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Fuzzy Z‐Continuous Posets

S. P. Rao and Q. G. Li

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The aim of this paper is to generalize fuzzy continuous posets. The concept of fuzzy subset system on fuzzy posets is introduced; some elementary definitions such as fuzzy Z‐continuous posets and fuzzy Z‐algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy Z‐continuous maps under which the images of such fuzzy algebraic structures can be preserved; we also think about fuzzy Z‐continuous closure operators in alternative ways. An extension theorem is presented for extending a fuzzy monotone map defined on the Z‐compact elements to a fuzzy Z‐continuous map defined on the whole set.

Date: 2013
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https://doi.org/10.1155/2013/607934

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:607934

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