Fuzzy -Continuous Posets

S. P. Rao and Q. G. Li

Abstract and Applied Analysis, 2013, vol. 2013, 1-14

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 -continuous posets and fuzzy -algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy -continuous maps under which the images of such fuzzy algebraic structures can be preserved; we also think about fuzzy -continuous closure operators in alternative ways. An extension theorem is presented for extending a fuzzy monotone map defined on the -compact elements to a fuzzy -continuous map defined on the whole set.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:607934

DOI: 10.1155/2013/607934

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