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Conjugate families of mappings in pointwise metric fuzzy lattices

Xing-hua Zhu and Jian-zhong Xiao ()
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Xing-hua Zhu: Nanjing University of Information Science and Technology
Jian-zhong Xiao: Nanjing University of Information Science and Technology

Fuzzy Information and Engineering, 2010, vol. 2, issue 2, 187-200

Abstract: Abstract In this paper some relations among the axioms of pointwise metric for fuzzy lattices introduced by Shi are studied. By means of the conjugate families of mappings, some representation results are presented concerning metric, pseudometric and pseudo-quasi-metric fuzzy lattices. These results reconcile the metric lattice theory generated via concept of neighborhoodwith the one generated via concept of remote-neighborhood.

Keywords: Fuzzy lattice; Pointwise metric; Conjugate mapping (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s12543-010-0041-x

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