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We further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001).
Bashir Ahmad 0002, Athar Kharal
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Fuzzy sets and (fuzzy) random sets in Econometrics and Statistics
The research in the present manuscript has been partially supported by the Spanish Government through MINECO-18-MTM2017-89632-P Grant. Their finantial support is greatfully acknowledged.
Ana Colubi, Ana Belén Ramos-Guajardo
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Fuzzy Neutrosophic Strongly Alpha Generalized Closed Sets in Fuzzy Neutrosophic Topological spaces [PDF]
In this paper, we will define a new set called fuzzy neutrosophic strongly alpha generalized closed set, so we will prove some theorems related to this concept.
Shaymaa F. Matar, Fatimah M. Mohammed
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In this paper, four new operators (O1,O2,O3,O4) are proposed, defined and considered to study the new properties and identities on hesitant fuzzy sets. Since these operators are useful for different operation on hesitant fuzzy sets, the various theorems ...
G.S. Thakur, Rekha Thakur, Ravi Singh
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In recent decades, several types of sets, such as fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, type 2 fuzzy sets, type 𝑛 fuzzy sets, and hesitant fuzzy sets, have been introduced and ...
Bin Zhu, Zeshui Xu, Meimei Xia
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Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications
In recent years, the fuzzy sets, interval-valued fuzzysets, intuitionistic fuzzy sets and soft sets, which offer differentperspectives for the structures containing the uncertainties, have attractedthe interest of many researchers.
Hüseyin Kamacı
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m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets
Recently, bipolar fuzzy sets have been studied and applied a bit enthusiastically and a bit increasingly. In this paper we prove that bipolar fuzzy sets and 0,12-sets (which have been deeply studied) are actually cryptomorphic mathematical notions. Since
Juanjuan Chen +3 more
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A novel concept of quaternionic fuzzy sets (QFSs) is presented in this paper. QFSs are a generalization of traditional fuzzy sets and complex fuzzy sets based on quaternions.
Songsong Dai
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Gradual Sets: An Approach to Fuzzy Sets
In the fuzzy theory of sets and groups, the use of α-levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong α-levels, it is possible to establish a one to one correspondence which makes possible doubly, a gradual and a functorial treatment of the fuzzy theory.
Josefa M. García, Pascual Jara
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Intuitionistic fuzzy sets and some of their so-called extensions [PDF]
In the present paper we investigate the relationship between intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and some proposed extensions of fuzzy sets, intuitionistic fuzzy sets, and sets that have similar structure.
Krassimir Atanassov +2 more
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