Results 31 to 40 of about 1,637,660 (303)
Fuzzy 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
, 2012 The aim of this paper is to discuss properties of fuzzy regular-flats, fuzzy C- flats, fuzzy alternative-sets and fuzzy i-flats. Moreover, we characterize some peculiar fuzzy matroids via these notions. Finally, we provide a decomposition of fuzzy strong
Talal Ali Al-hawary +1 more
core +1 more source
Journal of Applied Mathematics, 2012 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
doaj +1 more source
Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications
Cumhuriyet 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
Axioms, 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
m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets
The 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
Gradual Sets: An Approach to Fuzzy Sets
Advances in Fuzzy Systems, 2023 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
openaire +6 more sources
Intuitionistic fuzzy sets and some of their so-called extensions [PDF]
Notes on IFSIn 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
A note on operations of hesitant fuzzy sets [PDF]
International 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
Information 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 +3 more sources