Fuzzy -Continuous Posets | Zendy

Shi-Yu Rao | Zendy; Qingguo Li | Zendy

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Fuzzy -Continuous Posets

Author(s) -

Shi-Yu Rao,

Qingguo Li

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/607934

Subject(s) - mathematics , fuzzy subalgebra , fuzzy logic , fuzzy set operations , extension (predicate logic) , fuzzy set , algebraic structure , fuzzy number , star product , fuzzy classification , closure (psychology) , discrete mathematics , type 2 fuzzy sets and systems , monotone polygon , algebra over a field , pure mathematics , artificial intelligence , computer science , geometry , economics , market economy , programming language

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

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