Fuzzy uniformities on function spaces | Zendy

J. K. Kohli | Zendy; A.R. Prasannan | Zendy

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Fuzzy uniformities on function spaces

Author(s) -

J. K. Kohli,

A.R. Prasannan

Publication year - 2006

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2006.1922

Subject(s) - mathematics , fuzzy logic , equicontinuity , topology (electrical circuits) , fuzzy number , fuzzy subalgebra , fuzzy mathematics , discrete mathematics , fuzzy set , combinatorics , computer science , artificial intelligence

We study several uniformities on a function space and show that the fuzzy topology associated with the fuzzy uniformity of uniform convergence is jointly fuzzy continuous on Cf (X, Y ) ,the collection of all fuzzy continuous functions from a fuzzy topological space X into a fuzzy uniform space Y . We define fuzzy uniformity of uniform convergence on starplus-compacta and show that its corresponding fuzzy topology is the starplus-compact open fuzzy topology. Moreover, we introduce the notion of fuzzy equicontinuity and fuzzy uniform equicontinuity on fuzzy subsets of a function space and study their properties

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