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Fuzzy Sets and Systems, 2021
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Ma, Junye, Li, Qingguo, Zhou, Xiangnan
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Ma, Junye, Li, Qingguo, Zhou, Xiangnan
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Mathematical Logic Quarterly, 1999
AbstractThe concept of Galois connection between power sets is generalized from the point of view of fuzzy logic. Studied is the case where the structure of truth values forms a complete residuated lattice. It is proved that fuzzy Galois connections are in one‐to‐one correspondence with binary fuzzy relations.
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AbstractThe concept of Galois connection between power sets is generalized from the point of view of fuzzy logic. Studied is the case where the structure of truth values forms a complete residuated lattice. It is proved that fuzzy Galois connections are in one‐to‐one correspondence with binary fuzzy relations.
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Fuzzy connected sets in fuzzy topological spaces
Fuzzy Sets and Systems, 1992The concept of connectedness in fuzzy setting is introduced by different authors in different ways. In this paper the authors introduce one more with reference to one established property of connectedness in general topology; it is shown that this introduced concept is completely new and a comparative study of all the concepts is done.
Chaudhuri, A. K., Das, P.
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1994
In order to be able to work with valued concepts (especially, relations in subsequent chapters) we provide a rather complete and up to date survey of connectives used in fuzzy set theory. This approach to the foundations is only one possible way (for others see Hohle and Stout (1991)).
János Fodor, Marc Roubens
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In order to be able to work with valued concepts (especially, relations in subsequent chapters) we provide a rather complete and up to date survey of connectives used in fuzzy set theory. This approach to the foundations is only one possible way (for others see Hohle and Stout (1991)).
János Fodor, Marc Roubens
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Fuzzy Galois connections categorically
MLQ, 2010The paper deals with closed categories over complete lattice-ordered monoids \((L, \vee, \wedge, \ast, 1)\). Covariant and contravariant fuzzy Galois connections were introduced and examined by \textit{R. Bělohlávek} [Math. Log. Q. 45, No.~4, 497--504 (1999; Zbl 0938.03079)], and \textit{G. Georgescu} and \textit{A. Popescu} [Soft Comput. 7, No.~7, 458-
Gutiérrez García, Javier +3 more
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Archive for Mathematical Logic, 2004
The present paper introduces and studies fuzzy conjugated pairs, with their underlying closure operators and hierarchical structure. Isotone versions of fuzzy Galois connections and closure operators are also studied, arguing that they are not dual to the antitone ones, but providing quite similar results about them.
Georgescu, George, Popescu, Andrei
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The present paper introduces and studies fuzzy conjugated pairs, with their underlying closure operators and hierarchical structure. Isotone versions of fuzzy Galois connections and closure operators are also studied, arguing that they are not dual to the antitone ones, but providing quite similar results about them.
Georgescu, George, Popescu, Andrei
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Relational fuzzy Galois connections
2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS), 2017We propose a suitable generalization of the notion of Galois connection whose components are fuzzy relations. We prove that the construction embeds Yao's notion of fuzzy Galois connection as a particular case. Although the natural framework for the proposed notion is that of fuzzy preposets, we also prove that it behaves properly with respect to the ...
Inma P. Cabrera +2 more
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Triadic fuzzy Galois connections as ordinary connections
Fuzzy Sets and Systems, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belohlavek, Radim, Osicka, Petr
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A New Fuzzy Connectivity Measure for Fuzzy Sets
Journal of Mathematical Imaging and Vision, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olivier, Nempont +3 more
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2017
In graph theory, edge analysis is not very necessary because all edges have the same weight one. But in fuzzy graphs, the strength of an edge is a real number in [0, 1] and hence the properties of edges and paths may vary significantly from that of graphs. So it is important to identify and study the nature of edges of fuzzy graphs. In Chap. 2, we have
Sunil Mathew +2 more
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In graph theory, edge analysis is not very necessary because all edges have the same weight one. But in fuzzy graphs, the strength of an edge is a real number in [0, 1] and hence the properties of edges and paths may vary significantly from that of graphs. So it is important to identify and study the nature of edges of fuzzy graphs. In Chap. 2, we have
Sunil Mathew +2 more
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