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Robust fuzzy PSS design using ABC [PDF]
, 2011 This paper presents an Artificial Bee Colony (ABC) algorithm to tune optimal rule-base of a Fuzzy Power System Stabilizer (FPSS) which leads to damp low frequency oscillation following disturbances in power systems. Thus, extraction of an appropriate set
Abedinia, Oveis +2 more
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Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets [PDF]
Journal of Mathematics, 2022 Since the sufficient conditions for the maximum value of the intuitionistic fuzzy entropy are not unified and the hesitant fuzzy entropy cannot be compared when the lengths of the hesitation fuzzy elements are not equal, improved axiomatic definitions of intuitionistic fuzzy entropy and hesitant fuzzy entropy are proposed, and new intuitionistic fuzzy ...
Bicheng Yu +4 more
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Picture Hesitant Fuzzy Set and Its Application to Multiple Criteria Decision-Making
Symmetry, 2018 To address the complex multiple criteria decision-making (MCDM) problems in practice, this article proposes the picture hesitant fuzzy set (PHFS) theory based on the picture fuzzy set and the hesitant fuzzy set. First, the concept of PHFS is put forward,
R. Wang, Yanlai Li
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Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 Decision making under uncertainty is a crucial issue and most demanding area of research now a days. Intuitionistic hesitant fuzzy set plays important role in dealing with the circumstances in which decision makers judge an alternative with a collection ...
Rupjit Saikia, Harish Garg, Palash Dutta
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On the Convergence of Fuzzy Sets and the Completeness of the Space of Fuzzy Sets
Journal 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
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New generalization of fuzzy soft sets: $ (a, b) $-Fuzzy soft sets
AIMS Mathematics, 2023 Many models of uncertain knowledge have been designed that combine expanded views of fuzziness (expressions of partial memberships) with parameterization (multiple subsethood indexed by a parameter set).
T. Al-shami, J. Alcantud, A. Mhemdi
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AIMS Mathematics, 2023 The selection of parameters plays a vital role in the multi-attribute decision-making process. In some situations, it is observed that the nature of parameters is ambiguous and a multi-decisive opinion is necessary for managing such parametric ...
Muhammad Ihsan +5 more
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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 \(f_A(x)\in [0,1]\).
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Fuzzy sets and their operations
Information 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
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Fuzzy Set Field and Fuzzy Metric
Advances in Fuzzy Systems, 2014 The notation of fuzzy set field is introduced. A fuzzy metric is redefined on fuzzy set field and on arbitrary fuzzy set in a field. The metric redefined is between fuzzy points and constitutes both fuzziness and crisp property of vector.
Gebru Gebray, B. Krishna Reddy
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