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A complex circular intuitionistic fuzzy decision framework for evaluating sustainable agriculture strategies under uncertainty. [PDF]
Sci RepYu Y.
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A multi-dimensional evaluation model for power enterprise procurement performance based on fuzzy analytic hierarchy process and TOPSIS integration. [PDF]
Sci RepZhao H, Song S, Lv X, Bao Y.
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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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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 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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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, 2019This 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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Fuzzy Numbers and Fuzzy Arithmetic
2008The 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, 2002Basic 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), 2016Irrelevance, 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, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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