Open Access
2013 Fuzzy Z -Continuous Posets
S. P. Rao, Q. G. Li
Abstr. Appl. Anal. 2013: 1-14 (2013). DOI: 10.1155/2013/607934


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.


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S. P. Rao. Q. G. Li. "Fuzzy Z -Continuous Posets." Abstr. Appl. Anal. 2013 1 - 14, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095159
MathSciNet: MR3096823
Digital Object Identifier: 10.1155/2013/607934

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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