Results 281 to 290 of about 102,660 (317)
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Fuzzy Sets, Intuitionistic Fuzzy Sets
2017In this chapter, we define four separations of generalized interval-valued intuitionistic fuzzy sets (GIVIFSs). In fact, all interval-valued Intuitionistic fuzzy sets (IVIFSs) are GIVIFSs but all GIVIFSs are not IVIFSs. Also, we studied some properties of the four separated subsets of GIVIFSs.
Monoranjan Bhowmik, Madhumangal Pal
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GENUINE SETS, VARIOUS KINDS OF FUZZY SETS AND FUZZY ROUGH SETS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2003In this paper, deriving the type-m fuzzy sets, intuitionistic fuzzy sets, Φ-fuzzy sets, rough sets, fuzzy rough sets and rough fuzzy sets as particular genuine sets, and establishing their connections with genuine sets, it is demonstrated that the theory of genuine sets provides a powerful tool to model various different kinds of uncertainty in a ...
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On Fuzzy Sets Convolution, Fuzzy Lipschitz Sets and Triangular Fuzzy Sets of Rank p
2009In this paper we present some counterexamples to a result related to fuzzy Lipschitz sets and fuzzy sets convolution. Using the concept of fuzzy triangular set of rank p is presented an alternative proof of a interesting density result over fuzzy sets which was previosly proved by using the result belied.
Andrés D. Báez-Sánchez +1 more
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Fuzzy Setting: Fuzziness of General Information
2012The aim of this paper is to give, on the fuzzy setting, a definition of fuzziness for the information without probability or fuzzy measure (general information).
VIVONA, Doretta, Maria Divari
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Fuzzy Sets and Systems, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mila Stojakovic, Zoran Stojakovic
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mila Stojakovic, Zoran Stojakovic
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IEEE Transactions on Fuzzy Systems, 2002
The objective of this paper is to investigate the innovative concept of complex fuzzy sets. The novelty of the complex fuzzy set lies in the range of values its membership function may attain. In contrast to a traditional fuzzy membership function, this range is not limited to [0, 1], but extended to the unit circle in the complex plane.
Daniel Ramot +3 more
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The objective of this paper is to investigate the innovative concept of complex fuzzy sets. The novelty of the complex fuzzy set lies in the range of values its membership function may attain. In contrast to a traditional fuzzy membership function, this range is not limited to [0, 1], but extended to the unit circle in the complex plane.
Daniel Ramot +3 more
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Information Sciences, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohua Banerjee, Sankar K. Pal
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohua Banerjee, Sankar K. Pal
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2006 IEEE International Conference on Fuzzy Systems, 2006
In this paper we introduce a fuzzy implication. The proposed fuzzy implication does not belong in one of the well known three general classes of fuzzy implications (S-implications, R-implications and QL-implications). Also we give an extended model of this fuzzy implication in intuitionistic fuzzy set and/or interval-valued fuzzy sets.
Anestis G. Hatzimichailidis +2 more
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In this paper we introduce a fuzzy implication. The proposed fuzzy implication does not belong in one of the well known three general classes of fuzzy implications (S-implications, R-implications and QL-implications). Also we give an extended model of this fuzzy implication in intuitionistic fuzzy set and/or interval-valued fuzzy sets.
Anestis G. Hatzimichailidis +2 more
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IEEE Transactions on Fuzzy Systems, 2008
In this paper, the notion termed a ldquononstationary fuzzy setrdquo is introduced, and the concept of a perturbation function that is used for generating nonstationary fuzzy sets is presented. Definitions of the basic set operators (the union, the intersection, and the complement) for nonstationary fuzzy sets are given, together with proofs of ...
Jonathan M. Garibaldi +2 more
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In this paper, the notion termed a ldquononstationary fuzzy setrdquo is introduced, and the concept of a perturbation function that is used for generating nonstationary fuzzy sets is presented. Definitions of the basic set operators (the union, the intersection, and the complement) for nonstationary fuzzy sets are given, together with proofs of ...
Jonathan M. Garibaldi +2 more
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On Convexity of Fuzzy Sets and Fuzzy Relations
Information Sciences, 1992A fuzzy set \(A\) on the vector space \(X\) (i.e. \(A\) is a mapping from \(X\) to the unit interval) is called convex if all \(\alpha\)-cuts of \(A\) are convex. The question that paper deals with is: For which operations applied to convex fuzzy sets or convex fuzzy relations is the resulting fuzzy set or relation again convex?
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