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FUZZY ORDERING OF FUZZY NUMBERS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004In this paper we are interested in determining the fuzzy ordering, from smallest to largest, of any finite set of fuzzy numbers. We investigate two methods: (1) using a weak fuzzy ordering; and (2) using a strong fuzzy ordering. Employing a strong fuzzy ordering we show that any finite set of fuzzy numbers has a unique ranking from smallest to largest.
James J. Buckley, Esfandiar Eslami
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Fuzzy domination in fuzzy graphs
Journal of Intelligent & Fuzzy Systems, 2023Let G = (V, μ, σ) be a fuzzy graph on a finite set V. A fuzzy subset μ′ of μ is called a fuzzy dominating set of G if, μ ′ ( v ) + ∑ x ∈ V ( σ ( x , v ) ∧ μ ′ ( x ) ) ≥ μ ( v ) for every v ∈ V . Fuzzy domination number γfz is defined accordingly. In this paper we initiate a study of this parameter.
A. Lekha, K. S. Parvathy
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Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Congxin Wu +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Congxin Wu +3 more
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Fuzzy groups, fuzzy functions and fuzzy equivalence relations
Fuzzy Sets and Systems, 2004To each fuzzy subgroup a fuzzy equivalence relation is associated and it is proved that a fuzzy subgroup is normal if and only if the operation of the group is compatible with its associated fuzzy equivalence relation. In the definition of fuzzy subgroup only the subset is fuzzy whilst the group operation remains crisp.
Demirci, M, Recasens Ferrés, Jorge
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Fuzzy transversals of fuzzy hypergraphs
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roy H. Goetschel Jr. +2 more
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Fuzzy preorder and fuzzy topology
Fuzzy Sets and Systems, 2006The paper deals mainly with fuzzy preorder; to be more specific, the categorical aspects of the interrelationship between fuzzy preorder, topological spaces, and fuzzy topological spaces is investigated. The authors delineate basic properties of continuous t-norms and concrete adjoint functors at the beginning; with a brief review on the connection ...
Hongliang Lai, Dexue Zhang
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Fuzzy ontologies and fuzzy integrals
2011 11th International Conference on Intelligent Systems Design and Applications, 2011Fuzzy ontologies extend classical ontologies to allow the representation of imprecise and vague knowledge. Although a relatively important amount of work has been carried out in the last years and they have been successfully used in several applications, several notions from fuzzy logic, such as fuzzy integrals, have not been considered yet in fuzzy ...
Bobillo F, Straccia U
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Fuzzy Ontology, Fuzzy Description Logics and Fuzzy-OWL
2007The conceptual formalism supported by an ontology is not sufficient for handling vague information that is commonly found in many application domains. We describe how to introduce fuzziness in an ontology. To this aim we define a framework consisting of a fuzzy ontology based on Fuzzy Description Logic and Fuzzy---Owl.
CALEGARI, SILVIA, CIUCCI, DAVIDE ELIO
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On fuzzy-valued fuzzy reasoning
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qihao Chen, Shin Kawase
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FUZZY SENSORS FOR FUZZY CONTROL
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1994This paper introduces sensors employing a fuzzy numeric to symbolic interface. The fundamental design considerations for this kind of fuzzy symbolic sensor, or fuzzy sensor, are formally presented. Then, the use of these components for fuzzy control is discussed and illustrated.
Laurent Foulloy, Sylvie Galichet
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