A New Characterization of Compact Sets in Fuzzy Number Spaces | Zendy

Huan Huang | Zendy; Congxin Wu | Zendy

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A New Characterization of Compact Sets in Fuzzy Number Spaces

Author(s) -

Huan Huang,

Congxin Wu

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 - 10.1155/2013/820141

Subject(s) - compact space , mathematics , counterexample , characterization (materials science) , convergence (economics) , fuzzy logic , topology (electrical circuits) , topological space , space (punctuation) , discrete mathematics , pure mathematics , combinatorics , computer science , artificial intelligence , materials science , economic growth , economics , nanotechnology , operating system

We give a new characterization of compact subsets of the fuzzy numberspace equipped with the level convergence topology. Based on this, it is shown that compactness is equivalent to sequential compactness on the fuzzy number space endowed with the level convergence topology. Our results imply that some previous compactness criteria are wrong. A counterexample also is given to validate this judgment

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