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Information Sciences, 2011
In this study, we establish an interesting connection between two mathematical approaches to vagueness: rough sets and soft sets. Soft set theory is utilized, for the first time, to generalize Pawlak's rough set model. Based on the novel granulation structures called soft approximation spaces, soft rough approximations and soft rough sets are ...
Feng Feng +3 more
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In this study, we establish an interesting connection between two mathematical approaches to vagueness: rough sets and soft sets. Soft set theory is utilized, for the first time, to generalize Pawlak's rough set model. Based on the novel granulation structures called soft approximation spaces, soft rough approximations and soft rough sets are ...
Feng Feng +3 more
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Information Sciences, 2007
Molodtsov introduced the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. In this paper we introduce the basic properties of soft sets, and compare soft sets to the related concepts of fuzzy sets and rough sets.
Çağman, Naim, AKTAŞ, Hacı
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Molodtsov introduced the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. In this paper we introduce the basic properties of soft sets, and compare soft sets to the related concepts of fuzzy sets and rough sets.
Çağman, Naim, AKTAŞ, Hacı
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Fuzzy Soft Set and Soft Fuzzy Set
2008 Fourth International Conference on Natural Computation, 2008In this paper the concept of soft fuzzy set is given and an example is presented which testifies the existing significance of soft fuzzy set. Then some properties on soft fuzzy set are discussed. At last the relations of fuzzy soft sets and soft fuzzy sets are compared by instances.
Jinliang Liu, Bing-xue Yao, Ruixia Yan
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On Induced Soft Sets and Topology for the Parameter Set of a Soft Set
2015 IEEE International Conference on Computer and Information Technology; Ubiquitous Computing and Communications; Dependable, Autonomic and Secure Computing; Pervasive Intelligence and Computing, 2015Soft sets can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we introduce the concept of induced soft set based on point-set mapping, some operations on induced soft sets are discussed, and the algebraic structures of induced soft sets, e.g., the lattice structure and the soft quotient algebra, are established. Based on
Jin Liu +3 more
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Soft Sets and Soft Modules [PDF]
, 2008 Molodtsov introduced the concept of soft sets.Recently, Aktas et al. generalized soft sets by defining the concept of soft groups. In this paper, we present the definition of soft modules and construct some basic properties using modules and Molodtsov's definition of soft sets.
Jing Liu, Zi-Long Zhang, Qiu-Mei Sun
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Logic Connectives for Soft Sets and Fuzzy Soft Sets
IEEE Transactions on Fuzzy Systems, 2014Collections of soft sets and fuzzy soft sets are complete modular lattices with respect to certain binary operations. Therefore, logic connectives such as Triangular norms, Triangular conorms, and implications may be studied for them. A major hurdle in this study is that soft sets and fuzzy soft sets are not sets and fuzzy sets, respectively. Actually,
Muhammad Irfan Ali, Muhammad Shabir
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A note on soft sets, rough soft sets and fuzzy soft sets
Applied Soft Computing, 2011Abstract: Concept of an approximation space associated with each parameter in a soft set is discussed and an approximation space associated with the soft set is defined. For any subset X of the universe U, there is a fuzzy subset of U associated with each parameter of the soft set, also there is a fuzzy subset associated with the soft set.
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