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Cosine similarity and distance measures for p , q - quasirung orthopair fuzzy sets: Applications in investment decision-making. [PDF]
Rahim M +4 more
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Ding-An Chiang, Nancy P. Lin
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Intuitionistic fuzzy sets and -fuzzy sets
Fuzzy Sets and Systems, 2000The definitions of the concepts of \(L\)-fuzzy sets, intuitionistic fuzzy sets (IFSs) [see \textit{K. Atanassov}, ibid. 20, 87--96 (1986; Zbl 0631.03040)] and intuitionistic \(L\)-fuzzy sets (IL-FSs) [see \textit{K. Atanassov} and \textit{S. Stoeva}, in: Cybernetics and systems research 2, Proc. 7th Eur.
Guo-Jun Wang, Ying-yu He
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A Fuzzy Set Corresponding to an Intuitionistic Fuzzy Set
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1998We propose a new approach to find a fuzzy set which corresponds to a given intuitionistic fuzzy set (Atanassov, 1986) in a certain sense. This will help extend a huge array of fuzzy properties, models, etc. available to the case of intuitionistic fuzzy sets.
Eulalia Szmidt, Janusz Kacprzyk
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Picture fuzzy sets and 3-fuzzy sets
2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2018Picture fuzzy sets can be seen as particular "neutrosophic sets", without forming a sublattice. On the other hand, they can be isomorphically related to 3-fuzzy sets, and then they form a bounded lattice. We discuss some possible algebraic looks on picture fuzzy sets and related aggregation functions, including several examples.
Erich-Peter Klement +2 more
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Fuzzy Probabilistic Sets and r-Fuzzy Sets
2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery, 2008In this paper, a connection between the fuzzy probabilistic set and the r-fuzzy set is established. Firstly, a new concept of r-fuzzy nested set is presented and it is pointed that a fuzzy probabilistic set is an equivalent class of a r-fuzzy nested set.
Xue-Hai Yuan +2 more
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Fuzzy Soft Set and Soft Fuzzy Set
2008 Fourth International Conference on Natural Computation, 2008In this paper the concept of soft fuzzy set is given and an example is presented which testifies the existing significance of soft fuzzy set. Then some properties on soft fuzzy set are discussed. At last the relations of fuzzy soft sets and soft fuzzy sets are compared by instances.
Bingxue Yao +2 more
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Fuzzy Judgments and Fuzzy Sets
International Journal of Strategic Decision Sciences, 2010Using fuzzy set theory has become attractive to many people. However, the many references cited here and in other works, little thought is given to why numbers should be made fuzzy before plunging into the necessary simulations to crank out numbers without giving reason or proof that it works to one’s advantage.
Thomas L. Saaty, Liem T. Tran
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International Journal of Foundations of Computer Science, 2007
Extending the notion of context-free languages and equational sets, we use the approximation theory to define boolean subsets and boolean fuzzy subsets of an algebra. We establish some basic properties of boolean fuzzy sets.
Zoltán Ésik, Werner Kuich
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Extending the notion of context-free languages and equational sets, we use the approximation theory to define boolean subsets and boolean fuzzy subsets of an algebra. We establish some basic properties of boolean fuzzy sets.
Zoltán Ésik, Werner Kuich
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International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2008
In this paper we deal with the entropy of fuzzy sets. We first review several defined entropies of fuzzy sets and then propose a new one. Some comparisons are made with some existing entropies to show the effectiveness of the proposed one.
Chao-Ming Hwang, Miin-Shen Yang
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In this paper we deal with the entropy of fuzzy sets. We first review several defined entropies of fuzzy sets and then propose a new one. Some comparisons are made with some existing entropies to show the effectiveness of the proposed one.
Chao-Ming Hwang, Miin-Shen Yang
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