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An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the natural sciences to the physical sciences, and from technical education to fine arts education.
K. M. Abirami +4 more
wiley +1 more source
Combinations of L-Complex Fuzzy t-Norms and t-Conorms
ZANCO JOURNAL OF PURE AND APPLIED SCIENCES, 2022 This paper investigates the study of -complex fuzzy sets. The -complex fuzzy set, where is a completely distributive lattice, is a generalization of the complex fuzzy set. The fundamental set theoretic operations on -complex fuzzy sets are discussed properly, including -complex fuzzy complement, union and intersection.
openaire +2 more sources
Element-Oriented Construction Methods for Nullnorms on Bounded Lattices
AxiomsNullnorms are aggregation functions with an annihilator and are generalizations of t-norms and t-conorms. After the introduction of the concept of nullnorms on bounded lattices by Karaçal et al., the studies on their construction methods in such ...
Ümit Ertuğrul +2 more
doaj +1 more source
Compactness of first-order fuzzy logics
, 2019 One of the nice properties of the first-order logic is the compactness of satisfiability. It state that a finitely satisfiable theory is satisfiable.
Khatami, Seyed Mohammad Amin
core
On fuzzy reasoning schemes [PDF]
, 1999 In this work we provide a short survey of the most frequently used fuzzy reasoning schemes. The paper is organized as follows: in the first section we introduce the basic notations and definitions needed for fuzzy inference systems; in the second ...
Fullér, Róbert
core +2 more sources
(T, S)-Based Single-Valued Neutrosophic Number Equivalence Matrix and Clustering Method
Mathematics, 2019 Fuzzy clustering is widely used in business, biology, geography, coding for the internet and more. A single-valued neutrosophic set is a generalized fuzzy set, and its clustering algorithm has attracted more and more attention. An equivalence matrix is a
Jiongmei Mo, Han-Liang Huang
doaj +1 more source
Decision Making by Hybrid Probabilistic - Possibilistic Utility Theory [PDF]
It is presented an approach to decision theory based upon nonprobabilistic uncertainty. There is an axiomatization of the hybrid probabilisticpossibilistic mixtures based on a pair of triangular conorm and triangular norm satisfying restricted ...
Endre Pap
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The quest for rings on bipolar scales [PDF]
We consider the interval $]{-1},1[$ and intend to endow it with an algebraic structure like a ring. The motivation lies in decision making, where scales that are symmetric w.r.t.~$0$ are needed in order to represent a kind of symmetry in the behaviour of
Bernard De Baets +2 more
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Konstruksi Implikasi Xor Dan Implikasi E Pada Logika Fuzzy [PDF]
, 2016 Penghubung Xor digunakan untuk menyelesaikan masalah aljabar boolean, tetapi penghubung xor juga bisa menyelesaikan masalah pada logika fuzzy. Diperlukan konsruksi baru agar penghubung Xor bisa dioperasikan dalam himpunan atau logika fuzzy.
TyasLukita, K. (Karunia)
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A Parametric Logarithmic Image Processing Framework Based on Fuzzy Graylevel Accumulation by the Hamacher T-Conorm. [PDF]
Sensors (Basel), 2021 Vertan C, Florea C, Florea L.
europepmc +1 more source