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New Hesitant Fuzzy Operators

open access: yesFuzzy Information and Engineering, 2014
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
doaj   +1 more source

A note on operations of hesitant fuzzy sets [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2015
In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively.
Zheng Pei, Liangzhong Yi
doaj   +1 more source

Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications

open access: yesCumhuriyet Science Journal, 2019
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
doaj   +1 more source

m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets

open access: yesThe Scientific World Journal, 2014
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
doaj   +1 more source

On the Convergence of Fuzzy Sets and the Completeness of the Space of Fuzzy Sets

open access: yesJournal of Mathematical Analysis and Applications, 1993
The authors introduce several convergence concepts of fuzzy sets such as convergent in measure, convergent uniformly, \(\mu\)-uniform convergence and \(L^ p\)-convergent. After defining these concepts, the authors construct an embedding of the space of fuzzy sets in a normed linear space.
He Ouyang   +3 more
openaire   +3 more sources

Quaternionic Fuzzy Sets

open access: yesAxioms, 2023
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
doaj   +1 more source

Fuzzy Sets

open access: yesInformation and Control, 1965
A fuzzy set is a ``set'' of elements with a continuum of ``grades of membership''. The rigorous definition is: let \(X\) be a set of objects (elements); a fuzzy set \(A\) in \(X\) is defined by a ``membership (characteristic) function'' \(f_A\), which associates with each element \(x\in X\) a real number \(f_A(x)\in [0,1]\).
openaire   +2 more sources

Fuzzy sets and their operations

open access: yesInformation and Control, 1981
Among the basic operations which can be performed on fuzzy sets are the operations of union, intersection, complement, algebraic product and algebraic sum. In addition to these operations, new operations called “bounded-sum” and “bounded-difference” were defined by L. A.
Mizumoto, Masaharu, Tanaka, Kokichi
openaire   +1 more source

Intuitionistic fuzzy sets and some of their so-called extensions [PDF]

open access: yesNotes on IFS
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
doaj   +1 more source

r-fuzzy sets

open access: yesComputers & Mathematics with Applications, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E.S. Lee, P. Wang, Qingde Li
openaire   +2 more sources

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