic results

Journal of Intelligent & Fuzzy Systems, 2022
The paper presents the inclusion principle of fuzzy arithmetic results. This principle explains what features should have the span of the result of calculations realized with use of the fuzzy arithmetic. If some kind of fuzzy arithmetic provides results that do not comply with this principle, it means that the arithmetic has incomplete reliability, has
Piegat, Andrzej, Pluciński, Marcin
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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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Approximate fuzzy arithmetic operations using monotonic interpolations

Fuzzy Sets and Systems, 2005
We suggest the use of piecewise monotonic interpolations to approximate and represent a fuzzy number (or interval) and to derive a procedure to control the absolute error associated to the arithmetic operations (+,-,⋅,:) between fuzzy numbers, in ...
Maria Letizia Guerra, Luciano Stefanini
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Fuzzy arithmetic with requisite constraints

Fuzzy Sets and Systems, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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